微積分
極限、導関数、最適化、関数挙動。
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given the function $f(x)=e^{x + 1}$, write an expression that represent…
$\lim_{h ightarrow0}\frac{e^{x+h + 1}-e^{x + 1}}{h}$
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question for the function $f(x)=x^{2}+11$, find the equation of the tan…
$y = 10x-14$
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for the function $f(x)=2x^{2}-11x - 2$, find the equation of the tangen…
$y=-15x - 4$
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question 2 the term adverse condition refers to any weather event that …
D. Limited visibility and/or poor traction
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question 19 of 25 what is the maximum number of relative extrema contai…
4
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let (h(x)=f(x)g(x)). if (f(x)=4x^{2}-3x) and (g(x)=ln(3x - 1)), what is…
$h^{\prime}(x)=(8x - 3)\ln(3x - 1)+\frac{12x^{2}-9x}{3x - 1}$ (corresponding to the fourth option in the multiple - choice list)
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question let h(x)=f(x)g(x). if f(x)=-2x^2 + 2x + 3 and g(x)=-x^2 - 3x -…
$-11$
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question let h(x)=f(x)g(x). if f(x)=3x^2 - x - 4 and g(x)=-x^2 + 2, wha…
-7
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the given function f(x) is defined on the interval (-9, 9) and represen…
\(x=-5,x = 5\)
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question suppose h(x)=f(g(x)). given the table of values below, determi…
-20
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question suppose $h(x)=f(g(x))$. given the table of values below, deter…
-40
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question let $h(x)=f(g(x))$. if $g(3)= - 4,g(3)=5,f(-4)= - 6,$ and $f(-…
20
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the given function f(x) is defined on the interval −9, 9 and represente…
\(-9\)
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question suppose $h(x)=f(g(x))$. given the table of values below, deter…
25
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question if $q(x)=ln(6x^{2}+2x + 2)$, find $q(x)$. select the correct a…
The correct answer is $\frac{12x + 2}{6x^{2}+2x + 2}$ (none of the given options are correct based on the above - derived result). If we simplify $\frac{12x + 2}{6x^{2}+2x + 2}=\f…
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question 2 of 10 what is the maximum number of possible extreme values …
B. 2
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question to the nearest tenth, what is $f(k)$ if $f(x)=0.09e^{x}ln(x)$ …
$591.5$
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inspections and certifications. after spending time working for a large…
C. exist in a wide range of sizes, earnings and regulatory obligations
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21. if a crash is unavoidable, what is a better option than colliding w…
21. C. Swerving off the road 22. B. Count backwards from 80 to 60 23. B. Low beam headlights 24. A. Maintain your speed and position 25. B. To watch for and protect pedestrians
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refer to the graph of f shown below. the xy - coordinate plane is given…
$(2,4)\cup(5,7)$
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a function is given. f(t) = 6t^2 + t; t = 3, t = 5 (a) determine the ne…
(a) 98 (b) 49
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(a) a function value f(a) is a local maximum value of f if f(a) is the …
(a) largest; \(5\); \(2\); \(4\); \(5\) (b) smallest; \(2\); \(3\)
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refer to the graph of f shown below. (a) a function value f(a) is a loc…
(a) Local maximum value: 3, \(x = 2\) (b) Local minimum value: 1, \(x = 4\)
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set up the integral to find the area of the shaded region in terms of (…
(a) $\int_{0}^{1}(e^{x}-x^{5})dx$ (b) $\int_{0}^{1}y^{\frac{1}{5}}dy+\int_{1}^{e}\ln ydy$
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evelyn was given a box of assorted chocolates for her birthday. each ni…
Equation: $C=-2t + 30$ $y$-intercept: 30 Interpretation: The initial number of chocolates in the box on Evelyn's birthday is 30.
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consider the definite integral $int\frac{f(x)}{sqrt{g(x)}}dx$ where $f(…
(a) $\sqrt{g(x)}=\sqrt{16-(x + 1)^{2}}$ (b) $-\sqrt{16-(x + 1)^{2}}-\arcsin(\frac{x + 1}{4})+C$
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question 7 evaluate ∫a²b³dx where a = sin(f(x)), b = cos(g(x)), and f(x…
$\frac{\sin^{3}(6x)}{18}-\frac{\sin^{5}(6x)}{30}+C$
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between 1900 and 1915, more than 15 million immigrants entered the us, …
**What are immigration quotas?** Immigration quotas are numerical limits set by a country on the number of immigrants who can enter from a particular region or country within a sp…
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fill in the blanks in the following sentence with the words derivative …
f is the derivative of F and F is an antiderivative of f.
