MikaStars39/nano-eval huggingface dataset:
"Culture harbors tremendous power, this 'power' differs from the 'force' in physics, the physical 'force' is used by humans to 'transform' the natural world, while the 'power' of culture is used to 'transform' oneself." This statement indicates:

Options:
A. Culture has the function of cultivating and shaping individuals
B. Culture constructs the essence of human beings
C. Culture is a means of influencing and guiding societal norms
D. Culture is the foundation of individual identity and behavior
E. Culture is a mechanism for social and individual transformation
F. Culture is a process of self-reflection and personal growth
G. Culture is a tool for social control and manipulation
H. Culture is the leading force of social development
I. Culture is the foundation of societal and individual development
J. Culture is the source of historical progress
Answer: A
The necessary and sufficient condition for the winding transformation of a three-phase asynchronous motor is ( ).

Options:
A. The rotor magnetic potential is doubled before and after the transformation
B. The rotor winding resistance remains unchanged before and after the transformation
C. The rotor magnetic potential remains unchanged before and after the transformation
D. The leakage flux remains unchanged before and after the transformation
E. The rotor winding electromotive force equals the stator electromotive force before and after the transformation
F. The rotor magnetic potential is halved before and after the transformation
G. The rotor magnetic flux remains unchanged before and after the transformation
H. The rotor magnetic potential is reduced by 50% before and after the transformation
I. The main flux remains unchanged before and after the transformation
J. The rotor winding inductance remains unchanged before and after the transformation
Answer: C
Conditions that can easily lead to hyperkalemia in patients are

Options:
A. hyperglycemia
B. oral furosemide
C. diabetic ketoacidosis
D. hypomagnesemia
E. metabolic alkalosis
F. hypoglycemia
G. vomiting
H. hypokalemia
I. metabolic acidosis
J. intravenous insulin infusion
Answer: C
$int_{{}}^{{}}{frac{sin 2x}{{{cos }^{2}}x+2sin x}dx}=$

Options:
A. $-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1+sin x}{sqrt{2}-1-sin x} right|+C$
B. $-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1-sin x}{sqrt{2}+1+sin x} right|+C$
C. $ln |{{cos }^{2}}x+2sin x|-frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1+sin x}{sqrt{2}+1-sin x} right|+C$
D. $-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}+1+sin x}{sqrt{2}-1-sin x} right|+C$
E. $-ln |{{cos }^{2}}x+2sin x|-frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1+sin x}{sqrt{2}+1-sin x} right|+C$
F. -ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}+1+sin x}{sqrt{2}-1+sin x} right|+C
G. $ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1+sin x}{sqrt{2}+1-sin x} right|+C$
H. $-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}+1-sin x}{sqrt{2}-1+sin x} right|+C$
I. $-ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}-1+sin x}{sqrt{2}+1-sin x} right|+C$
J. -ln |{{cos }^{2}}x+2sin x|+frac{sqrt{2}}{2}ln left| frac{sqrt{2}+1+sin x}{sqrt{2}+1-sin x} right|+C
Answer: I
The relative clearance Ψ of a radial sliding bearing is usually selected based on

Options:
A. bearing load F and the linear speed u of the bearing housing
B. bearing load F and the radial speed r of the shaft neck
C. viscosity of lubricating oil and shaft speed n
D. bearing load F and the circumferential speed v of the shaft neck
E. bearing load F and shaft diameter d
F. bearing load F and the linear speed u of the shaft neck
G. bearing load F and viscosity of lubricating oil
H. bearing load F and the tangential speed t of the bearing housing
I. bearing load F and the tangential speed t of the shaft neck
Answer: D
The structural basis for the 'after-discharge' effect in reflex activities is which type of connection between central neurons?

Options:
A. Divergent
B. Ring
C. Parallel
D. Spiral
E. Loop
F. Chain
G. Circular
H. Convergent
Answer: B
Globalization refers to the increasingly broad, deep, and accelerated global interconnections, mainly reflected in which of the following levels?

Options:
A. Organizational level (referring to various global organizations and regional groups, etc.)
B. Economic level (referring to the integration of global markets and financial systems, etc.)
C. Cultural level (referring to the spread of global cultural practices and media, etc.)
D. Material level (referring to global transportation, information, and banking systems, etc.)
E. Technological level (referring to advancements in global communication and digital infrastructure, etc.)
F. Symbolic level (such as English becoming a de facto global language)
G. Normative level (referring to various global trade agreements and governance frameworks, etc.)
H. Social level (referring to the interconnectedness of global social networks and communities, etc.)
I. Environmental level (referring to global efforts in climate change and environmental protection, etc.)
J. Infrastructure level (referring to the development of global physical and digital infrastructure, etc.)
Answer: D
Zhang lost his famous watch, which was found by Li. One year later, Li sold the watch to Wang. Another year later, Wang sold the watch to Zheng. Zheng entrusted the watch to Zhu, who was unaware of the situation, for repair. Due to Zheng's refusal to pay the repair fee, a dispute arose between Zheng and Zhu, and Zhang then learned the details. Which of the following statements is correct?

Options:
A. Zhang can request the current repairer to return the watch
B. Zhang can request the repairer to return the watch if the repair fee is paid
C. Zhang can request Li to return the watch
D. Zhang can request the repairer to return the watch
E. Zhang can request the last known possessor to return the watch
F. Zhang can request the last known buyer to return the watch
G. Zhang can request Zheng to return the watch
H. Zhang can request Wang to return the watch
I. Zhang can request Zhu to return the watch
J. Zhang can request the current possessor to return the watch
Answer: I
The correct statement about transcription in eukaryotic cells is

Options:
A. Some sequences in genes in eukaryotic cells are partially retained in the corresponding mature mRNA
B. Some sequences in genes in eukaryotic cells are completely removed during mRNA processing
C. A DNA containing one structural gene usually transcribes into two mRNAs
D. mRNA transcribed from complementary DNA strands is the same
E. Some sequences in genes in eukaryotic cells are completely retained in the corresponding mature mRNA
F. Some sequences in genes in eukaryotic cells are partially removed during mRNA processing
G. Some sequences in genes in eukaryotic cells do not exist in the corresponding mature mRNA
H. Some sequences in genes in eukaryotic cells are always present in the corresponding mature mRNA
I. Some sequences in genes in eukaryotic cells are always removed during mRNA processing
J. In eukaryotic cells, some genes are regulated by multiple enhancers
Answer: G
If in the graph of a perfectly competitive firm, the point where MR equals MC falls on the part of the MR curve that is above the AVC curve but below the ATC curve, then: P: Price, ATC: Average Total Cost, MC: Marginal Cost, MR: Marginal Revenue, AVC: Average Variable Cost

