In one sentence, describe what the following article is about: One of the most obvious signs of pain is limping. Limping occurs when it hurts to put weight on a leg. If a leg is causing pain, they are less likely to use it, and sometimes may rely on the other three legs. Dogs in pain will also typically move around less. Aside from limping, you may see other mobility changes. For example, your dog may have trouble getting up or down. It might also move around more slowly than usual, or show a reluctance to do certain activities. Hesitance to go up or down stairs, run, or jump can be a sign of pain. Note the position that your dog holds its head or tail. Any change from normal posture, such as a hanging or tucked tail in a dog that normally has an active tail, can be evidence of pain. If your dog is holding a leg differently than it normally does, it could be a sign that it is in pain. Pain may also cause your dog to stand with its back arched or to be very stiff when standing or moving. If your dog is in pain, you may see an increase in their respiratory rate or heavy panting. A dog that pants persistently, especially in cool weather, may be in pain. Your dog's eyes can tell you a lot about any pain it might be experiencing. If there is pain in the eye area, you may see squinting, redness, cloudiness, or a discharge. Your dog also may be rubbing at the area that hurts. If your dog rubs around its eyes frequently, this could be a sign of discomfort in this area. The eyes can also give you a clue about pain in other areas. Squinting can be a sign of pain in the eye area, but some dogs will also squint when they are experiencing pain elsewhere. Dilated pupils can also be a sign that your dog is in pain.
Summary: Watch for limping. Keep an eye out for other mobility issues. Observe changes in posture. Take note of your dog's breathing. Check your dog's eyes.

In one sentence, describe what the following article is about: To get an object's instantaneous velocity, first we have to have an equation that tells us its position (in terms of displacement) at a certain point in time. This means the equation must have the variable s on one side by itself and t on the other (but not necessarily by itself), like this:s = -1.5t2 + 10t + 4 In this equation, the variables are: Displacement = s . The distance the object has traveled from its starting position. For example, if an object goes 10 meters forward and 7 meters backward, its total displacement is 10 - 7 = 3 meters (not 10 + 7 = 17 meters). Time = t . Self explanatory. Typically measured in seconds. The derivative of an equation is just a different equation that tells you its slope at any given point in time. To find the derivative of your displacement formula, differentiate the function with this general rule for finding derivatives: If y = a*xn, Derivative = a*n*xn-1.This rule is applied to every term on the "t" side of the equation. In other words, start by going through the "t" side of your equation from left to right. Every time you reach a "t", subtract 1 from the exponent and multiply the entire term by the original exponent. Any constant terms (terms which don't contain "t") will disappear because they be multiplied by 0. This process isn't actually as hard as it sounds let's derive the equation in the step above as an example:s = -1.5t2 + 10t + 4(2)-1.5t(2-1) + (1)10t1 - 1 + (0)4t0-3t1 + 10t0-3t + 10 " To show that our new equation is a derivative of the first one, we replace "s" with the notation "ds/dt". Technically, this notation means "the derivative of s with respect to t." A simpler way to think of this is just that ds/dt is just the slope of any given point in the first equation. For example, to find the slope of the line made by s = -1.5t2 + 10t + 4 at t = 5, we would just plug "5" into t in its derivative. In our running example, our finished equation should now look like this:ds/dt = -3t + 10 Now that you have your derivative equation, finding the instantaneous velocity at any point in time is easy. All you need to do is pick a value for t and plug it into your derivative equation. For example, if we want to find the instantaneous velocity at t = 5, we would just substitute "5" for t in the derivative ds/dt = -3 + 10. Then, we'd just solve the equation like this:ds/dt = -3t + 10ds/dt = -3(5) + 10ds/dt = -15 + 10 = -5 meters/second Note that we use the label "meters/second" above. Since we're dealing with displacement in terms of meters and time in terms of seconds and velocity in general is just displacement over time, this label is appropriate.
Summary: Start with an equation for velocity in terms of displacement. Take the equation's derivative. Replace "s" with "ds/dt. Plug in a t value for your new equation to find instantaneous velocity.

In one sentence, describe what the following article is about: If the girl gave you her number and you want to start texting with her, a good starting point is to text about something you will both laugh about. Maybe there's an inside joke or something that you both have in common that you can message about. Stay away from texting something boring like, "How are you?" This will probably only get you a boring answer and it won't engage her very much. Send a text with specific details about the last time you were together in person. For example, you might say, "I loved you in that red dress the other day." She'll feel special that you remembered these details. Sending 20 texts in different parts of the day will likely be overwhelming. Stick to 3 or 4 text sessions where you send her a quick message and respond a few times to her texts. Texting is a good supplement to other interactions, like meeting up in person or talking on the phone. Texting can help you flirt, but it shouldn't be the only way you flirt with someone. Even if you're shy, you should get to know this girl by talking on the phone or going on a casual outing together. A girl might be at work or busy doing something and can't always immediately text back. She might not be into texting and would prefer a phone call. Get a feel for how she responds to your texts and don't take it personally.
Summary:
Text an inside joke. Mention details. Don't text too much. Don't rely only on texting. Don't get upset if she doesn't text back.