Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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fill in each blank so that the resulting statement is true. in order to…
An interval containing one period is \(-\frac{\pi}{6}<x<\frac{\pi}{6}\). Two consecutive asymptotes occur at \(x =-\frac{\pi}{6}\) and \(x=\frac{\pi}{6}\).
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find the equation of the line tangent to the graph of f at the indicate…
$y=\frac{7}{e^{3}}x + 14$
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given the function $y = \frac{4}{sqrt3{3x^{2}-3x}}$, find $\frac{dy}{dx…
$-\frac{4(2x - 1)}{(3x^{2}-3x)^{\frac{4}{3}}}$
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find the limits in a), b), and c) below for the function f(x) = \\frac{…
a) A. $\lim_{x\to8^{-}}f(x)=-\infty$ b) A. $\lim_{x\to8^{+}}f(x)=\infty$ c) B. The limit does not exist and is neither $-\infty$ nor $\infty$.
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freedom of press and religion quick check which statement best assesses…
Supreme Court decisions have consistently protected and expanded the freedom of the press.
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bringing books to people when mary lemist titcomb became the first libr…
In her quest to expand library access, Mary Titcomb designed the first mobile library.
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review the water quality report and then answer the question. salems dr…
The writer defines unfamiliar terms (ppm) and informs readers that the water is safe.
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read the water quality report and then answer the question. salems drin…
residents of Salem
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for buying products. youre hesitant about granting these permissions. w…
Review the app's privacy settings and grant only the permissions necessary for the app's function.
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limited - time discount if you fill out a quick survey asking for the b…
The website might sell your personal information to third - party advertisers.
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limiting contact with foreigners was the main goal of chinese corruptio…
B. isolationism
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what impact did the caliphs have on the spread of islam? the caliphs’ r…
D. Caliphs were able to spread Islam as far as Europe and India.
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which best describes how political action committees (pacs) enhance the…
PACs combine individuals’ donations into significant contributions.
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which statement describes an example of a limit on the power of the hou…
The president can veto its bills.
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find the average rate of change of f(x)=x^3 - 2x^2 + 3x from x = 2 to x…
$12$
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christine is driving a racecar. the table below gives the distance d(t)…
(a) 41.6 (b) 16.7
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for the function f(x) shown below, determine lim f(x) as x→1+. answer a…
$-\infty$
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the function f is shown below. determine the equations of all vertical …
three
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1. what are the 4 components that make up a state? - population - terri…
3. Best known for social contract theory, *Leviathan*, influenced powerful sovereign concept. 4. Known for natural rights theory, *Two Treatises of Government*, shaped limited gov…
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a. for the function $f(x)=-6x^{2}+6x + 7$ find $m_{sec}=$, the slope of…
a. -36.000000 b. -30.600000 c. -30.060000 B. -30
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5. $f(x)=2\\pi^{4}$ $f(x)=8\\pi^{3}$ or $f(x)=0$ 6. $f(x)=\\sqrt{\\sin^…
5. \(f'(x)=0\) 6. \(f'(x)=\frac{3\sin^{2}x\cos x}{2\sqrt{\sin^{3}x}}\) 7. \(f'(x)=-3x^{2}\sin(x^{3})\) 8. \(f'(x)=2x\cos x - x^{2}\sin x\)
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which of the following is a characteristic of an unstructured interview…
C. Common in small businesses
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4. f(x)=tan³x f(x)=3tanxsec²x or f(x)=3tan²xsec²x
$f^{\prime}(x)=3\tan^{2}x\sec^{2}x$
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how did progressive and conservative republicans feel about labor union…
Progressives advocated for labor unions, but conservatives wanted to limit their power.
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2. $f(x)=\frac{x^{3}+2x}{x^{2}}$ $f(x)=\frac{3x^{2}+2}{2x}$ or $f(x)=\f…
$f^{\prime}(x)=\frac{x^2 - 2}{x^2}$
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1. $f(x)=3x^{4}+12x + 1$ $f(x)=12x^{3}+12 + 1$ or $f(x)=12x^{3}+12$ 2. …
1. \(f^\prime(x)=12x^{3}+12\) 2. \(f^\prime(x)=\frac{3x^{2}+2}{2x}\) or \(f^\prime(x)=\frac{x^{2}-2}{x^{2}}\) 3. \(f^\prime(x)=\sec x\tan x\) 4. \(f^\prime(x)=3\tan^{2}x\sec^{2}x\…
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2. why do you think a removable discontinuity (hole) doesnt produce an …
A removable discontinuity is a single - point exclusion and not indicative of the long - term behavior required for an asymptote.
