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today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
so to create an electrical field , we have to have a cathode and an anode . the cathode is on this side . remember from general chemistry that at the cathode , reduction takes place , so you 'll have a negative charge .
the cathode is positive in a galvanic cell ... or is this instance different ?
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size .
however , is it possible that the fragments might carry different charges and thus the forces applied might vary , and then that will affect the kinetics ?
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
although this can be used for small pieces of dna , it can also be used for proteins . you might be wondering , what does sds-page even stand for . the sds part is sodium dodecyl sulfate .
what is the difference between sds page under reducing and nonreducing conditions ?
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
you 'll see that whatever sized fragments were in your original samples have effectively split up by their size . and note that in pink , you 'll always want to load something known as a dna ladder . a dna ladder is like a standard . this is something that you buy from a company , and they tell you exactly what sizes t...
and what does the ladder go up by ?
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
so how can we remember the difference between these two types of gels ? remember that sds-page is for small dna or protein cells . s for small , and s for sds .
by any chance , do you know the difference between native page and sds-page for protein electrophoresis ?
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
although this can be used for small pieces of dna , it can also be used for proteins . you might be wondering , what does sds-page even stand for . the sds part is sodium dodecyl sulfate .
what is the difference between sds page under reducing and non reducing conditions ?
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
s for small , and s for sds . and agarose is for bigger fragments of dna . so today we 've talked about how you would setup a gel electrophoresis , why it works , and how you would want to pick the substance but your gel 's made of .
bacterial dna appear as faint bands , what can i do for this ?
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size .
what is purpose by using dna as the gel electrophoresis ?
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
so imagine that being a much finer weaving with smaller pores . although this can be used for small pieces of dna , it can also be used for proteins . you might be wondering , what does sds-page even stand for .
can polyacrylamide gels be used for the analysis of plasmid dna ?
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
the sds part is sodium dodecyl sulfate . this is a chemical agent that denatures proteins , disrupting any non-covalent interactions they may have . this makes it so that the charge of the proteins is n't a factor when they 're separating out onto the gel , and they 're only being separated strictly by size .
what is the chemical formula for barium chloride enneahydrate ?
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
the gel is pretty big . there 's big holes here , so that you 'll be able to separate out the big pieces of dna that come through . however , if you 're trying to separate out little pieces , it wo n't be that obvious , because they 'll all just race through these giant holes . so remember that this is for big dna frag...
if i separate the nucleotides : g , t , a , c of a gene , how to read the sequences ?
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size .
is gel electrophoresis and simple electrophoresis same ?
today , we 'll be talking about gel electrophoresis . what is gel electrophoresis , you might ask . well , it 's a lab technique usually used in the biochemistry lab for separating out dna or proteins based on their size . and let 's talk about how it works . so first , you need to have the gel . this can be made out o...
although this can be used for small pieces of dna , it can also be used for proteins . you might be wondering , what does sds-page even stand for . the sds part is sodium dodecyl sulfate .
what 's the difference between native page , sds-page under reducing conditions & under non-reducing conditions ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
it is linking `` lonely '' to `` bear . '' it is a linking verb . by the same token , we could say , for an action , `` the bear smells a person . ''
please can you explain what a verb is explicitly ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call `` linking verbs . '' or , if you want to call it something fancier , we call that `` state of being verbs . ''
so forms of the word `` to be '' are always linking verbs but other words that link ideas together can also be linking verbs under some circumstances ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
a person . but we could also say , `` the bear smells like cinnamon . '' which , i grant you , is pretty unlikely .
what type of grammar is the word 'like ' in the sentence : the bear smells like cinnamon ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
it is linking `` lonely '' to `` bear . '' it is a linking verb . by the same token , we could say , for an action , `` the bear smells a person . ''
is a state verb the same as a state of being verb ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
a linking verb shows what something is , an action verb shows what something does . so the bear is hungry , the bear looked lonely , the bear smells like cinnamon . these all reflect something about what the bear is .
in the sentence `` the bear is hungry '' why is n't `` hungry '' a noun ( an idea ) ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
a person . but we could also say , `` the bear smells like cinnamon . '' which , i grant you , is pretty unlikely .
i am super confuse about past participle and also with 'been ' and 'being ' could some1 show me what it is or recommend a video on ka ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
what is a bear-like thing to do ? the bear eats a fish . that 's an action .