Options:
A. At that output, the firm is not making a profit, but it will continue to produce as long as it covers its fixed costs
B. At that output, the firm is not making a profit, and it should consider shutting down in the short term
C. At that output, the firm is not making a profit, but it will continue to produce as long as it covers its variable costs
D. At that output, the firm is not making a profit, but in the short term, the firm will continue to produce
E. At that output, the firm is not making a profit, and the best decision for the firm is to shut down
F. At that output, the firm is incurring a loss, but it is less than the loss if it shut down
G. The firm is making a profit, but it is less than the profit it would make if it shut down
H. As long as it is above variable costs, the firm will make a profit
I. At that output, the firm is not making a profit, and it should consider shutting down in the long term
J. The firm's operations can cover explicit costs but not implicit costs
Answer: D
A 54-year-old woman. She has been menopausal for 9 years and has had blood-tinged vaginal discharge for 1 week. Colposcopy shows a cervix with an appearance of erosion. Gynecological examination reveals no other abnormalities except for a slightly smaller uterus. Transvaginal ultrasound shows an endometrial thickness of 3mm. The first recommended auxiliary examination for this patient should be

Options:
A. Colposcopy with directed biopsy
B. Multiple cervical biopsies
C. Cervical smear
D. Endometrial biopsy
E. Pelvic MRI
F. Fractional curettage and biopsy
G. Cervical cytology and HPV DNA test
H. Cervical cytology
I. Colposcopy
J. Cervical HPV DNA test
Answer: H
The area of the region enclosed by the curve \(y=\frac{1}{x}\), the line \(y=x\), and the line \(x=2\) is \(=\).

Options:
A. \(\frac{3}{2}+\ln 2\)
B. \(\frac{4}{2}-\ln 2\)
C. \(rac{5}{2}+\ln 2\)
D. \(rac{3}{2}-\ln 2\)
E. \(rac{5}{2}-\ln 2\)
F. \(\frac{3}{2}-2\ln 2\)
G. \(\frac{1}{2}-\ln 2\)
H. \(\frac{7}{2}-\ln 2\)
I. \(\frac{3}{2}-\ln 4\)
J. \(\frac{3}{2}-\ln 2\)
Answer: J
Let $f(x) = \frac{1}{{{\rm{e}}^{\frac{x}{{x - 1}}} - 1}}$, then ( ).

Options:
A. $x=0,x=1$ are both second-class discontinuities of $f(x)$
B. $x=0,x=1$ are both first-class discontinuities of $f(x)$
C. $x=0$ is a removable discontinuity of $f(x)$, $x=1$ is a first-class discontinuity of $f(x)$
D. $x=0$ is a removable discontinuity of $f(x)$, $x=1$ is a second-class discontinuity of $f(x)$
E. $x=0$ is a removable discontinuity of $f(x)$, $x=1$ is a removable discontinuity of $f(x)$
F. $x=0$ is a second-class discontinuity of $f(x)$, $x=1$ is a removable discontinuity of $f(x)$
G. $x=0$ is a second-class discontinuity of $f(x)$, $x=1$ is a first-class discontinuity of $f(x)$
H. $x=0$ is a first-class discontinuity of $f(x)$, $x=1$ is a removable discontinuity of $f(x)$
I. $x=0$ is a first-class discontinuity of $f(x)$, $x=1$ is a second-class discontinuity of $f(x)$
Answer: G
Given $ x=acos t, y=bsin t $ ($t$ is a parameter), then $frac{{{text{d}}^{2}}y}{text{d}{{x}^{2}}}=$( ).

Options:
A. $frac{b}{a}cs{{c}^{2}}t$
B. -frac{b}{{{a}^{2}}}cs{{c}^{2}}tcdot tan t
C. $-frac{b}{{{a}^{2}}}cs{{c}^{3}}tcdot tan t$
D. $-acs{{c}^{2}}tcdot sin t$
E. $frac{b}{{{a}^{2}}}cs{{c}^{2}}tcdot cos t$
F. $-frac{b}{{{a}^{2}}}cs{{c}^{2}}tcdot sin t$
G. $-frac{b}{{{a}^{2}}}cs{{c}^{2}}tcdot cos t$
H. $-frac{b}{{{a}^{2}}}cs{{c}^{3}}tcdot cos t$
I. $-frac{b}{{{a}^{2}}}cs{{c}^{3}}t$
J. $-frac{b}{{{a}^{2}}}cs{{c}^{3}}tcdot sin t$
Answer: I
The general solution of the equation $y' + \frac{1}{x} y = x^3$ is

Options:
A. \frac{1}{5}x^4 + \frac{C}{x^2}
B. $x^4 + C$
C. $\frac{1}{4}x^4 + \frac{C}{x}$
D. $rac{1}{5}x^4 + rac{C}{x}$
E. $\frac{1}{5}x^4 + Cx^2$
F. $\frac{1}{5}x^4 + Cx$
G. $\frac{1}{4}x^4 + \frac{C}{x^2}$
H. $rac{1}{5}x^4 + C$
I. \frac{1}{5}x^4 + \frac{C}{x^3}
J. $\frac{1}{5}x^4 + \frac{C}{x}$
Answer: J
Creative transformation and innovative development of traditional culture not only requires exploring its connotations, but also requires ()

Options:
A. proposing concepts, propositions, and solutions that reflect China's position, wisdom, and values
B. proposing concepts, propositions, and solutions that reflect the universal values and China's global influence
C. promoting competition between traditional culture and foreign cultures
D. organizing and publishing existing achievements of traditional culture
E. proposing concepts, propositions, and solutions that reflect the universal values and global trends
F. integrating traditional culture into modern education and media to enhance public awareness
G. promoting the fusion of traditional culture with modern technology and innovation
H. promoting the global recognition of traditional culture through international cultural exchanges and collaborations
I. enhancing the commercial value of traditional culture through modern marketing strategies
J. vigorously promoting traditional culture overseas
Answer: A
Company C had liabilities of 30 million and equity of 60 million at the end of 2015, with a pre-tax cost of debt of 8%, and an income tax rate of 20%. Assuming the cost of equity for Company C with no debt is 9%, and the cost of equity with debt considering income tax is 13%, how much higher should the cost of equity with debt be without considering income tax compared to when income tax is considered?

Options:
A. 1%
B. 0.1%
C. 0.3%
D. 0.001%
E. 0.05%
F. 0.2%
G. 0.005%
H. 0.5%
I. 0.01%
J. 0.002%
Answer: B
Thirst with a dry and bitter mouth, frequent drinking due to thirst, good appetite and easy hunger, frequent urination with yellow color, thick and sticky yellow phlegm that is difficult to expel, chest tightness and irritability, insomnia with many dreams, dry and hard stools. Red tongue, yellow greasy coating, wiry and slippery pulse, the syndrome differentiation belongs to ( ).

