微积分
极限、导数、最优化与函数性质。
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let (f(x)=ln(x - 3)). which is greater: the instantaneous rate of chang…
The instantaneous rate of change of $f$ at $x = 4$ is greater.
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6. let $f(x)=ln(x - 3)$. which is greater: the instantaneous rate of ch…
The instantaneous rate of change of $f$ at $x = 4$ is greater. ### 7.
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a. popular sovereignty b. limited government c. constitutionalism d. ru…
1. a. popular sovereignty 2. c. constitutionalism 3. b. limited government 4. e. separation of powers 5. d. rule of law 6. j. federalism 7. i. unconstitutional 8. f. checks and ba…
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5. the graph of y = f(x) is given. estimate the instantaneous rate of c…
\(-2\)
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which of the following is considered a major traffic offense? a. hit an…
A. Hit and Run
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drag and drop the correct answer choice to each answer blank. or, touch…
Left - Sparta Right - Athens
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10: greek city - states like athens and sparta developed individually w…
mountainous terrain limited interaction between individual city - states
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what is true about the role of women in classical china? womens roles w…
Women were responsible for running the home and domestic chores.
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chinese leaders wanted to control government through families. constant…
Establishment of the Mandate of Heaven
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the graph of y = f(x) is given. show that the average rates of change o…
# Explanation: ## Step1: Recall average rate - of - change formula The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is given by $\frac{f(b)-f(a)}{b - …
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exam 01 - (fall 2025) 21. what problem - solving strategy is also calle…
21. c. a heuristic 22. (No question 22 in the provided text) 23. (No question 23 in the provided text) 24. a. functional fixedness 25. a. convergent 26. b. phonemes 27. a. the met…
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how did iran change under ayatollah khomeini? iran became more westerni…
C. Religious leaders created official policy.
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what is the consequence for any person convicted of violating the georg…
A. First suspension is a minimum of 6 months and the person will not be eligible for any type of limited driving permit.
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traveling carnivals usually shut down for the winter months. suppose a …
$60000$
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if you pay only the minimum payment on your credit card each month, wha…
1. B. You may stay in debt longer and pay more interest 2. B. Keep old accounts open, even if unused
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if your credit card has a $1,000 limit and you owe $800, what is your u…
c) 80%
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you just got your first credit card with a $500 limit. what is the best…
B. Make small purchases and pay them off in full every month
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(teks us.4.d) the espionage act (1917) and sedition act (1918) were cri…
Violated freedom of speech by limiting criticism of the government and the war effort
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31. govt 3f - how does the bill of rights differ from other sections of…
31. C. It primarily protects individual liberties and natural rights 32. B. To limit the national government and protect individual liberties
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traveling carnivals move from town to town, staying for a limited numbe…
4746
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language arts - english ii was master of the other mans. and why - why?…
24. D. Some individuals feel a powerful longing to learn about the world outside their homes. 25. C. "But the woman wanted another form of life than this..." (paragraph 9) 26. B. …
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understanding federalism match the terms on the left with their definit…
influential - powerful and able to control something faction - a group that strongly disagrees with another group bill of rights - a document that protects rights and limits gover…
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it is easy to write the line \people starve to death\; it is much harde…
It explains that the poor starved to death as a result of a shortage in the food supply.
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read the excerpt from \sinners in the hands of an angry god\. you will …
C. illustrate that this type of suffering is unimaginable.
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dok 1 questions (20%) 1. which type of government has a single central …
1. C. Unitary 2. B. John Locke 3. A. Magna Carta 4. B. Power is shared between a central government and regional governments. 5. A. Level of citizen participation 6. B. It emphasi…
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10. why are patents allowed while other forms of monopolies are not? 11…
10. Patents encourage innovation by giving inventors exclusive rights for a limited time to profit from their work, promoting R&D. 11. Natural monopolies result from high fixed - …
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ex 3 if f(x) = √x, find f(x) and state its domain f(x + h)= √x + h
$f'(x)=\frac{1}{2\sqrt{x}}$, domain: $(0,+\infty)$
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for which values of x is y increasing the fastest? between x = 0 and x …
between x = 1 and x = 3
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penicillin. there was little progress in using penicillin to treat huma…
C. The polio vaccine was one of the first to virtually eliminate a disease from the face of the earth.
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what was the framers main reason for creating a strong federal governme…
They wished to limit government by dividing it.
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bad bunny enjoys wearing clothing items that might be identified with m…
1. D. Bad Bunny said he questions the nature of these gender - based limitations in the reggaeton genre, and he put on full drag (clothes typically worn by the opposite gender) in…
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question let $f(x)=ln(x - 3)$. which is greater: the instantaneous rate…
The instantaneous rate of change of $f$ at $x = 4$ is greater.