could `` the bear is eating fish '' be both a linking and action verb ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
this looking is not something the bear is doing , it is how the bear appears to a viewer . so , `` looked '' is connecting `` lonely '' to `` bear . '' it is linking `` lonely '' to `` bear . ''
is `` a bear looked lonely '' belonged to past tense ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
now in this case , this is describing how the bear looks . what the bear looks like . this looking is not something the bear is doing , it is how the bear appears to a viewer .
if the condition is under the present tense , the sentence should be changed to `` a bear looks lonely , '' right ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
so , i am , he is we are , be nice , they were being , they have been , he was , we were . now we use a linking verb when we want to connect one idea to another . so what i 'm gon na do is i 'm gon na divide the screen in half between the action side and the state of being side , just to show you what i mean .
does a linking verb connect 2 nouns ( ideas ) or it can connect a noun to an adjective ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
which , i grant you , is pretty unlikely . do n't go smelling bears . but what `` smells '' is doing here is connecting the idea of cinnamon , to the bear .
a follow up question : why is n't `` feels '' a noun ( an idea ) ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
hello , grammarians . today , we 're talking about verbs and bears .
what is transitive and intransitive vebs ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call `` linking verbs . '' or , if you want to call it something fancier , we call that `` state of being verbs . ''
how many different linking verbs are there ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
but what `` smells '' is doing here is connecting the idea of cinnamon , to the bear . the bear is n't smelling the cinnamon , the bear smells like cinnamon . and that 's the difference between a linking very and an action verb .
is n't the bear is sitting a state of being or an action ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
now in this case , this is describing how the bear looks . what the bear looks like . this looking is not something the bear is doing , it is how the bear appears to a viewer .
so like `` am '' is different from `` is '' ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call `` linking verbs . '' or , if you want to call it something fancier , we call that `` state of being verbs . ''
how are the verbs different ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
a linking verb shows what something is , an action verb shows what something does . so the bear is hungry , the bear looked lonely , the bear smells like cinnamon . these all reflect something about what the bear is .
so can i say the bear were hungry ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
hello , grammarians . today , we 're talking about verbs and bears .
why do cows wear bells ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
some verbs can be used both ways . they can be used both as actions , and as linking verbs . i 'll show you an example of that .
and the actions and the state of being verbs are different ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
they can be used both as actions , and as linking verbs . i 'll show you an example of that . you could say , `` the bear looked at me . ''
for example , one that describes what a `` predicate '' is ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
what is a bear-like thing to do ? the bear eats a fish . that 's an action .
do bears actually eat fish ?
hello , grammarians . today , we 're talking about verbs and bears . we had previously established at least one thing about the verb , and that was that it can show actions . but today i 'd like to introduce the idea that the verb can link ideas to one another . in fact , we have this whole class of verbs that we call...
hello , grammarians . today , we 're talking about verbs and bears .
which is right , '' i am he '' or `` i am him '' ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
how is it that sin2c=2sinccosc ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
what do we get ? we get a b there . we get a b there . and of course you can just arbitrarily multiply an expression by b that 'll change its value so what we could do is multiply the expression by b which we just did we distributed a b across here but they 'll also divide by b where which - so i 'll divide by b . that...
why not numerator sin b ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
so that was a pretty that's.. we 're doing pretty well so far so let 's see what we can do it the next part when the next part of problem . i 'm trying to save some screen real estate right over here okay so they want us to figure out the value of the expression a over c sine of two c - capital c , plus c over a sine o...
could n't sal just have taken the three angles as x , ( x-c ) and ( x+c ) ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
what is meant by cryptography ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
so that was a pretty that's.. we 're doing pretty well so far so let 's see what we can do it the next part when the next part of problem . i 'm trying to save some screen real estate right over here okay so they want us to figure out the value of the expression a over c sine of two c - capital c , plus c over a sine o...
to apply trignometry , should n't a or c be 90* ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
in an arithmetic progression can the difference between the numbers be 0 ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
so we are left with the square root of three that 's a pretty neat problem . and just in case you are curious where it came from , the two thousand and ten iit , iit are these - hard to get into uh ... engineering and science universities in india and gives you the example like you know hundreds of thousands of kids an...
are we supposed to know the law of sines and/or cosines off the top of our head ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
so all they 're saying is is to go from angle a to angle b - however much that is , is this the same amount to go from angle b to angle c. so let 's see what that tells us what that tells us about or maybe tells us , maybe does n't tell us anything about those angles so if we could say we could say we have angle a and ...