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here is a graph of the function f. use the graph to find the following.…
All local minimum values of \(f\): \(1,-2\) All values at which \(f\) has a local minimum: \(-3,3.5\)
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here is a graph of the function h. use the graph to find the following.…
All values at which \(h\) has a local maximum: \(-1,2\) All local maximum values of \(h\): \(2\)
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given $f(x)=\frac{8}{x}$, find $f(x)$ using the limit definition of the…
$-\frac{8}{x^{2}}$
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which two limits below indicate the end - behavior of the rational func…
\(\lim_{x\to+\infty}f(x)=\infty;\lim_{x\to-\infty}f(x)=-\infty\)
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given $f(x)=3 - 2x^{2}$, find $f(x)$ using the limit definition of the …
$-4x$
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for questions 20 - 21, find the intercepts and relative extrema for the…
- x - intercepts: \(x = 0\), \(x=\frac{5}{2}\), \(x=-5\) - y - intercept: \(y = 0\) - Relative maximum at \(x=\frac{-5 - 5\sqrt{7}}{6}\) - Relative minimum at \(x=\frac{-5 + 5\sqr…
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questions 20 - 21, find the intercepts and relative extrema for the gra…
x - intercepts: $x=-2, x = 1$; y - intercept: $y=\frac{1}{2}$; relative maximum: $(-1,1)$; relative minimum: $(1,0)$
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18. what did the end of the war mean for those who were previously ensl…
18. Freedom, ability to seek family and new opportunities. Example: Moving to cities for work. 19. Control labor, limit civil rights, maintain white supremacy. 20. Initially, whit…
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calculate the derivative of the following function. y=(3 - e^x)^4 dy/dx…
$-4e^{x}(3 - e^{x})^{3}$
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ap precalculus - 1.7a rational functions and end behaviors. example 1: …
The value that is not in the domain of the function is $x=-4$.
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calculate the derivative of the following function. y=(sec x + tan x)^4…
$4\sec x(\sec x+\tan x)^{4}$
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calculate the derivative of the following function. y = sin(4x^2 + 6x +…
$(8x + 6)\cos(4x^{2}+6x + 2)$
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calculate the derivative of the following function. y = tan(e^x) dy/dx …
$e^{x}\sec^{2}(e^{x})$
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calculate the derivative of the following function. y = cos(11t + 4) $\…
$-11\sin(11t + 4)$
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calculate the derivative of the following function. y = 8(6x^3 + 7)^(-6…
$-864x^{2}(6x^{3}+7)^{-7}$
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the given function (f(x)) is defined on the interval ((-9,9)) and repre…
The \(x -\)value of the local maximum is the \(x -\)coordinate of the peak point on the graph. From the graph, the \(x -\)value of the local maximum is \(x = 0\).
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given the function y = -3 sin(3√x), find dy/dx.
$-\frac{9\cos(3\sqrt{x})}{2\sqrt{x}}$
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the given function (f(x)) is defined on the interval ((-9,9)) and repre…
5
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question given the function y = 3cos(6 + 6x^3), find dy/dx. answer atte…
$-54x^{2}\sin(6 + 6x^{3})$
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calculate the derivative of the following function. y = √(7x + 15) dy/d…
$\frac{7}{2\sqrt{7x + 15}}$
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calculate the derivative of the following function. y = (4x - 19)^5 \fr…
$20(4x - 19)^{4}$
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question given the function $f(x)=-4cos(3x)$, find $f(x)$. answer attem…
$12\sin(3x)$
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question given the function f(x)=cos(4√x), find f(x). answer attempt 1 …
$-\frac{2\sin(4\sqrt{x})}{\sqrt{x}}$
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let h(x)=f(g(x)) and p(x)=g(f(x)). use the table to compute the followi…
$-\frac{16}{9}$
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for the following composite function, find an inner function u = g(x) a…
C. $u = g(x)=\frac{x}{3}$ and $y = f(u)=\sin u$, $\frac{dy}{dx}=\frac{1}{3}\cos\frac{x}{3}$
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which of the following statements best explains the relationship betwee…
The expansion of the trans - Saharan trade route allowed West African kingdoms to interact economically with Europe and Asia.