Options:
A. Stagnation of Blood Stasis Syndrome
B. Phlegm-Heat with Yin Deficiency Syndrome
C. Phlegm-Heat Obstruction Syndrome
D. Heat-Toxin with Damp-Heat Syndrome
E. Heat-Toxin with Phlegm-Heat Syndrome
F. Damp-Heat Obstruction Syndrome
G. Heat-Toxin Accumulation Syndrome
H. Yin Deficiency with Damp-Heat Syndrome
I. Yin Deficiency with Heat Syndrome
J. Heat-Toxin with Phlegm-Obstruction Syndrome
Answer: C
Let the function be continuous on the closed interval , and , then which of the following statements is correct?

Options:
A. There is at least one point in the open interval such that
B. There is only one point in the closed interval such that
C. There is at least one point in the closed interval such that
D. There is at least one point in the closed interval such that the function is not continuous.
E. There is at least one point in the open interval such that the function is continuous.
F. There is at least one point in the open interval such that the function is not continuous.
G. There is at least one point in the open interval such that the function is not differentiable.
H. There is only one point in the open interval such that
I. There is no point in the open interval such that
J. There is at least one point in the closed interval such that the function is continuous.
Answer: A
Given that \( e^{-x} \) is an antiderivative of \( f(x) \), then \( \int xf(x)dx = \) ( )

Options:
A. \( e^{-x}(x + 1) + C \)
B. -e^{-x}(x + 0.5) + C
C. -e^{-x}(x - 1) + C
D. -e^{-x}(x + 2) + C
E. \( e^{-x}(1 - x) + C \)
F. -e^{-x}(x + 3) + C
G. \( e^{-x}(x - 1) + C \)
H. \( -e^{-x}(x + 1) + C \)
I. -e^{-x}(x - 2) + C
J. -e^{-x}(x + 0.75) + C
Answer: H
For a helical antenna with a helical diameter of 3 cm, the operating modes at frequencies of 0.5 GHz, 1.2 GHz, and 3 GHz are respectively ()

Options:
A. normal mode, higher-order mode, cut-off mode
B. normal mode, higher-order mode, mixed mode
C. normal mode, higher-order mode, higher-order mode
D. principal mode, higher-order mode, cut-off mode
E. normal mode, normal mode, axial mode
F. conduction mode, radiation mode, cut-off mode
G. normal mode, higher-order mode, normal mode
H. normal mode, higher-order mode, axial mode
I. differential mode, common mode, mixed mode
J. normal mode, normal mode, higher-order mode
Answer: E
Acupoints for treating post-stroke urinary retention with fire needle include ()

Options:
A. Zhongwan, Zhongji, Qihai, Shenshu
B. Guanyuan, Qihai, Zhongji, Shenshu
C. Zhongwan, Shenque, Qihai, Guanyuan
D. Zhongwan, Qihai, Guanyuan, Shenshu
E. Guanyuan, Zhongji, Qihai, Qugu
F. Qihai, Guanyuan, Zhongji, Qugu
G. Guanyuan, Qihai, Zhongji, Shenque
H. Zhongwan, Guanyuan, Qihai, Shenshu
I. Guanyuan, Qihai, Zhongji, Qugu
J. Guanyuan, Zhongji, Qihai, Shenshu
Answer: J
During the mitotic phase of onion root tip cells, the period when the number of DNA molecules and chromosomes in each cell is different is

Options:
A. anaphase and telophase
B. metaphase and anaphase
C. prophase and metaphase
D. metaphase and telophase
E. prophase and telophase
F. prophase and anaphase
Answer: A
Before the 'Wuxu Reform', among the figures who first opened the cultural atmosphere in Qianzhong, ( ) served as the academic official of Guizhou and founded the Jingshi School. He made significant contributions to the modernization of Guizhou's education and was praised by the people of Guizhou as 'there has been no such literary master for two hundred years'.

Options:
A. Wang Fuzhi
B. Yan Xiu
C. Ping Gang
D. Zhang Zhidong
E. Liang Qichao
F. Wang Xiu
G. Lei Tingzhen
Answer: B
After n generations in a 14N culture medium, how many double-stranded DNA molecules contain only 14N, if a double-stranded DNA fragment was initially labeled with 15N isotope?

Options:
A. 2^(n-1)-1
B. 2^n+2
C. 2^(n-1)
D. 2^n-1
E. 2^n-2
F. 2^n+1
G. 2^(n-1)-2
H. 2^(n-2)
I. 2^n-3
J. 2^n
Answer: E
A factory originally has a working day of 12 hours, with necessary labor time and surplus labor time each being 6 hours. If the method of producing relative surplus value is adopted, and the surplus labor time is increased by 2 hours, what is the rate of surplus value?

Options:
A. 200%
B. 250%
C. 180%
D. 160%
E. 175%
F. 100%
G. 150%
H. 125%
I. 225%
J. 300%
Answer: A
Wu Linglan is an excellent student who is confused and lost when choosing between arts and sciences. Faced with the teacher's question 'What is ( )?', he is at a loss to answer. At this point, he has lost his direction and himself.

Options:
A. principle
B. ideal
C. honesty
D. hypothesis
E. truth
F. certainty
G. faith
H. insight
I. reality
J. belief
Answer: E
A machine can be in two states, 0 and 1, where state 0 represents a machine failure and state 1 represents the machine running well. Before a failure occurs, the time the machine stays in good condition follows an exponential distribution with a rate of 1/3. After a failure, the time to repair and return to good condition follows an exponential distribution with a rate of 1/2. Given that the machine is running well at t=0, the probability that it is still running well at t=1 is

Options:
A. 1/5+4exp{-1/3}/5
B. 4/5+exp{-5/6}/5
C. 2/5+3exp{-1/6}/5
D. 3/5+2exp{-5/6}/5
E. 1/5+4exp{-1/6}/5
F. 2/5+3exp{-1/3}/5
G. 2/5+3exp{-5/6}/5
H. 3/5+2exp{-1/6}/5
I. 4/5+exp{-1/6}/5
J. 1/5+4exp{-5/6}/5
Answer: D
According to the principle of stationing troops, for an island or reef without troops defending it, the islands or reefs in the same jurisdiction must meet which of the following conditions to ensure that the undefended island or reef is not violated.

Options:
A. There must be three islands in the same jurisdiction each with one troop stationed
B. There must be one island in the same jurisdiction with one troop stationed and another island with two troops stationed.
C. There must be one island in the same jurisdiction with one troop stationed and another island with one troop stationed and another island with one troop stationed.
D. There must be two islands in the same jurisdiction each with one troop stationed
E. There must be one island in the same jurisdiction with one troop stationed and another island with one troop stationed and another island with two troops stationed.
F. There must be two islands in the same jurisdiction each with one troop stationed or one island with two troops stationed.
G. There must be one island in the same jurisdiction with one troop stationed and another island with four troops stationed.
H. There must be one island in the same jurisdiction with two troops stationed
I. There must be one island in the same jurisdiction with one troop stationed and another island with three troops stationed.
J. There must be one island in the same jurisdiction with one troop stationed and another island with one troop stationed.
Answer: F
The material conditions for the transition to socialism prepared by state monopoly capitalism refer to?