and why did we consider a constant n ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
that 's equivalent of multiplying the denominator the denominator there , not b squared that 's equivalent of multiplying the denominator by b that 's the same thing as dividing by b we multiplied by b , divided by b where that 's the same thing as just turning this to b squared now what does this give us well we have ...
how to find equation of circle if diameters are known ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
so we are left with the square root of three that 's a pretty neat problem . and just in case you are curious where it came from , the two thousand and ten iit , iit are these - hard to get into uh ... engineering and science universities in india and gives you the example like you know hundreds of thousands of kids an...
can someone tell me how to find trignometric ratios of values like sin37 or cos37 without using calculator.. ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
b is equal to a plus n and we just figured out that a plus n has to be equal to sixty degrees so using this first piece of information we are able to come up with something pretty tangible b must be equal to sixty degrees and you could try it out with a bunch of numbers that 's an arithmetic progression and once again ...
as it is related to trignometry , it should have a 90degrees angle , so we have found the 60 degrees , thus by using sum of angles of a triangle , we see that the angles are 30,60,90.. is this possible.. ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
what do we get ? we get a b there . we get a b there . and of course you can just arbitrarily multiply an expression by b that 'll change its value so what we could do is multiply the expression by b which we just did we distributed a b across here but they 'll also divide by b where which - so i 'll divide by b . that...
if we muliply ( sinb/b ) and ( b ) the dinominator b will be cancelled , right ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
and of course you can just arbitrarily multiply an expression by b that 'll change its value so what we could do is multiply the expression by b which we just did we distributed a b across here but they 'll also divide by b where which - so i 'll divide by b . that 's equivalent of multiplying the denominator the denom...
what is that thing in trigonometric equation sin and tan ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
so if you add two ab cosine of c on both sides , you get two ab cosine of capital c plus c squared is equal to a squared plus b squared or if you subtract c squared from both sides you get two ab cosine of capital c is equal to a squared plus b squared minus c squared and this is interesting and we can , you know - swi...
of sides in the polygons ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
these are all arithmetic progressions . so all they 're saying is is to go from angle a to angle b - however much that is , is this the same amount to go from angle b to angle c. so let 's see what that tells us what that tells us about or maybe tells us , maybe does n't tell us anything about those angles so if we cou...
in the video , when sal said `` is to go from angle a to angle b- however much that is , is the same amount to go from angle b to angle c '' , is it the non-mathematical way of saying `` the difference between a and b is the same as the difference between b and c '' ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
so all they 're saying is is to go from angle a to angle b - however much that is , is this the same amount to go from angle b to angle c. so let 's see what that tells us what that tells us about or maybe tells us , maybe does n't tell us anything about those angles so if we could say we could say we have angle a and ...
. since we are using trig , ca n't we assume that either a or c is 90 ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
b is equal to a plus n and we just figured out that a plus n has to be equal to sixty degrees so using this first piece of information we are able to come up with something pretty tangible b must be equal to sixty degrees and you could try it out with a bunch of numbers that 's an arithmetic progression and once again ...
can the triangle abc be a 30 60 90 triangle , since 30 +30 = 60 and 60 + 30 = 90 ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
we have - we started introducing b into the equation and that 's the expression that we actually have information about so this to be rewritten as sine of b over b so this is the same thing as sine of capital b over lower case b and this is the same thing sine of capital b over lower case b and they are both being mult...
how can we replace 2ab cosc = a^2 + b^2 - c^2 with 2bc cosa = c^2 + b^2 - a^2 ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
that 's equivalent of multiplying the denominator the denominator there , not b squared that 's equivalent of multiplying the denominator by b that 's the same thing as dividing by b we multiplied by b , divided by b where that 's the same thing as just turning this to b squared now what does this give us well we have ...
what 's up with the equation sal is writing ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
these are all arithmetic progressions . so all they 're saying is is to go from angle a to angle b - however much that is , is this the same amount to go from angle b to angle c. so let 's see what that tells us what that tells us about or maybe tells us , maybe does n't tell us anything about those angles so if we cou...
at about how does sal know to add a constant to angle a ( and then angle b ) instead of multiply ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
do you only add constants in arithmetic sequences ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
i can swap the letters times the cosine of a here i 'm swaping the as and cs , is equal to c squared plus b squared minus a squared there 's nothing unique about sides c i can do this with all of the sides so here it 's a big c here you have an a and a b out front and then you have the a square plus b squared minus the...
