Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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find the derivative of y with respect to x. ( y = 2 ln left( \frac { 8 …
$-\frac{2}{x}$
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differentiate implicitly to find dy/dx. then find the slope of the curv…
\(\frac{dy}{dx}=-\frac{y}{x}\), and the slope at the point \((1,7)\) is \(-7\).
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find the linearization ( l(x) ) at ( x = a ). ( g(x)=2 x^{2}-5 x-4 quad…
\(L(x)=-17x - 22\)
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yaritza launches a toy rocket from a platform. the graph below shows th…
The interval for which the rocket's height is increasing is \(0<t<2\) (or in interval notation \((0,2)\))
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find the derivative of the function. f(x)=\\sqrt{5 + x\\sin x} \\frac{d…
\(\frac{\sin x + x\cos x}{2\sqrt{5 + x\sin x}}\)
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find \\frac{dy}{dx} for y = \\frac{9}{x} + 5\\sin x.\\frac{d}{dx}(\\fra…
$-\frac{9}{x^{2}}+5\cos x$
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what does this section of the monroe doctrine say about future european…
It should not happen under any conditions.
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hamiltons creation of the national bank and jeffersons purchase of loui…
D. Demonstrate the flexibility of the US Constitution
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read the excerpt from chapter 10 of animal farm the pigs appeared compl…
They prohibited alcohol when they took control of the farm.
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a. key terms match the descriptions in column i with the terms in colum…
1. d 2. a 3. e 4. b 5. c 6. d 7. c 8. a 9. d 10. c
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evaluate sin(π/2)
\(1\)
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evaluate cos(225°)
$-\frac{\sqrt{2}}{2}$
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find \\( \\frac { d y } { d x } \\) for the following function. \\( y =…
\(\frac{6}{1-\sin x}\)
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find the derivative of y with respect to x. y = log₂x + log₂x⁹ dy/dx = □
\(\frac{10}{x\ln 2}\)
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find the derivative of y with respect to x. $y = 2 ln left( \frac { 8 }…
\(-\frac{2}{x}\)
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find \\( \\frac { d y } { d x } \\) \\( y = x ^ { 2 } \\cos x \\) \\( \…
\(2x\cos x - x^{2}\sin x\)
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use implicit differentiation to find \\( \\frac { d y } { d x } \\). \\…
\(\frac{3x^{2}y^{5}-4x^{3}}{\cos y - 5x^{3}y^{4}}\)
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what is the minimum number of points required to mark all maximum, mini…
4
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the sine function is an odd function. # choice a true b false question …
A. True
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the cosine function is an odd function. choice a. true b. false 9b ) th…
9a) B. False 9b) A. True
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8a ) what is the range of the function y = 2 sin x? choice a. -2,2 b 2π…
A. \([-2,2]\)
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what is the period of the function ( y = 2sin x )? # choice a (-1,1) b …
D. \(2\pi\)
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which natural phenomenon is the best example of periodic behavior? choi…
C. The time of sunrise each day
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choice a. $y = \\cos x$ b. $y = -\\sin x$ c. $y = \\sin x$ d. $y = -\\c…
D. \(y =-\cos x\)
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# choice a. $y = \\sin x$ b. $y = -\\cos x$ c. $y = \\cos x$
C. \(y=\cos x\)
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which graph or graphs appear to show a sinusoid? # choice a. ii and iii…
A. II and III only
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which graph or graphs appear to show a sinusoid? i ii iii # choice a. i…
A. I and II only
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which graph or graphs appear to show a sinusoid? i ii iii choice a. i a…
A. I and II only
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which of the following functions is not a sinusoid? # choice a. ( y = c…
C. \( y = x^{2} \)
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the domain of the cosine function is choice a. -1,1 b. all real numbers…
B. all real numbers
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the domain of the sine function is choice a. 2π b. -1,1 c. all real num…
C. all real numbers
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a sinusoid is a function whose values repeat based on positions of a po…
A. True
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read the paragraph. (1) baseball is unique because it is the only sport…
Extra innings tack on time to an already long game, but they are necessary to determine a winner.
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course ap precalculus segment 34a - synthetic division and mor due fri,…
\(x^{3}-2x^{2}-4x-18-\frac{51}{x - 3}\)
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11. how does mr. thompsons view of the old clock contribute to its symb…
11. C. It highlights the clock's role as a testament to residence and experience 12. A. The suspension of time 13. A. Evidence 14. A. Point of view 15. A. First - person perspecti…
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what, in general, was the relationship between parliament and kings cha…
The kings continued to challenge Parliament's authority.
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which of these civil liberties was limited under the napoleonic code? f…
freedom of speech
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1 which term describes repeated consonant sounds at the start of words?…
1. A. Alliteration 2. A. Their style 3. B. Analysis 4. C. Tone 5. B. Mood 6. B. Motif 7. A. Third - person limited
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evaluate using integration by parts. (use symbolic notation and fractio…
\(-(7x + 4)e^{-x}+C\)
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evaluate using integration by parts. (use symbolic notation and fractio…
\(-e^{-x}(7x + 4)+C\)
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mark the critical points on the following graph.