Options:
A. Market planning
B. Partial state control
C. Partial socialization
D. Comprehensive commodification
E. Partial socialization and market planning
F. Comprehensive state management
G. Comprehensive state ownership
H. Comprehensive socialization
I. Comprehensive marketization
J. Comprehensive state control
Answer: H
Let matrices A and B both be n-order matrices. If A and B are equivalent, then the correct statement is ( ).

Options:
A. If (|A| > 0), then (|B|>0)
B. If (|A| > 0), then (|B| < 0)
C. If (|A| < 0), then (|B| > 0)
D. (|A|
e |B|)
E. If (|A| \ne 0), then (|B| \ne 0)
F. If (|A| < 0), then (|B| < 0)
G. If (|A| < 0), then (|B| = 0)
H. If (|A| > 0), then (|B| = 0)
I. (|A|=|B|)
J. If (|A|=0), then (|B|=0)
Answer: J
The correct state space representation of the system with the transfer function \( g(s) = \frac{s^2 + 3s + 2}{s(s^2 + 7s + 12)} \) is:

Options:
A. \(\dot{x} = \left[ \begin{matrix} 0 & 0 & 0 \\ 0 & -3 & 0 \\ 0 & 0 & -4 \end{matrix} \right] x + \left[ \begin{matrix} 1 \\ 0 \\ 0 \end{matrix} \right] u, \quad y = \left[ \begin{matrix} \frac{1}{6} & -\frac{2}{3} & \frac{3}{2} \end{matrix} \right] x \)
B. \(\dot{x} = \left[ \begin{matrix} 0 & 0 & 0 \\ 0 & -3 & 0 \\ 0 & 0 & -4 \end{matrix} \right] x + \left[ \begin{matrix} 1 \\ 0 \\ 1 \end{matrix} \right] u, \quad y = \left[ \begin{matrix} \frac{1}{6} & -\frac{2}{3} & \frac{3}{2} \end{matrix} \right] x \)
C. \( \dot{x} = \left[ egin{matrix} 0 & 0 & 0 \ 0 & 3 & 0 \ 0 & 0 & 4 \end{matrix} ight] x + \left[ egin{matrix} 1 \ 1 \ 1 \end{matrix} ight] u, \quad y = \left[ egin{matrix} rac{1}{6} & -rac{2}{3} & rac{3}{2} \end{matrix} ight] x \)
D. \( \dot{x} = \left[ egin{matrix} 0 & 0 & 0 \ 0 & 3 & 0 \ 0 & 0 & -4 \end{matrix} ight] x + \left[ egin{matrix} 0 \ 1 \ 1 \end{matrix} ight] u, \quad y = \left[ egin{matrix} rac{1}{6} & -rac{2}{3} & rac{3}{2} \end{matrix} ight] x \)
E. \( \dot{x} = \left[ \begin{matrix} 0 & 0 & 0 \\ 0 & -3 & 0 \\ 0 & 0 & -4 \end{matrix} \right] x + \left[ \begin{matrix} 1 \\ 0 \\ 1 \end{matrix} \right] u, \quad y = \left[ \begin{matrix} \frac{1}{6} & -\frac{2}{3} & \frac{3}{2} \end{matrix} \right] x \)
F. \( \dot{x} = \left[ \begin{matrix} 0 & 0 & 0 \\ 0 & -3 & 0 \\ 0 & 0 & -4 \end{matrix} \right] x + \left[ \begin{matrix} 1 \\ 1 \\ 1 \end{matrix} \right] u, \quad y = \left[ \begin{matrix} \frac{1}{6} & -\frac{2}{3} & \frac{3}{2} \end{matrix} \right] x \)
G. \(\dot{x} = \left[ \begin{matrix} 0 & 0 & 0 \\ 0 & -3 & 0 \\ 0 & 0 & -4 \end{matrix} \right] x + \left[ \begin{matrix} 1 \\ 1 \\ 0 \end{matrix} \right] u, \quad y = \left[ \begin{matrix} \frac{1}{6} & -\frac{2}{3} & \frac{3}{2} \end{matrix} \right] x \)
H. \(\dot{x} = \left[ \begin{matrix} 0 & 0 & 0 \\ 0 & -3 & 0 \\ 0 & 0 & -4 \end{matrix} \right] x + \left[ \begin{matrix} 0 \\ 1 \\ 0 \end{matrix} \right] u, \quad y = \left[ \begin{matrix} \frac{1}{6} & -\frac{2}{3} & \frac{3}{2} \end{matrix} \right] x \)
I. \( \dot{x} = \left[ egin{matrix} 0 & 0 & 0 \ 0 & -3 & 0 \ 0 & 0 & 4 \end{matrix} ight] x + \left[ egin{matrix} 0 \ 0 \ 1 \end{matrix} ight] u, \quad y = \left[ egin{matrix} rac{1}{6} & -rac{2}{3} & rac{3}{2} \end{matrix} ight] x \)
J. \(\dot{x} = \left[ \begin{matrix} 0 & 0 & 0 \\ 0 & -3 & 0 \\ 0 & 0 & -4 \end{matrix} \right] x + \left[ \begin{matrix} 0 \\ 1 \\ 1 \end{matrix} \right] u, \quad y = \left[ \begin{matrix} \frac{1}{6} & -\frac{2}{3} & \frac{3}{2} \end{matrix} \right] x \)
Answer: F
A list of length n is equally divided into n/k segments. Each segment has a length of k. There is no reverse order for elements between different segments. The worst-case complexity for insertion sort on this list is:

Options:
A. $O(n^2/k^4)$
B. $O(n^2/k^2)$
C. $O(n^2)$
D. $O(n^2/k^3)$
E. $O(n^2/k^2 + n)$
F. $O(nk)$
G. $O(n^2k)$
H. $O(n^2/k)$
I. $O(n^2/k + n)$
J. $O(n^2/k + nk)$
Answer: F
In a certain county, the government carried out land requisition and demolition with a low compensation standard. Zhang refused to demolish his house because he disagreed with the compensation standard. For this reason, the county government ordered the middle school where Zhang's son studies not to handle his new semester registration procedures and notified the finance bureau to terminate the labor contract between Li (a worker at the finance bureau and Zhang's son-in-law) and the bureau. Zhang was eventually forced to sign the demolition agreement. In this case, regarding the rights of citizens that have been violated, which of the following options is correct?

Options:
A. Zhang's right to personal freedom
B. Zhang's right to freedom of contract
C. Zhang's son-in-law's right to work
D. Zhang's right to inviolability of his home
E. Zhang's right to freedom of association
F. Zhang's right to equal protection under the law
G. Zhang's son's right to education
H. Zhang's right to due process
I. Zhang's right to freedom of expression
J. Zhang's property right
Answer: J
"If you care about quality, please respect its price. If you want it to be cheap, please accept its flaws." Analyze the logical method contained in this judgment.