if so , what do you call a sequence where every term is multiplied by a constant ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
we have - we started introducing b into the equation and that 's the expression that we actually have information about so this to be rewritten as sine of b over b so this is the same thing as sine of capital b over lower case b and this is the same thing sine of capital b over lower case b and they are both being mult...
how was sal able to swap the letters `` a '' and `` a '' with `` c '' and `` c '' and have the equation still equal the original ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
these are all arithmetic progressions . so all they 're saying is is to go from angle a to angle b - however much that is , is this the same amount to go from angle b to angle c. so let 's see what that tells us what that tells us about or maybe tells us , maybe does n't tell us anything about those angles so if we cou...
how to find the solution if the angle were in a harmonic progression ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
these are all arithmetic progressions . so all they 're saying is is to go from angle a to angle b - however much that is , is this the same amount to go from angle b to angle c. so let 's see what that tells us what that tells us about or maybe tells us , maybe does n't tell us anything about those angles so if we cou...
sir why we tell tan as tan only why not any other symbol ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
so we are left with the square root of three that 's a pretty neat problem . and just in case you are curious where it came from , the two thousand and ten iit , iit are these - hard to get into uh ... engineering and science universities in india and gives you the example like you know hundreds of thousands of kids an...
what does iit jee stand for ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
b is equal to a plus n and we just figured out that a plus n has to be equal to sixty degrees so using this first piece of information we are able to come up with something pretty tangible b must be equal to sixty degrees and you could try it out with a bunch of numbers that 's an arithmetic progression and once again ...
how there is 60 in 2 ?
if the angles a , b , and c of a triangle are in an arithmetic progression and if a , b and c - lower case a , b and c denote the length of the sides opposite to the capital , the angles a - capital a , capital b and capital c respectively then what is the value of this expression right over here so let 's if we can wo...
what do we get ? we get a b there . we get a b there .
if we apply projection rule i.e acosc+ccosa=b then we can get it easily , right ?
- andrey , andrey ? andrey starts working on his science project at 4 o'clock pm , and he finishes 50 minutes later . which number line below has a red dot marking when andrey finishes working on his science project ? so they tell us that he starts his science project at 4 o'clock pm . this first choice over here , put...
it says right over there she started reading at 8:10 pm . 8:10 pm . what time did anna finish reading ?
so if an old arcade game is scheduled to be unplugged at 9 am tomorrow , and it is pm , how long ( in hours and minutes ) will it be until the game is unplugged ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
it 's usually drawn as a diamond shape , and this is a voltage source , but it 's a special kind of voltage source . it 's called a voltage-dependent voltage source . and it 's the same as a regular ideal voltage source except for one thing , it says that the v , in this case v out , equals gain times v plus minus v mi...
and what does a -negative voltage even mean ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
so that gives me , v not plus a v not , times r2 over r1 plus r2 and that equals a times v plus , and actually i can change that now v plus is what ? v plus is v in . okay let 's keep going i can factor out the v not .
how can you say v+ is vin ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
so that gives me , v not plus a v not , times r2 over r1 plus r2 and that equals a times v plus , and actually i can change that now v plus is what ? v plus is v in . okay let 's keep going i can factor out the v not .
why cant the inverting input ( v- ) simply be connected to v_out ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
so let 's see if we can do that . let 's give our resistors some names . let 's call this r1 , and r2 , our favorite names always , and now everything is labeled .
why do we need tgose extra resistors ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
this is called v not equals v in , times what ? times r1 plus r2 , divided by r2 . so our amplifier , our feedback circuit came down to v out is v in multiplied by the ratio of the resistors that we added to the circuit .
why ca n't the voltage divider equation be vo = v in* ( r2 ) /r1+r2 ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
this is called v not equals v in , times what ? times r1 plus r2 , divided by r2 . so our amplifier , our feedback circuit came down to v out is v in multiplied by the ratio of the resistors that we added to the circuit .
why does r2 go on the numerator and not r1 ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
alright so we 're getting close , and our original goal , we want to find v out in terms of v in . so i 'm going to take this whole expression here and divide it over to the other side , so then i have just v not on this side , and v in on the other side . make some more room .
if the + side of a power supply is hooked to a circuit and the - side is simply grounded , how can we expect it to work ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
so this expression came out with a positive sign , right ? all the r 's are positive values , so this is referred to as a non-inverting op-amp circuit amplifier . so just to do a quick example , if r1 and r2 are the same , then we end up with an expression that looks like this v out equals r1 plus r2 , r plus r over r ...