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determine the following indefinite integral. int \frac{40t^{8}-7}{t}dt …
$5t^{8}-7\ln|t|+C$
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determine the following indefinite integral. check your work by differe…
$\frac{8}{9}\arctan(z)+C$
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determine the following indefinite integral. \\(\\int(-7\\sec x\\tan x …
$-7\sec x-9\tan x + C$
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determine the following indefinite integral. check your work by differe…
$\tan x + 2x+C$
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determine the following indefinite integral. int\frac{4x^{7}+6x^{5}}{x^…
$x^{4}+3x^{2}+C$
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determine the following indefinite integral int\frac{4x^{7}+6x^{5}}{x^{…
$x^{4}+3x^{2}+C$
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determine the following indefinite integral. check your work by differe…
$\frac{5}{8}r^{\frac{8}{5}}+C$
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determine the following indefinite integral. check your work by differe…
$\frac{11}{3}x^{\frac{12}{11}}+C$
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what did indias approach to limiting population growth focus on in the …
Permanent birth control through sterilization
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determine the following indefinite integral. int 5m(12m^{3}-5m)dm int 5…
$12m^{5}-\frac{25}{3}m^{3}+C$
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the government of japan has responded to its aging population by encour…
encouraging women to both work and raise children
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determine the following indefinite integral. int(7s + 4)^{2}ds int(7s +…
$\frac{49s^{3}}{3}+28s^{2}+16s + C$
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determine the following indefinite integral. check your work by differe…
$\frac{1}{3}x^{6}-\frac{1}{3}x^{15}+C$
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find all the antiderivatives for the following function f(y)=-\\frac{12…
$\frac{1}{y^{12}}+C$
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find all antiderivatives for the following function. f(x)=7 sec²x the a…
$7\tan x + C$
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find the absolute maximum and absolute minimum values of the function f…
Absolute maximum = $72$ Absolute minimum = $-\frac{139}{256}$ ### (B) Interval $[1,8]$ - $f(1)=72$. - $f(2.75)=-\frac{139}{256}$. - $f(5)=(5 - 2)(5 - 5)^3+8 = 8$. - $f(8)=(8 - 2)(…
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find all the antiderivatives of the following function. f(x)=2 sin x - …
$-2\cos x-4x + C$
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give the antiderivatives of $\frac{1}{x}$, for $x > 0$. choose the corr…
B. $\ln x + C$, where $C$ is an arbitrary constant
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describe the set of antiderivatives of f(x) = 1, where f is the derivat…
B. $F(x)=x + C$, where $C$ is an arbitrary constant.
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find the absolute maximum and absolute minimum values of the function (…
Absolute maximum = \(72\) Absolute minimum = \(6\)
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the graph of a cosine function is shown. which two points on the midlin…
The points $(\frac{\pi}{8},1.5)$ and $(\frac{5\pi}{8},1.5)$
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(b) show that f(0)<0<f(5) and use the intermediate - value theorem to c…
Since we assumed f(x)=x - 1, f(0)=-1 and f(5)=4. (In a real - problem, you need to use the actual given function to calculate f(0) and f(5)).
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worried about going over her storage limit, cassie monitored the number…
between Tuesday and Wednesday
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consider the function f(x)=5 - 6x^2, - 5≤x≤1. the absolute maximum valu…
The absolute maximum value is $5$ and this occurs at $x = 0$. The absolute minimum value is $-145$ and this occurs at $x=-5$.
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in which point of view does the narrator describe \you\ and \your\ acti…
B. second person
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a ______ narrator can see and describe every character’s thoughts. choo…
D. third person, omniscient
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his gentle scolding, \dont tease him, miriam,\ he would say. i thought …
D. first person
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find $\frac{dy}{dx}$ for the following function. y = 5 cos x sin x $\fr…
$5\cos(2x)$
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find the derivative of the following function. y = 3 cos x+2e^x. dy/dx =
$-3\sin x + 2e^{x}$
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find the derivative of the following function. y = e^{-x} sin x dy/dx =…
$e^{-x}(\cos x - \sin x)$
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find the equation of the line tangent to the given curve at a. use a gr…
$y=\frac{1}{3}x+\frac{8}{3}$
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find the derivative of the following function. h(x) = (4x^7 + 4x)(4x^3 …
$h^\prime(x)=160x^{9}+72x^{8}+56x^{6}+64x^{3}+24x^{2}+8$
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find the derivative of the following function. g(x)=\frac{x^{5}+9x^{4}+…
$g^\prime(x)=-\frac{9}{x^{2}}-\frac{25}{x^{6}}$
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2. famous document that created the three - branches structure: slide 2…
2. The United States Constitution. 3. To prevent concentration of power and ensure checks and balances. 4. Each branch can limit the power of the other two. 5. They participate in…
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word\tdefinition\timage equality\tfair procedures and justice under the…
Equality: Fair procedures and justice under the law. Alter: To change something. Representation: Having a say in government. Taxation: The act of imposing and collecting taxes. Li…
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the function $f(x)=(6x - 1)e^{-4x}$ has one critical number. find the c…
\(x = \frac{5}{12}\)
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you need to create a legal structure for your small business. you would…
A. S - Corporation
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the function $f(x)$ is defined below. what is the end - behavior of $f(…
$\lim_{x ightarrow-\infty}f(x)=\infty$, $\lim_{x ightarrow\infty}f(x)=\infty$
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select all the intervals where f is decreasing. y = f(x) choose all ans…
C. $0 < x<1$
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use the graph of the rational function to complete the following statem…
$\infty$
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what is the best way to sustain a balanced and secure online presence o…
Regularly review your privacy settings, set screen - time limits, and take breaks from social media when needed.