Options:
A. Complex destructive form of a dilemma.
B. Complex constructive form of a conditional.
C. Simple constructive form of a dilemma.
D. Simple destructive form of a dilemma.
E. Simple constructive form of a conditional.
F. Simple destructive form of a conditional.
G. Complex constructive form of a dilemma.
H. Complex destructive form of a conditional.
Answer: G
A 31-year-old female patient has had three pregnancies over the past three years, all of which ended in miscarriage before 3 months. She also experiences decreased hearing, clear and thin vaginal discharge, lower back pain, a pale tongue with white coating, and weak pulse. The clinical significance of these symptoms is ( )

Options:
A. Kidney Yang Deficiency
B. Spleen and Kidney Yang Deficiency
C. Kidney Qi Deficiency
D. Kidney Yang and Qi Deficiency
E. Insufficient Kidney Essence
F. Kidney Qi and Essence Deficiency
G. Kidney Qi and Blood Deficiency
H. Kidney Qi and Yang Deficiency
I. Spleen Qi Sinking
J. Kidney Yin Deficiency
Answer: C
Computer image enlargement will cause distortion, the essential reason is ( )

Options:
A. the pixel points are too large
B. the pixel spacing is too large
C. the pixel points are not consistent in size
D. the pixel points are not dense enough
E. the pixel points are not precise enough
F. the pixel points are not uniformly distributed
G. compressed format is used
H. the pixel points are too small
I. pixel points are used to describe computer images
J. the pixel points are not aligned correctly
Answer: I
The root of the vitality of Marxism lies in?

Options:
A. the unity of scientific nature and revolutionary nature based on dialectical materialism
B. the unity of materialist conception and revolutionary nature based on practice
C. the unity of scientific nature and revolutionary nature based on materialist conception of history
D. the unity of scientific nature and class nature
E. based on materialist conception of history and the theory of surplus value
F. the unity of scientific nature and revolutionary nature based on practice
G. the unity of materialism and dialectics
H. the unity of scientific nature and revolutionary nature based on dialectics
I. the unity of scientific nature and revolutionary nature based on materialism
J. the unity of materialist conception and revolutionary nature based on dialectics
Answer: F
In Baudrillard's view, the commodity value manifested in contemporary consumption behavior is:

Options:
A. symbolic value
B. representational value
C. social value
D. aesthetic value
E. intrinsic value
F. use value
G. semiotic value
H. surplus value
I. exchange value
J. cultural value
Answer: A
Let \( F(x) \) be the distribution function of the random variable \( X \), then which of the following conclusions is correct?

Options:
A. \( F(x) = P\{X > x\} \)
B. \( F(x) = P\{X \le x\} \)
C. \( 0 \le F(x) \le 2 \)
D. \( F(x) = P\{X < x\} \)
E. \( F(-\infty) = 1 \)
F. \( 0 \le F(x) < 1 \)
G. \( 0 < F(x) \le 1 \)
H. \( F(x) > 1 \)
I. \( 0 \le F(x) \le 1 \)
J. \( 0 < F(x) < 1 \)
Answer: I
Regarding the mechanism of ATP synthesis, which of the following statements is correct?

Options:
A. The F1 unit has ADP synthase activity
B. F1 provides the transmembrane proton channel
C. The backflow of protons against the concentration gradient drives ATP synthesis
D. The F1 unit has ADPase activity
E. The F1 unit has ATPase and ATP synthase activity
F. The conformation of subunit b remains unchanged
G. The F1 unit has ATPase activity
H. The F1 unit has ATP synthase activity
I. The F1 unit has ATPase and ADP synthase activity
J. The function of Fo is only to anchor F1 to the mitochondrial inner membrane
Answer: H
If a bacteriophage is labeled with 15N, 32P, and 35S, and then it infects bacteria, the radioactive elements that can be found in the components of the progeny bacteriophages are

Options:
A. 15N can be found in the capsid
B. 15N and 32P can be found in the capsid and 35S in the DNA
C. 15N and 32P, 35S can be found in the DNA
D. 15N and 35S can be found in the capsid
E. 15N can be found in the DNA and 35S in the capsid
F. 15N and 32P can be found in the DNA
G. 15N and 35S can be found in the DNA
H. 15N and 32P can be found in the capsid
Answer: F
Find the volume of the region bounded by \((\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2})^2=ax (a,b,c>0)\).

Options:
A. \(\frac{1}{3}\pi a^2b^2c^2 \)
B. \(rac{1}{3}\pi ab^2c^2\)
C. \(rac{1}{3}\pi ab^3c^3\)
D. \(\frac{1}{3}\pi a^3bc\)
E. \(\frac{1}{3}\pi a^2b^2c \)
F. \(\frac{1}{3}\pi a^3b^2c \)
G. \(\frac{1}{3}\pi a^2b^3c \)
H. \(\frac{1}{3}\pi ab^2c^3\)
I. \(rac{1}{3}\pi abc\)
J. \(\frac{1}{3}\pi a^2bc^2\)
Answer: D
The general solution of the differential equation (y''-3y'+2y=xe^{2x}) is ( ).

Options:
A. y=C_1e^x+C_2e^{2x}+x(\\frac{1}{2}x+\\frac{1}{4})e^{2x}
B. y=C_1e^x+C_2e^{2x}+x(\\frac{1}{2}x+1)e^{2x}
C. y=C_1e^x+C_2e^{2x}+x(\\frac{1}{2}x+1)
D. y=C_1e^x+C_2e^{2x}+x(\\frac{1}{2}x-1)e^{2x}
E. y=C_1e^x+C_2e^{2x}+x(\\frac{1}{2}x-\\frac{3}{2})e^{2x}
F. y=C_1e^x+C_2e^{2x}+x(\\frac{1}{2}x+\\frac{1}{2})e^{2x}
G. y=C_1e^x+C_2e^{2x}+x(\frac{1}{2}x-1)
H. y=C_1e^x+C_2e^{2x}+x(\\frac{1}{2}x-\\frac{1}{2})e^{2x}
I. y=C_1e^x+C_2e^{2x}+xe^{2x}
J. y=C_1e^x+C_2e^{2x}+(\frac{1}{2}x-1)e^{2x}
Answer: D
The ruling status of the Communist Party of China (CPC) has been gradually formed through long-term revolutionary struggles, is the inevitable result of the development of modern and contemporary Chinese history, and is the outcome of the people's support and choice. The great victory led by the CPC for the Chinese people ( )