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9. be able to explain similarly and the difference between indentured s…
9. Similarities: Both involve labor provision. Differences: Indentured servants had a time - limited contract and could gain freedom; slaves were property for life with no such ri…
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part b: china and the open door policy 14. who had spheres of influence…
14. Britain, France, Germany, Russia, Japan (among others) 15. No options provided to give a definite answer 16. Limited access to Chinese markets due to other countries' spheres …
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unit 3, key concept 3.2.2 objective: to understand how american politic…
- **Observations**: - The original 13 states are newly independent from Britain. - There is a large unorganized western territory. - Proximity of British - controlled areas near t…
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question 7 of 10 an animal shelter takes in an average of 5 animals per…
B. $x<27$
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question 2 of 10 jamal is comparing his transportation options for an u…
A. 19, 21, 23, 25 (open - circle at 25 and arrow pointing left since $x<26$)
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follow the step by step process to determine the difference quotient, $…
a. \(6-8x^{2}-16xh - 8h^{2}\) b. \(-16xh-8h^{2}\) c. \(-16x - 8h\)
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6. use the intermediate value theorem to show that the equation f(x) = …
The equation \(f(x)=\cos(\pi x)+\ln(x)=0\) has at least one real - solution because the function \(f(x)\) is continuous on an appropriate interval (e.g., \((1,e)\)) and \(f(x)\) t…
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5. find all values of (a,binmathbb{r}) so that the following function i…
$a = 3$, $b=\frac{1}{2}$
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23. credit card companies charge stores a 2 - 3% fee for every purchase…
23. Merchant fee 24. Only buy things that you can purchase with cash.
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19. once you turn 18, you should regularly check your credit report... …
19. For errors or signs of identity fraud 20. Charging high fees for loans and targeting desperate people
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what is the y - intercept of y = tan x? select the correct choice below…
A. The y - intercept is \(0\)
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find the first partial derivatives of the function $z=(2x + 6y)^{10}$. …
1. $\frac{\partial z}{\partial x}=20(2x + 6y)^{9}$ 2. $\frac{\partial z}{\partial y}=60(2x + 6y)^{9}$
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4. determine all x - values where the function g(x) given below has a d…
There is an infinite discontinuity at $x = 0$ and a jump discontinuity at $x = 1$.
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find the indicated partial derivatives of (f(x,y)=7x^{3}y^{2}) using th…
\(f_x(x,y)=21x^{2}y^{2}\), \(f_y(x,y)=14x^{3}y\)
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3. the graph of a function f(x) is pictured below. determine all x - va…
Discontinuities at \(x=-1\) (jump), \(x = 1\) (removable), \(x = 3\) (infinite)
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follow the step by step process to determine the difference quotient, $…
a. \(4x^{2}+8xh + 4h^{2}-3\) b. \(8xh+4h^{2}\) c. \(8x + 4h\)
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2. calculate the values of the following limits. simplify your answers …
\(1\) ### ii)
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2. drag each term to its correct definition. a the system that allows e…
checks and balances - A. the system that allows each branch of government to limit the powers of the other two branches federalism - C. the constitutional system that shares power…
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does the intermediate value theorem guarantee a value of c in the given…
40. The Intermediate - Value Theorem does not guarantee a value of \(c\) because the function \(f(x)=\frac{x^{2}-x}{x}\) is not continuous on \([-2,2]\). 41. The Intermediate - Va…
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does the intermediate value theorem guarantee a value of c in the given…
40. The Intermediate - Value Theorem does not apply because $f(x)=\frac{x^{2}-x}{x}$ is not continuous on $[-2,2]$. 41. There is no real - valued $c$ such that $f(c)=-1$ for $f(x)…
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question 2 · 1 point a population of kangaroos is growing at a rate of …
21
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complete each of the following sentences. a relative maximum occurs whe…
A relative maximum occurs when the graph of a function changes from increasing to decreasing. A relative minimum occurs when the graph of a function changes from decreasing to inc…
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use the graph below to find the information on the right. c. for what v…
d. A. The relative maximum value is 100
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follow the step by step process to determine the difference quotient, $…
a. \(4x^{2}+8xh + 4h^{2}-3\) b. \(8xh+4h^{2}\) c. \(8x + 4h\)
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b. $lim_{(x,y)\to(0,0)}\frac{4x^{2}}{1x^{2}+5y^{2}}=$
The limit does not exist.
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multiple choice 1 point. most disputes among the states occur because o…
D. air pollution and water usage
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use the graph of y = f(x) to answer the questions. complete parts a thr…
B. There are two relative maxima. The leftmost maximum value is 5, and it occurs at \(x=-6\). The rightmost maximum value is 5, and it occurs at \(x = 6\).
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determine the interval(s) on which the function is (strictly) increasin…
$[-3,0]$
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use the trapezoidal rule, the midpoint rule, and simpsons rule to appro…
(a) $2.844174$ (trapezoidal rule result as given, assuming the correct integral limits are from $2$ to $3$ as the original lower limit of $1$ gives a non - real result for the squ…
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exploring political context claudius: how dangerous is it that this man…
It shows that monarchs must worry about how the public perceives them.