without those extra resistors will the gain of the non-inverting op amp be 1 ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
it 's usually drawn as a diamond shape , and this is a voltage source , but it 's a special kind of voltage source . it 's called a voltage-dependent voltage source . and it 's the same as a regular ideal voltage source except for one thing , it says that the v , in this case v out , equals gain times v plus minus v mi...
so the resisters decide the 'gain ' in the voltage ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
we had a resistor , we had a resistor to the ground , and this is v out . so this is the configuration of a non-inverting amplifier built with an op-amp , the two resistors in this voltage divider string connected to the negative input . so that 's what non-inverting op-amp circuit looks like , and it 's going to be on...
is the non-inverting amplifier always designed to have two resistors stacked on one another while connected to vout ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
and what do we know about this ? we know that v out equals some gain , i 'll write the gain right there . a big , big number times v minus , sorry v plus minus v minus , and let 's label that .
is a is a symbol for gain ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
it 's usually drawn as a diamond shape , and this is a voltage source , but it 's a special kind of voltage source . it 's called a voltage-dependent voltage source . and it 's the same as a regular ideal voltage source except for one thing , it says that the v , in this case v out , equals gain times v plus minus v mi...
why is the circle used to denote a voltage source ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
so that gives me , v not plus a v not , times r2 over r1 plus r2 and that equals a times v plus , and actually i can change that now v plus is what ? v plus is v in . okay let 's keep going i can factor out the v not .
here v- is ground and one end of the resistance is ground what does it mean ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
it 's usually drawn as a diamond shape , and this is a voltage source , but it 's a special kind of voltage source . it 's called a voltage-dependent voltage source . and it 's the same as a regular ideal voltage source except for one thing , it says that the v , in this case v out , equals gain times v plus minus v mi...
does a ground voltage means a earthing current ?
okay , now we 're going to work on our first op-amp circuit . here 's what the circuit 's going to look like . watch where it puts the plus sign is on the top on this one . and we 're going to have a voltage source over here . this will be plus or minus v in , that 's our input signal . and over on the output , we 'll...
let 's keep going , let 's keep working on this . v not equals a times v plus minus a v not , r2 over r1 plus r2 . alright , so now i 'm going to gather all the v not terms over on the left hand side .
also at 5.45 how does the expression for v- involve r2 rather than r1 in the numerator ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
however , i think that the term common cold does n't really capture the seriousness of this disorder . because depression is n't just feeling down once in awhile . and it 's not feeling sadness or grief at appropriate times , which is just a normal part of life .
is it possible a person with clinical depression does n't want to be helped ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
so is it something that i did ? or is it something that happened because of something that is completely out of my control ? did i get a bad grade on a test because i did n't study ?
is it completely ruled out that depression is caused by some kind of pathogen , like a virus or something ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
and i 'll abbreviate that here by writing nt for neurotransmitter . research has suggested that individuals with depression might have fewer receptors for serotonin and norepinephrine . and i think that all of this research is amazing .
..i wan na ask if the depression of a genetic cause like fewer receptors for serotonin why the symptoms of depression appear suddenly however , this patient has this number of receptors throughout life ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
and i 've been writing in this blue color to kind of signify depression , but i 'm kind of getting bored with it now , so let me switch it up . so there are a number of factors that may be involved in depression and i 'm going to split them up into three categories : biological factors , psychological factors and socio...
7 would it not be more accurate if you call it `` biochemical factors '' instead of `` biological factors '' ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
it is n't always clear . environmental and sociocultural factors can also have a strong influence on depression . having a friend or partner or roommate with depression can actually increase the likelihood that individuals around them will also develop depression . and although we do n't know exactly why that is , some...
which age group mostly suffers from depression ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
and on some level , this is kind of normal . it is perfectly normal for close friends to take on some of the negative feelings of the other , like being sad when they lose someone who is close to them or being angry if they were dumped by their partner . this is just natural empathy .
can someone be depressed but not be suicidal ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
however , i think that the term common cold does n't really capture the seriousness of this disorder . because depression is n't just feeling down once in awhile . and it 's not feeling sadness or grief at appropriate times , which is just a normal part of life .
or is depression always accompanied with feeling suicidal ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
individuals with depression also tend to show fluctuations in weight . so either a lot of weight gain or a lot of weight loss . and they might also have trouble sleeping or they might sleep too much .