Options:
A. has enabled scientific socialism to rejuvenate with new vitality in the 19th and 20th centuries
B. has enabled Chinese civilization to rejuvenate with new vitality in the process of modernization
C. has enabled scientific socialism to rejuvenate with new vitality in the 20th and 21st centuries
D. has enabled scientific socialism to rejuvenate with new vitality in the 21st century
E. has enabled scientific socialism to rejuvenate with new vitality in the 20th and 22nd centuries
F. has enabled scientific socialism to rejuvenate with new vitality in the 22nd century
G. has enabled scientific socialism to rejuvenate with new vitality in the 20th century
H. has enabled the Chinese nation to rejuvenate with new vitality in the 21st century
I. has rejuvenated the Chinese nation with new vitality
J. has enabled the Chinese nation with over 5,000 years of civilization to fully advance towards modernization
Answer: D
All the anti-aggression wars in modern China ended in failure. Reflecting on the reasons within modern China, the main reasons are ( )

Options:
A. inadequate political and institutional reforms
B. weak military strength
C. corruption of the social system
D. inadequate leadership and strategic planning
E. inadequate military training and discipline
F. inadequate military technology and equipment
G. lack of international support
H. weak economic strength
I. the influence of foreign ideologies
J. the superiority of traditional culture
Answer: C
If $\hat{\sigma}^{2}$ is an unbiased estimator of $\sigma^{2}$, then $k=$

Options:
A. \\frac{1}{2(n-5)}
B. $\frac{1}{2(n-2)}$
C. $\\frac{1}{2(n-1)}$
D. $\\frac{1}{2(n-6)}$
E. $\frac{1}{2(n+1)}$
F. $\frac{1}{2n}$
G. $\\frac{1}{2(n+2)}$
H. $\frac{1}{2(n-3)}$
I. $\frac{1}{2(n-4)}$
J. $\frac{1}{n}$
Answer: C
For ({x_0} = 0), (mathop {lim }limits_{x to {x_0}} f(x) = left{ {matrix{ { { 1 over {1 + {e^ { { 1 over x}}}}}quad ,x ne 0} cr {0quad ,x = 0} cr } } right.), which of the following options is satisfied?

Options:
A. (f(x)) is left-continuous but not right-continuous at ({x_0}) and has a removable discontinuity at ({x_0})
B. (f(x)) is left-continuous and right-continuous but not continuous at ({x_0})
C. (f(x)) is left-continuous but not right-continuous at ({x_0}) and has a jump discontinuity at ({x_0})
D. (f(x)) is left-continuous but has a jump discontinuity at ({x_0})
E. (f(x)) is left-continuous and right-continuous at ({x_0}) but not continuous at ({x_0})
F. (f(x)) is neither right-continuous nor left-continuous at ({x_0})
G. (f(x)) is right-continuous but not left-continuous at ({x_0})
H. (f(x)) is continuous at ({x_0})
I. (f(x)) is right-continuous and has a jump discontinuity at ({x_0})
J. (f(x)) is left-continuous but not right-continuous at ({x_0})
Answer: G
The condition for the separation of the longitudinal and lateral-directional equations of the small disturbance equation is

Options:
A. the reference motion aligns with the aircraft's longitudinal axis, the vertical plane, and partially with the symmetry plane
B. the reference motion aligns with the aircraft's longitudinal axis and the symmetry plane, but not necessarily the vertical plane
C. the reference motion aligns with the aircraft's longitudinal axis and the vertical plane, but not necessarily the symmetry plane
D. In the reference motion, the symmetry plane, the vertical plane, and the motion plane of the aircraft coincide
E. the aircraft is completely symmetrical left and right
F. the reference motion aligns with the aircraft's longitudinal axis, the vertical plane, and the symmetry plane, but not necessarily with the motion plane
G. the reference motion aligns with the aircraft's longitudinal axis, but not necessarily with the vertical plane or the symmetry plane
H. the aircraft is a rigid body
I. the reference motion aligns with the aircraft's longitudinal axis, the vertical plane, and the motion plane, but not necessarily the symmetry plane
J. the small disturbance assumption
Answer: D
The Fourier transform of the signal $\frac{1}{t}$ is $F(w)$. Then $F(w)=$

Options:
A. $j[2\pi\delta(t)-\pi]$
B. $j[2\pi u(-t)-\pi]$
C. $j[2\pi u(t)-2\pi]$
D. $2\pi u(t)-\pi$
E. $j[2\pi u(t)+\pi]$
F. $j[2\pi u(t)-\pi]$
G. $2\pi\delta(-t)$
Answer: B
What is the treatment principle during the febrile phase of Hemorrhagic Fever with Renal Syndrome?

Options:
A. Antiviral
B. Control hypertension
C. Prevent DIC
D. Prevent infection
E. Prevent secondary infections
F. Reduce exudation
G. Prevent renal failure
H. Anti-shock treatment
I. Prevent bleeding
J. Improve toxic symptoms
Answer: A
The ECG shows absolutely regular R-R intervals, frequency 220 times/min, QRS complex duration <0.1s, consider:

Options:
A. Ventricular Tachycardia
B. Atrial Tachycardia with 1:1 AV Conduction and 2:1 AV Conduction
C. Atrial Tachycardia with 1:1 AV Conduction
D. Atrial Tachycardia with 1:2 AV Conduction
E. Atrial Tachycardia with 2:1 AV Conduction
F. Supraventricular Tachycardia
G. Atrial Fibrillation
H. Sinus Tachycardia
I. Atrial Tachycardia
J. Atrial Flutter
Answer: F
The minimum value of the function \( f(x) = \begin{cases} \frac{x^2}{4} + \frac{x}{2} - \frac{15}{4}, & x < 0 \\ x^3 - 6x^2 + 8x, & x \ge 0 \end{cases} \) on \( (-\infty, +\infty) \) is ( ).

Options:
A. -2
B. -3.5
C. -4
D. 1
E. 4
F. -4.5
G. -5
H. -4.25
I. -1
J. -3
Answer: C
Consider a call option on a non-dividend-paying stock. Assume the stock price is $49, the option strike price is $50, the risk-free rate is 5% per annum, the annual volatility of the stock price is 20%, the option maturity is 20 weeks (0.3846 years), and the expected return on the stock is 13% per annum. The Delta of the option is:

Options:
A. 0.525
B. 0.520
C. 0.500
D. 0.510
E. 0.522
F. 0.535
G. 0.540
H. 0.480
I. 0.528
J. 0.515
Answer: E
"The Book of Han: Food and Goods" records: 'In the first month of spring, when people who live in groups are about to disperse, the envoy shakes a wooden bell and travels along the roads to collect poems, which are then submitted to the Grand Music Master to be set to music and presented to the Son of Heaven. Therefore, it is said that the king can know the state of the world without leaving his palace.' This material illustrates the process of the compilation of the Book of Songs ( ).