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75. y = √f(x), where f is differentiable and nonnegative at x 76. y = ⁵…
For 75: $\frac{f'(x)}{2\sqrt{f(x)}}$ For 76: $\frac{f'(x)g(x)+f(x)g'(x)}{5\sqrt[5]{(f(x)g(x))^{4}}}$
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under 1920s immigration acts, limits on immigration were introduced bas…
nationality
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for the following composite function, find an inner function u = g(x) a…
$\frac{dy}{dx}=16(2x + 9)^{7}$
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d) $\frac{d}{dx}(6 + 7t+8t^{2}) = 0$
The left - hand side $\frac{d}{dx}(6 + 7t+8t^{2}) = 0$ holds true because $6+7t + 8t^{2}$ is a constant with respect to $x$, and the derivative of a constant with respect to a var…
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your networking contact list should be limited to family members. pleas…
F
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graph two periods of the given tangent function. y = \\frac{1}{6}\\tan5…
Without seeing the actual details of the graphs A, B and C, we can describe the correct graph characteristics: It should have vertical asymptotes at $x=\frac{\pi}{10},\frac{3\pi}{…
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a rule allowing a three - fifths majority of u. s. senators to set a ti…
b. cloture
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answer attempt 1 out of 2 dne undefined since lim_{x→0^ - }f(x)= and li…
\(\lim_{x\to0^{-}}f(x)=2\), \(\lim_{x\to0^{+}}f(x)=2\), \(\lim_{x\to0}f(x)=2\), \(f(0)=2\), continuous
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why did colonists call the coercive acts the \intolerable acts\? a) the…
A. They did not think it was fair to punish all of the colonies; B. They thought the laws violated the English Bill of Rights
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ai - je bien compris? 1. soit le graphique ci - dessous. a) combien de …
1. a. La fonction est composée de 3 parties. b. Première partie : $[-2;0]$, Deuxième partie : $[0;2]$, Troisième partie : $[2;4]$. 2. a. Première partie : $[0;2]$, Deuxième partie…
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section 2.6: chain rule (homework) score: 160/170 answered: 16/17 quest…
$\frac{1+\frac{1}{2\sqrt{t}}}{2\sqrt{t+\sqrt{t}}}$
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ai - je bien compris? 1. soit le graphique ci - dessous. a) combien de …
1a. 3 parties 1b. Première partie : \([-2,0]\), Deuxième partie : \([0,2]\), Troisième partie : \([2,4]\) 2a. \(0,2,4,6,8,10,12\) minutes 2b. 4 minutes 2c. \([6,8]\) et \([10,12]\)
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section 2.6: chain rule (homework) score: 150/170 answered: 15/17 progr…
\(-7\ln9\cdot9^{-7y + 4}\)
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a product is introduced to the market. the weekly profit (in dollars) o…
$-1266.80$
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section 2.6: chain rule (homework) score: 130/170 answered: 13/17 progr…
$P^{\prime}(t)=-4148te^{-2.08 - 0.0244t^{2}}$; $P^{\prime}(3)\approx - 1256.84$ dollars/week
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section 2.6: chain rule (homework) score: 120/170 answered: 12/17 progr…
$h^{\prime}(2)$ for $h(x)=f(x)\cdot g(x)$ is $16$. $h^{\prime}(2)$ for $h(x)=\frac{f(x)}{g(x)}$ is $0$. $h^{\prime}(2)$ for $h(x)=f(g(x))$ is $8$.
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question 4 of 6, step 1 of 2 6/12 correct graph the following function:…
The third graph (the one with the shape of the tangent - function, which has vertical asymptotes and repeating U - shaped curves)
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question 4 of 6. step 1 of 2 6/12 correct graph the following function:…
The basic function is the tangent function, and its shape is a curve with vertical asymptotes at $x=(n +\frac{1}{2})\pi,n\in\mathbb{Z}$ and a period of $\pi$.
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section 2.6: chain rule (homework) score: 110/170 answered: 11/17 progr…
$\frac{36x^{3}+135x^{4}}{\sqrt{3x^{4}+9x^{5}}}$
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graph the following function: y = \\frac{3}{2}-3\\tan(x) step 1 of 2: i…
The shape of the more basic function is that of the tangent function.