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which statement best describes a commission system? a legislative body …
A legislative body oversees city departments directly.
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score on last try: 0 of 3 pts. see details for more. > next question ge…
$22$
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suppose we wish to evaluate $lim_{x ightarrow-infty}15e^{9x}cos(7x)+7$.…
$7$
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suppose we wish to evaluate $lim_{x \to 0}x^{10}sin(\frac{1}{x}) - 6$. …
$-6$
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which type of economist believes that workers generally bargain for nom…
D. Keynesian economists
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student handout: unit 1 lesson 4 plan a special event within a budget y…
$270
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6) explain how the system of checks and balances makes sure that no one…
The system of checks and balances allows each branch to limit the powers of the others. For instance, the legislative branch makes laws but the executive can veto them and the jud…
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use the graph to find: (a) the numbers, if any, at which f has a local …
(a) A. The value(s) of \(x\) at which \(f\) has a local maximum is/are \(x = 0\) (b) A. The local maxima is/are \(y = 1\)
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practice 2 drag the definitions on the right and drop them next to the …
Rule of law - Established laws apply to everyone: even a king or a government. Basic rights - All citizens are entitled to fair trials, private property, freedom of speech, etc. R…
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which sentence gives an example of a simile? select the two correct ans…
- When Andre picked up the calculus textbook, it felt like a 600 - page slab of concrete. - After the rain, the beach was as hot and humid as the inside of a pressure cooker.
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freedom of press and religion quick check which of the following best d…
to protect other members of society
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freedom of press and religion quick check how has one specific supreme …
New York Times v. Sullivan determined that actual malice must be proven to pursue charges of libel in the case of a public official.
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use the image to answer the question. which of the following most accur…
There is a relative minimum at \((4,0)\) and a relative maximum at about \((3,1)\)
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which statement describes the vertical asymptotes of the graph of f(x) …
The graph has a vertical asymptote at $x = 8$ only.
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7. a person with a negative self - concept tends to: a. be overly criti…
1. F 2. F 3. A. involves risk, B. is often avoided because of fear of a negative reaction, C. can lead to sharing between communicators, D. can help us discover more about ourselv…
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southwest region 2. describe the regions climate (weather and seasons).…
2. Arid climate with low rainfall and high seasonal temperature variations. 3. Scarce water sources; wild plants, small game for food; adobe and limited wood for building material…
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7. a freight elevator has a weight limit of 4 tons. each crate in the e…
A. The elevator can still hold 1,750 pounds.
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which is an x - intercept of the graph of the function y = cot(3x)? (π/…
\((\frac{\pi}{6},0)\)
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which of the following correctly analyzes the effect the supreme courts…
Selective incorporation has expanded the freedom of expression by forcing states to protect the freedom of speech.
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question 9 (1 point) all employees are not necessary to be trained to w…
- Question 9: B. False - Question 10: B. False - Question 11: C. Limited accessible
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question 5 of 8 (1 point) | question attempt: 1 of unlimited (a) which …
Graph C
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question 19 (1 point) the lockset, containing a microchip, provides a _…
Question 19: Key Question 20: Limited accessible
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a perimeter control system, usually buried in the ground, which registe…
Question 1: B. Seismic detector Question 2: C. Perimeter Control Question 3: C. Local Alarms
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r.d. lawrence et al. found that a recommender system (rs)—an algorithm …
D. While recommender systems cause consumers to spend more time viewing utilitarian items such as dish detergents, recommender systems' positive effect on purchase rates is likely…
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lim_{n\\to\\infty}\\frac{17(2^{n}) + 11}{13(4^{n})}
0
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what is the approximate rate of change of this function on the interval…
C. $-\frac{9}{8}$
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a_n = \\frac{9n}{\\sqrt{49n^{2}+1}} \\lim_{n\\to\\infty} a_n =
$\frac{9}{7}$
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2.1.9 quiz: southern colonies question 9 of 10 the settlement of the ca…
B. the limited availability of land in Barbados
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what is the purpose of the tenth amendment? a) to limit the powers of t…
A. to limit the powers of the central government by establishing reserved powers for states and individuals
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block grants are designed to a) fund urban improvements on a specific c…
B. give the states considerable discretion in how the money should be spent.