Options:
A. Collection Theory
B. Compilation and Gathering Theory
C. Deletion Theory
D. Compilation and Collection Theory
E. Compilation Theory
F. Music Standardization Theory
G. Submission and Collection Theory
H. Compilation and Submission Theory
I. Gathering Theory
J. Submission Theory
Answer: A
Let S be the surface $z={{x}^{2}}+{{y}^{2}} (z \le 1)$, then $\iint\limits_{S}{\left| y\sqrt{z} \right| }\text{d}S$=

Options:
A. $\\frac{25\\sqrt{5}-1}{45}$
B. \\frac{25\\sqrt{5}-1}{10}
C. $\\frac{25\\sqrt{5}+1}{45}$
D. $\\frac{25\\sqrt{5}-1}{25}$
E. $\frac{25\sqrt{5}-1}{30}$
F. \\frac{25\\sqrt{5}-1}{20}
G. $\\frac{25\\sqrt{5}+1}{30}$
H. $\frac{25\sqrt{5}+1}{15}$
I. $\frac{25\sqrt{5}-1}{15}$
J. $\\frac{25\\sqrt{5}-1}{40}$
Answer: G
For ({x_0} = 1), (mathop {lim }limits_{x to {x_0}} f(x) = left{ {matrix{ {xquad ,0 &lt; x &lt; 1} cr {0.5quad ,x = 1} cr {1quad ,1 &lt; x &lt; 2} cr } } right.), which of the following options is satisfied?

Options:
A. (f(x)) is left-continuous and right-continuous at ({x_0}) but not continuous at ({x_0})
B. (f(x)) is continuous at ({x_0})
C. (f(x)) is right-continuous but not left-continuous at ({x_0})
D. (f(x)) is left-continuous but not right-continuous at ({x_0}) and has a jump discontinuity at ({x_0})
E. (f(x)) is right-continuous but not left-continuous at ({x_0}) and has a removable discontinuity at ({x_0})
F. (f(x)) is left-continuous but not right-continuous at ({x_0}) and has a removable discontinuity at ({x_0})
G. (f(x)) is left-continuous but not right-continuous at ({x_0})
H. (f(x)) is left-continuous and right-continuous at ({x_0}) but has a removable discontinuity at ({x_0})
I. (f(x)) is right-continuous and left-continuous at ({x_0}) but not continuous at ({x_0})
J. (f(x)) is neither left-continuous nor right-continuous at ({x_0})
Answer: J
The compound that produces 2 signals in the range of δ0~70 in the 13CNMR spectrum and 2 signals in the range of δ0~5 in the 1HNMR spectrum (the downfield signal is a triplet) is ( )

Options:
A. 1,2-dichloropropane
B. 1,1,2-trichloropropane
C. 1,2,3-trichloropropane
D. 1,3-dichloropropane
E. 1,2,2-trichloropropane
F. 1,1,2,2-tetrachloropropane
G. 1,1-dichloropropane
H. 1,1,3-trichloropropane
I. 2,2-dichloropropane
J. 1,1,2,3-tetrachloropropane
Answer: D
Who said, 'Gunpowder blew the chivalry to atoms, the compass opened up the world market and established colonies, and the printing press became the tool of the Reformation, in general, the means of the scientific renaissance, the most powerful lever for creating the necessary prerequisites for mental development?'

Options:
A. Deng Xiaoping
B. Engels
C. Marx
D. Mao Zedong
Answer: C
A 10-year-old boy was admitted to the hospital due to "edema, oliguria, and darkened urine for one week, accompanied by irritability and dyspnea for one day." Physical examination: temperature 36.6°C, blood pressure 150/100 mmHg, sitting up to breathe, slightly cyanotic lips, heart rate 110 beats per minute, few fine moist rales at the lung bases, liver 2.5 cm below the costal margin, hemoglobin 108 g/L, white blood cells normal. Urine protein (++), red blood cells 20-30/HP, white blood cells 0-2/HP. Blood urea nitrogen 5.8 mmol/L, blood cholesterol 5.2 mmol/L. The diagnosis to consider is:

Options:
A. Viral nephritis with pneumonia
B. Acute glomerulonephritis with cardiac failure
C. Nephrotic nephritis with pneumonia
D. Acute glomerulonephritis, circulatory congestion
E. Acute glomerulonephritis with hypertensive encephalopathy
F. Acute exacerbation of chronic nephritis
G. Acute glomerulonephritis with renal failure
H. Acute glomerulonephritis with mild pulmonary edema
I. Acute glomerulonephritis with pneumonia
J. Acute glomerulonephritis with pulmonary edema
Answer: D
When two test systems are interconnected and energy exchange occurs, the physical parameters at the system connection point will change. The two systems will no longer simply retain their original transfer functions but will together form a new transfer function of an integrated system. This phenomenon is called the ( ) of the test system.

Options:
A. Resonance
B. Load Effect
C. Interaction Effect
D. Power Coupling
E. Power Effect
F. Cascade Coupling
G. Coupling Effect
H. Fence Effect
I. Power Interaction
J. Interference Effect
Answer: B
Given that (beta_{1},beta_{2}) are two different solutions of the non-homogeneous linear equation system (Ax=b), and (alpha_{1},alpha_{2}) are the fundamental solution system of the corresponding equation system (Ax=0), (k_{1},k_{2}) are any constants, then ( ) must be the general solution of the equation system (Ax=b).

Options:
A. (k_{1}alpha_{1}+k_{2}(alpha_{1}-alpha_{2})+frac{1}{2}(beta_{1}-2beta_{2}))
B. (k_{1}alpha_{1}+k_{2}(alpha_{1}+alpha_{2})+frac{1}{2}(beta_{1}+2beta_{2}))
C. (k_{1}alpha_{1}+k_{2}(alpha_{1}-alpha_{2})+frac{1}{2}(beta_{1}+3beta_{2}))
D. (k_{1}alpha_{1}+k_{2}(alpha_{1}+alpha_{2})+frac{1}{2}(beta_{1}-beta_{2}))
E. (k_{1}alpha_{1}+k_{2}(beta_{1}+beta_{2})+frac{1}{2}(beta_{1}+beta_{2}))
F. (k_{1}alpha_{1}+k_{2}(alpha_{1}-alpha_{2})+frac{1}{2}(beta_{1}-beta_{2}))
G. (k_{1}alpha_{1}+k_{2}(alpha_{1}+alpha_{2})+frac{1}{2}(beta_{1}-3beta_{2}))
H. (k_{1}alpha_{1}+k_{2}(alpha_{1}-alpha_{2})+frac{1}{2}(beta_{1}+beta_{2}))
I. (k_{1}alpha_{1}+k_{2}(beta_{1}+beta_{2})+frac{1}{2}(beta_{1}-beta_{2}))
J. (k_{1}alpha_{1}+k_{2}(alpha_{1}+alpha_{2})+frac{1}{2}(beta_{1}+beta_{2}))
Answer: H
The area enclosed by the parabola \( y^2 = 2px \) and the normal line at the point \(\left(\frac{p}{2}, p\right)\) is \( \) .