what would constitute as a lot of weight loss or gain ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
but for individuals in some eastern cultures , especially cultures where it might be seen as inappropriate to delve into or talk about feelings and emotions , people in these cultures tend to think about depression and experience depression in terms of these bodily symptoms , and so it 's really important that these ar...
why mental health care is not included in the curriculum of developing country education system like pakistan and india ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
and this could help to explain why individuals with depression might not find enjoyment in the actions that they once found pleasurable . depression has also been associated with certain neurotransmitters and neurotransmitter regulation . and i 'll abbreviate that here by writing nt for neurotransmitter .
is it possible that certain personality types are prone to depression ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
it is n't always clear . environmental and sociocultural factors can also have a strong influence on depression . having a friend or partner or roommate with depression can actually increase the likelihood that individuals around them will also develop depression . and although we do n't know exactly why that is , some...
so is depression the only study of psychology ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness .
what is an ecological variable ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness .
depression is a chemical imbalance of the brain , however , if something major happen , how does that chemical imbalance occur ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness .
is being a psycologist considered a doctor ?
- [ voicover ] major depressive disorder , which is sometimes just referred to as depression , is characterized by prolonged helplessness and discouragement about the future . individuals with this disorder have low self-esteem and very powerful feelings of worthlessness . they also lack the energy to do the things tha...
and that 's a behavioral theory or way of thinking about depression , but there are cognitive theories about it as well . and these theories tend to focus on thoughts or beliefs that , with repetition , could trigger depression . and while it 's true that everyone has negative or self-destructive thoughts every once in...
can depression trigger a person to perform violante events ?
what we 're going to talk about in this video are the origins of the russian people . and in particular , we 're going to talk about the eastern slavs who not just modern russians , but also ukrainians and belorussians view as their ancestors . so let 's think about the world in the ninth century . the early ninth cen...
and then you have the eastern slavs in what will eventually be russia , belarus , and ukraine . now to be clear , they were n't unified groups . there were many many many , for example , eastern slavic tribes .
how closely related are these slavic groups ?
what we 're going to talk about in this video are the origins of the russian people . and in particular , we 're going to talk about the eastern slavs who not just modern russians , but also ukrainians and belorussians view as their ancestors . so let 's think about the world in the ninth century . the early ninth cen...
and it is also the viking age . so we have here in this magenta color , this would be modern day sweden , but it was also the home of the varangians , or whom we later would refer to as the vikings , and we know them to be great seafarers . in western europe , they 're viewed as raiders of towns along the coast .
would a russian have extremely similar genes as someone from croatia or the czech republic ?
what we 're going to talk about in this video are the origins of the russian people . and in particular , we 're going to talk about the eastern slavs who not just modern russians , but also ukrainians and belorussians view as their ancestors . so let 's think about the world in the ninth century . the early ninth cen...
you have the southern slavs in what would eventually be referred to as the balkans . and then you have the eastern slavs in what will eventually be russia , belarus , and ukraine . now to be clear , they were n't unified groups .
were the `` rus '' eastern orthodox christians since they conquered the eastern slavs ?
so here i want to talk about the gradient and the context of a contour map . so let 's say we have a multivariable function . a two-variable function f of x , y . and this one is just gon na equal x times y . so we can visualize this with a contour map just on the xy plane . so what i 'm gon na do is i 'm gon na go ov...
so all of these lines , they 're representing constant values for the function . and now i want to take a look at the gradient field . and the gradient , if you 'll remember , is just a vector full of the partial derivatives of f. and let 's just actually write it out .
given a vector field , is it always the gradient field of a function ?
so here i want to talk about the gradient and the context of a contour map . so let 's say we have a multivariable function . a two-variable function f of x , y . and this one is just gon na equal x times y . so we can visualize this with a contour map just on the xy plane . so what i 'm gon na do is i 'm gon na go ov...
but the more you zoom in , the more it looks like a straight line . and when you want to interpret the gradient vector . if you remember , in the video about how to interpret the gradient in the context of a graph , i said it points in the direction of steepest descent .
does the orthogonality propierty of the gradient vector mantains as we go into higher dimensions ?
so here i want to talk about the gradient and the context of a contour map . so let 's say we have a multivariable function . a two-variable function f of x , y . and this one is just gon na equal x times y . so we can visualize this with a contour map just on the xy plane . so what i 'm gon na do is i 'm gon na go ov...
the color represents length . so red here is super-long . blue is gon na be kind of short .
grant said red vectors are super long but they should be super small right ?