Mark dots at \(x=-4\), \(x=-1\), \(x = 1\), and \(x = 4\) on the graph.
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the following chart shows \living wage\ jobs in rochester per 1000 work…
1997 - 1999: $37.5$ 1999 - 2001: $17.5$
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find the difference quotient $\\frac{f(x + h)-f(x)}{h}$, where $h\ eq0$…
\(-2x - h + 5\)
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suppose that $x^{4}+y^{4}=82$. (1) use the method of implicit different…
1. \(\frac{dy}{dx}=-\frac{x^{3}}{y^{3}}\) 2. \(y = 27x-82\)
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the function ( y = f(x) ) is graphed below. what is the average rate of…
\(5\)
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determine the horizontal asymptote of the function. if none exists, sta…
A. The function has one horizontal asymptote, \(y = \frac{1}{5}\)
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find the limit. (if the limit is infinite, enter \\( \\infty \\) or \\(…
\(-\infty\)
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find the equation of the tangent line to the curve ( y = 4sec(x)-8cos(x…
\(y = 12\sqrt{3}x+(4 - 4\pi\sqrt{3})\)
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find the equation of the tangent line to the curve ( y = 4sec(x)-8cos(x…
\(y = 12\sqrt{3}x+(4 - 4\pi\sqrt{3})\)
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find the equation of the tangent line to the curve ( y = 2\tan x ) at t…
\(m = 4\), \(b=2-\pi\)
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assignment 5: problem 7 (1 point) if ( f(x)=5 x sin (x) cos (x) ), find…
\(f^\prime(x)=\frac{5}{2}\sin(2x)+5x\cos(2x)\) \(f^\prime(4)=\frac{5}{2}\sin(8)+20\cos(8)\)
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assignment 5: problem 6 (1 point) let ( f(x)=\frac{-8 x}{sin (x)+cos (x…
\(8 + 8\pi\)
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let ( f(x)=3 x(sin (x)+cos (x)) ). find the following: 1. ( f^{prime}(x…
1. \(3\sin(x)+3\cos(x)+3x\cos(x)-3x\sin(x)\) 2. \(\frac{3 + 3\sqrt{3}+\pi-\pi\sqrt{3}}{2}\)
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(1 point) let f(x)=\frac{6 - 7\tan(x)}{sec(x)}. find: f(x)= f(4pi)=
\(f^\prime(x)=-6\sin(x)-7\cos(x)\) \(f^\prime(4\pi)=-7\)
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let ( f(x)=\frac{3sin(x)}{3+cos(x)} ). find the following: 1. ( f(x)=\f…
1. \(f'(x)=\frac{3(3\cos(x)+1)}{(3 + \cos(x))^{2}}\) 2. To find \(f'(3)\), substitute \(x = 3\) into \(f'(x)\): \[ f'(3)=\frac{3(3\cos(3)+1)}{(3+\cos(3))^{2}} \] (It seems there w…
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assignment 5: problem 3 (1 point) let $f(x)=\\frac{3\\sin(x)}{3 + \\cos…
1. \(f'(x)=\frac{3(3\cos(x)+1)}{(3+\cos(x))^{2}}\) 2. \(f'(3)\approx - 1.62\)
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what is laissez - faire economics? ○ the belief in limited competition …
the idea that business operates best without regulation
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let ( f(x)=3sin(x)+11cos(x) ). find the following: 1. ( f(x)=) 2. ( f(3…
1. \(f'(x)=3\cos(x)-11\sin(x)\) 2. \(f'(3)=3\cos(3)-11\sin(3)\)
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let $f(x)=-5\\cos x + 4\\tan x$ $\\cdot f(x)=\\square$ $\\cdot f(-\\fra…
$f^\prime(x)=5\sin x + 4\sec^{2}x$; $f^\prime(-\frac{\pi}{4})=8-\frac{5\sqrt{2}}{2}$
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read the excerpt below from the novel east of eden by john steinbeck an…
first - person
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the officers of artillery, in smart blue uniforms faced with black velv…
third - person objective
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which point of view focuses on the thoughts and actions of a single cha…
third - person limited
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which point of view uses the pronouns \he,\ \she,\ and \they\? third - …
all of the above
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unlike the anti-federalists, the federalists believed the president sho…
the president should have enough power to lead.
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an airline has a weight limit for each suitcase. jadas suitcase weighs …
\(50\)
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multiple choice listen what is the purpose of setting specific, measura…
A. to monitor progress and make necessary adjustments
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match the example to the amendment it represents. the constitution does…
1. The first example matches a. Ninth Amendment. 2. The second example matches b. Tenth Amendment.
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for the following functions, determine the: (i) intervals where ( f ) i…
(i) \(f(x)\) is decreasing on \((-\infty,-\frac{1}{3})\cup(1,\infty)\) and increasing on \((-\frac{1}{3},1)\). (ii) Local minimum at \((-\frac{1}{3},-\frac{5}{27})\) and local max…
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a limitation on the presidents power to appoint ambassadors is that the…
the Senate must approve them.