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section 2.6: chain rule (homework) score: 110/170 answered: 11/17 progr…
\(\frac{(36x^{3}+135x^{4})\sqrt{3x^{4}+9x^{5}}}{3x^{4}+9x^{5}}\)
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question find the derivative of the following function. y = e^{-7x^{5}-…
$y'=-35x^{4}e^{-7x^{5}}-28x^{3}$
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question find the derivative of the following function. y = e^{-x^{4}}
$-4x^{3}e^{-x^{4}}$
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given the function $y = 2sqrt4{2x^{2}-2x}$, find $\frac{dy}{dx}$ in any…
\(\frac{2x - 1}{(2x^{2}-2x)^{\frac{3}{4}}}\)
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given the function $f(x)=(4x^{2}+3x - 7)^{-3}$, find $f(x)$ in any form…
$-\frac{3(8x + 3)}{(4x^{2}+3x - 7)^{4}}$
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given the function $f(x)=\frac{1}{sqrt3{6x^{2}+4x + 5}}$, find $f(x)$ i…
$-\frac{12x + 4}{3(6x^{2}+4x + 5)^{\frac{4}{3}}}$
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given the following function, determine the difference quotient, $\frac…
$-7$
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question 3 of 6, step 1 of 2 graph the following function: y = 4 - 2csc…
The shape of the more basic function is that of the cosecant function.
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read the passage and answer the following question. the social contract…
A. Under the social contract, people's rights are protected by law.
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if $f(x)=\frac{1}{(x + 3)^3}$, find $f(x)$ and then compute $f(-1)$. us…
$-\frac{3}{16}$
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read the passage and answer the following question. the social contract…
B. Natural rights and freedoms are replaced by civil rights and freedoms
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what is the relationship between decisions and trade - offs?
Decisions often involve trade - offs because resources are limited and choosing one option means giving up others.
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why was russias influence on the world war i peace process limited? it …
It was disinvited for dropping out of the war.
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let $f(x)=sqrt{3x^{2}+5x + 8}$ $f(x)=$ enter an algebraic expression mo…
$f^{\prime}(x)=\frac{6x + 5}{2\sqrt{3x^{2}+5x + 8}}$ $f^{\prime}(1)=\frac{11}{8}$
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how did the magna carta and the english bill of rights change governmen…
The Magna Carta limited royal power and introduced rule - of - law concepts in England. The English Bill of Rights further restricted the monarchy and protected liberties. In the …
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what impact did the english bill of rights have on the government of gr…
A. It gave Parliament more power than the king.
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how does a direct democracy differ from a representative democracy? a) …
B) The people as a whole make decisions for the community.
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a sign on the road says, \speed limit: 60 miles per hour.\ a. let s be …
a. $s\leq60$ b. Draw a number line with a closed - circle at 60 and shade to the left. c. Yes, because the inequality $s\leq60$ allows $s$ to be equal to 60.
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section 2.6: chain rule (homework) score: 70/170 answered: 7/17 progres…
$f^{\prime}(x)=-12(4x + 6)^{-4}$; $f^{\prime}(2)=-\frac{3}{9604}$
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1. a. select all numbers that are solutions to the inequality (k > 5). …
1. a. 6, 5.2, 5.01 2. a. $s\leq60$ 2. c. Yes, because the inequality is $s\leq60$ and 60 satisfies this inequality as it is equal to 60. For the number - line drawing parts (1. b …
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draw absolute minimum: absolute maximum:
Absolute minimum: $-\infty$ Absolute maximum: $- 2$
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find the value of a that makes the following function differentiable fo…
\(-9\)
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the curve y = ax^2 + bx + c passes through the point (1,9) and is tange…
$a = 5$, $b = 4$, $c = 0$
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(c) find f(0). 9. (8 points) find an equation of the line that is tange…
$y = 3x + 5$
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find the derivative of the function. y = 7e^{-x}+e^{3x} \\frac{dy}{dx}=…
$-7e^{-x}+3e^{3x}$
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section 2.6: chain rule (homework) score: 40/170 answered: 4/17 save pr…
$2(-27x^{8}+6x^{2})e^{-3x^{9}+2x^{3}}$
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(a) sketch a line that is tangent to the graph at (x = 3) on the graph …
(a) Sketch a line touching the curve at \(x = 3\) with the same slope as the curve at that point. (b) \(x = 1,x = 4\) (c) \(-1\)