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an advantage of a corporation is that (1 point) owners pay fewer taxes …
owners have limited liability for debt
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score on last try: 5 of 10 pts. see details for more. at least one scor…
$-\frac{13}{5}$
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literary / text elements satire and theme satire is a type of writing i…
1. Sarcastic and satirical. 2. Informal and casual diction, mix of short and long sentences in syntax. 3. The tendency to get frustrated and angry while driving. 4. The absurdity …
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consider a closed rectangular box with a square base with side x and he…
$\frac{dS}{dy}=20$ when $x = 5$ and $y = 8$ and the surface - area formula is $S(x,y)=2x^{2}+4xy$
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partnerships quick check what type of partnership is characterized by t…
D. limited liability partnership
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question 12 find $\frac{dy}{dx}$ where $y^{4}sin(7x)+2x^{7}-y^{8}=3$ qu…
$\frac{7y^{4}\cos(7x)+14x^{6}}{8y^{7}-4y^{3}\sin(7x)}$
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question 2 · 1 point a population of kangaroos is growing at a rate of …
21
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if (3x^{3}+2x + xy=3) and (y(3)= - 10), find (y(3)) by implicit differe…
$-\frac{73}{3}$
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find the slope of the tangent line to the curve -x^2 - 2xy - 3y^3 = 199…
$\frac{3}{73}$
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question 2 find the equation of the line tangent to the graph of $x^{3}…
$y =-\frac{55}{23}x+\frac{367}{23}$
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36 multiple choice 1 point what is the key difference between an absolu…
C. Absolute monarchs have unlimited power, while constitutional monarchs share government powers with elected legislatures.
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which point of view does the narrator use in the passage? some feeling …
B. second person
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which point of view does the narrator use in the passage? \keep those b…
A. first person
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which point of view does the narrator use in the passage? \why didnt yo…
C. third person limited
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which point of view does the narrator use in the passage? hilda, howeve…
B. second person
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which point of view does the narrator use in the passage? when dad deci…
A. first person
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which point of view does the narrator use in the passage? the womans ar…
B. second person
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alejandro recently established a maintenance company as a sole propriet…
A. Alejandro is liable for all of the damages since the owner of a sole - proprietorship does not have limited liability
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sole proprietorships quick check a sole proprietorship is distinguished…
A. only one owner
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your answer is incorrect. · all values at which f has a local minimum: …
All values at which \(f\) has a local minimum: \(0\) All local minimum values of \(f\): \(1\)
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50 a ______ is an extreme form of leading question that virtually dicta…
bipolar question
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which of the following statements is true about nonscheduled interviews…
It allows an interviewer to adapt to an interviewee and situation as the interview progresses.
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match the people, events, and systems of european exploration and colon…
Francisco Pizarro - Extracted gold/silver Vasco da Gama - Opened sea - route to India Hernán Cortés - Extracted gold/silver Japan - Limited European access Christopher Columbus - …
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guise means : the limit beyond which something happens or cha the arran…
an artful or simulated semblance
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what unique opportunity does business ownership offer? it opens up opti…
it opens up options for creative freedom
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the us government gave land to the railroads to help them expand. what …
The grants allowed industries in the West to grow because they encouraged settlement and new industrial opportunities.
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summarize the given info: the immigration and nationality act allows in…
The Immigration and Nationality Act has multiple provisions regarding immigration and naturalization. Additionally, the Bureau of Indian Affairs is selling a large amount of Nativ…
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5. what landmark supreme court case in 1857 reversed the decision from …
5. The case is Dred - Scott v. Sandford. The most affected group was enslaved African - Americans. 6. Passed in 1868. The group that gained the most was freed slaves. Women were s…
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question 4 of 10 which aspect of the mayflower compact had the most sig…
D. It gave the people the power to make laws and elect leaders.
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question 20 of 23 which sentence most clearly describes the diction of …
D. The memo uses well - chosen words, such as "restructuring," to soften the blow.
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question 1 of 10 which idea is a fundamental principle of the articles …
None of the above options are correct.
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for the function $y = f(x) = x^{2}-x + 6,xgeq0.5$, find $\frac{df^{-1}}…
\(\frac{1}{\sqrt{21}}\)
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for the function y = f(x) = 2x³ - 10: a. find $\frac{df}{dx}$ at x = 4.…
a. $96$ b. $\sqrt[3]{\frac{y + 10}{2}}$ c. $\frac{1}{96}$
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for the linear function y = f(x) = -5x - 6. a. find $\frac{df}{dx}$ at …
b. $f^{-1}(y)=-\frac{y + 6}{5}$ c. $(f^{-1})'(f(-1))=-\frac{1}{5}$
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the following is the graph of a function f(x). a. on the same axes, ske…
$\frac{1}{2}$
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question 15 a television camera at ground level is 2000 feet away from …
$0.00008$
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22. denali is the highest mountain in the united states. what is its he…
6195 ### 23. 1 cubic foot = 12 inches $\times$ 12 inches $\times$ 12 inches = 1728 cubic inches. Since 1 inch = 2.54 centimeters, then 1 cubic inch = $(2.54)^3$ cubic centimeters.…
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(1) in dealing with the state we ought to remember that its institution…
D. native