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identify whether the graph of the function f(x) shown below is even, od…
Neither
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the 12th amendment __________. a changed election procedures b prevents…
A. changed election procedures
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identify whether the graph of the function ( f(x) ) shown below is even…
Neither.
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the constitution regulates government powers by providing guides and li…
providing guides and limits to the government's power.
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which concept describes the idea that government and government officia…
rule of law
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the president vetoes a bill proposed to become law by congress. in this…
to limit the power of the legislative branch
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5. (5 points) for the function ( f(x)=3 x^{4}-4 x^{3}+6 ), a. (2 points…
a. The candidates for inflection points are \(x = 0\) and \(x=\frac{2}{3}\) b. Since the concavity of \(y = f(x)\) changes at \(x = 0\) (from concave up (\(f^{\prime\prime}(x)>0\)…
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4. (5 points) for the function ( f(x)=x^{3}(1 - x)^{4} ), a. (2 points)…
a. The critical points are \(x = 0\), \(x=\frac{3}{7}\) and \(x = 1\) b. - At \(x = 0\): Since \(f^\prime(x)\) does not change sign around \(x = 0\), \(x = 0\) is neither a local …
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3. (5 points) for the function $f(x)=x^{3}-3x^{2}+5$, a. (2 points) fin…
a. Critical points are \(x = 0\) and \(x=2\). b. \(x = 0\) is a local maximum and \(x = 2\) is a local minimum.
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2. (2 points) let f and g be functions defined on the set of all real n…
a. False. b. As shown in the example above, even if the derivative of \(h(x)=f(x)-g(x)\) (i.e., \(h^{\prime}(x)=f^{\prime}(x)-g^{\prime}(x)\)) is positive (so \(h(x)\) is increasi…
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1. (3 points) apply the mean value theorem with a = 2, b = 7 so the fun…
\(y-8=\frac{f(7)-f(2)}{5}(x - 6)\) (or \(y=\frac{f(7)-f(2)}{5}x-\frac{6(f(7)-f(2))}{5}+8\))
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whats an easier way to find the second derivative using y = f(x)? i kno…
The standard way is to differentiate the first - derivative. For parametric functions, use the parametric second - derivative formula. There is no one - size - fits - all "quicker…
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individuals put limits on their own economic freedom by complying with …
- First question: complying with the law. - Second question: taxation.
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\\int_{1}^{5} \\frac{\\cos(x)}{x} dx
The value of $\int_{1}^{5}\frac{\cos(x)}{x}dx\approx0.050$
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how do you solve this problem? arctan (3x + 2) i found the derivative u…
The derivative of \(y=\arctan(3x + 2)\) is \(\frac{3}{1+(3x + 2)^{2}}\)
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the magna carta placed clear limits on the power of the ○ citizens. ○ a…
king
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the basic role of the united states government is to maintain control o…
1. protect U.S. citizens 2. competition
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which of the following is a benefit of the freedom to own private prope…
- First question: It encourages people to save and invest. - Second question: Individuals and businesses are the primary decision makers, while the government is the regulator.
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question 11 (1 point) what is competition? a the rivalry between busine…
Question 11: A. The rivalry between businesses to attract customers Question 12: A. Things made by people to make other goods Question 13: B. The idea that resources are limited
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question evaluate the limit: $$\\lim_{x\\to4}\\frac{-8 + 2x}{2 - \\sqrt…
$-8$
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question evaluate the limit: $$ lim _ { x ightarrow - 7 } \frac { sqrt …
$\frac{1}{8}$
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question evaluate the limit: $$\\lim_{x \\to -2} \\frac{\\sqrt{x + 3} -…
$\frac{1}{2}$
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find the difference quotient $\\frac{f(x + h)-f(x)}{h}$, where $h\ eq0$…
\(10x + 5h-5\)
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find the difference quotient \\( \\frac { f ( x + h ) - f ( x ) } { h }…
\(6x + 3h-5\)
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find the difference quotient $\frac{f(x + h)-f(x)}{h}$, where $h eq0$, …
\(4\)
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find the difference quotient \\( \\frac { f ( x + h ) - f ( x ) } { h }…
\(-8x-4h - 6\)
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if the president wants his or her staff to address the press about a ce…
- First question: press briefing - Second question: led to the establishment of multimedia corporations - Third question: the process through which individuals acquire their polit…
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question 8 (2 points) who established the precedent that the president …
- Question 8: George Washington - Question 9: cloture
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5.2.2 quiz: african american migration question 5 of 10 how were freed …
A. They faced discrimination and limited opportunities.
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1. why did the proclamation of 1763 anger the colonists? 2. why did the…
1. The Proclamation of 1763 angered colonists because it restricted west - ward expansion, limiting economic opportunities and freedom. 2. The British enacted more taxes after the…
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kahlo was injured in an accident that broke her spine in several places…
It provides a hopeful image that suggests that Kahlo was not restrained by her condition.