Options:
A. \(\frac{12}{3} p^2\)
B. \(\frac{20}{3} p^2\)
C. \(\frac{14}{3} p^2\)
D. \(\frac{32}{9} p^2\)
E. \(\frac{18}{3} p^2\)
F. \(\frac{16}{3} p^2\)
G. \(rac{4}{3} p^2\)
H. \(\frac{24}{3} p^2\)
I. \(rac{32}{3} p^2\)
J. \(rac{8}{3} p^2\)
Answer: F
In 'The Injustice to Dou E', the fundamental reason for Dou E's tragedy is ( )

Options:
A. the lack of social and legal support for women
B. the societal and legal neglect of moral values
C. the cruel exploitation of usury
D. the corruption and injustice of officials like Tao Wu
E. the darkness and corruption of society
F. the widespread poverty and economic hardship
G. the systemic failures in societal and legal structures
H. the societal and legal neglect of moral and ethical standards
I. the societal and legal indifference to individual suffering
Answer: E
In chips, power lines and ground lines are typically routed in a crisscross grid pattern to reduce IR drop, the principle behind this is ()

Options:
A. it can reduce the parasitic inductance and resistance of power/ground lines in various parts of the circuit
B. it can reduce the parasitic resistance of power/ground lines in various parts of the circuit
C. it can reduce the parasitic capacitance of power/ground lines in various parts of the circuit
D. increase the capacitance to ground of the wires, filtering out voltage fluctuations
E. it can make the parasitic resistance of power/ground lines equal across the chip
F. it can increase the parasitic capacitance of power/ground lines in various parts of the circuit
G. it can increase the parasitic resistance of power/ground lines in various parts of the circuit
H. it can reduce the current flowing through the power/ground lines
I. it can reduce the parasitic resistance and capacitance of power/ground lines in various parts of the circuit
J. it can reduce the parasitic inductance of power/ground lines in various parts of the circuit
Answer: B
Calculate the value of $int_{0}^{2}{frac{{{(x-1)}^{2}}+1}{{{(x-1)}^{2}}+{{x}^{2}}{{(x-2)}^{2}}}}dx$. (Hint: Use $arctan x$ to find the antiderivative of the integrand)

Options:
A. 2$pi$
B. 2$pi$ - 1
C. $\\frac{\\pi}{4}$
D. Not integrable
E. $pi$
F. 0
G. $\\frac{3\\pi}{2}$
H. $\\frac{3\\pi}{4}$
I. $\frac{\pi}{2}$
J. 2
Answer: E
Assuming the optimization functions are F and G, for any two points x and y on the Pareto Front:

Options:
A. F(x)=F(y) and G(x)=G(y)
B. If F(x) is less than F(y), then G(x) is greater than G(y)
C. If F(x) is less than F(y), then G(x) is equal to G(y)
D. If F(x) is greater than F(y), then G(x) is less than G(y)
E. If F(x) is less than F(y), then G(x) is less than G(y)
F. If F(x) is less than F(y), then G(x) is less than or equal to G(y)
G. If F(x) is less than F(y), then G(x) is greater than or equal to G(y)
H. If F(x) is less than F(y), then G(x)=G(y)
I. If F(x) is greater than F(y), then G(x) is greater than or equal to G(y)
J. If F(x) is less than F(y), then G(x) is equal to or greater than G(y)
Answer: B
The inflection points of the curve ( y = 3{x^4} - 4{x^3} + 1 ) are ( ).

Options:
A. (1, 11/27) and (2/3, 0)
B. (1, 11/27) and (2/3, -1/27)
C. (11/27, 2/3) and (1, 0)
D. (2/3, -11/27) and (0, 1)
E. (1, 11/27) and (2/3, 1)
F. (2/3, -11/27) and (1, 0)
G. (2/3, 11/27) and (1, 0)
H. (11/27, 2/3) and (0, 1)
I. (1, 11/27) and (0, 2/3)
J. (2/3, 11/27) and (0, 1)
Answer: J
Which of the following improper integrals is convergent?

Options:
A. \\( \\int_0^{ + \\infty } { { 1 \\over {1 + {x^4}}}dx} \\)
B. \int_0^{ + \infty } { { 1 \over {1 + {x^4}}}dx}
C. \int_0^{ + \infty } { { 1 \over {1 + {x^1}}}dx}
D. \( \int_0^{ + \infty } { { 1 \over {1 + {x^3}}}dx} \)
E. \( \int_{ - {\pi \over 4}}^ { { \pi \over 4}} { { 1 \over { { {sin }^2}x}}dx} \)
F. \( \int_0^1 { { 1 \over { { x^2}}}dx} \)
G. \int_0^{ + \infty } { { 1 \over {1 + {x^3}}}dx}
H. \( \int_0^{ + \infty } { { e^x}dx} \)
I. \(\int_0^{ + \infty } { { 1 \over {1 + {x^3}}}dx} \)
J. \( \int_0^{ + \infty } { { 1 \over {1 + {x^2}}}dx} \)
Answer: J
Given the function \( f(x) = [x] + [-x] \), then \( x = 0 \) is a

Options:
A. essential discontinuity
B. second type discontinuity
C. jump discontinuity
D. removable discontinuity
E. continuity point
F. first type discontinuity
Answer: D
Regarding the mechanism of action of botulinum toxin, which of the following is correct?

Options:
A. increases the excitability of the autonomic nervous system
B. inhibits the synthesis and release of acetylcholine
C. inhibits the reuptake of acetylcholine
D. blocks the release of acetylcholine
E. inhibits the release of acetylcholine
F. inhibits the release and reuptake of acetylcholine
G. inhibits the synthesis of acetylcholine
H. releases inhibitory neurotransmitters
I. increases the excitability of cranial nerves and peripheral nerves
J. paralyzes the autonomic nervous system
Answer: D
According to Born's statistical interpretation, the wave function (varPsi(vec{r},t))

Options:
A. has the same physical meaning as classical waves.
B. represents the probability wave of a particle, but (|varPsi(vec{r},t)|) can be measured.
C. represents the probability wave of a particle, but (varPsi(vec{r},t)) cannot be measured.
D. represents the probability wave of a particle, but (|varPsi(vec{r},t)|^2) can be measured.
E. represents the probability wave of a particle, but (|varPsi(vec{r},t)|^2) cannot be measured.
F. represents the probability wave of a particle, but (|varPsi(vec{r},t)|) cannot be measured.
G. represents the wave distribution function formed due to the interaction between particles.
H. represents the probability wave of a particle, but (sqrt{varPsi(vec{r},t)}) can be measured.
I. represents the probability wave of a particle, but (varPsi(vec{r},t)) can be measured.
J. represents the probability wave of a particle, but (varPsi(vec{r},t)^2) can be measured.
Answer: C