微积分
极限、导数、最优化与函数性质。
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12. which approach best supports english language learners (select all …
C. Advocating for additional resources
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11. what are beneficial outcomes of classroom diversity? (select 4 answ…
Enhanced critical thinking Broader world understanding Improved creativity Increased empathy
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9. which statement is true about diversity in education? (2 points) * i…
it promotes mutual respect
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using the definition of derivative, find the derivative of $f(x)=\frac{…
$-\frac{2}{(2x + 1)^2}$
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7. which components are essential for supporting diversity in education…
B. Culturally responsive teaching practices
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using the definition of derivative, find the derivative of f(x)=2x^2 + …
Question 12: A. $4x + 3$ Question 13: E. $\frac{1}{\sqrt{2x + 1}}$
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evaluate the following: $lim_{x ightarrow0}\frac{sin x}{x}$ 1 $infty$ -…
1. A. 1 2. E. 3
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if $lim_{x ightarrow1}\frac{f(x)-3}{x - 1}=2$, what is $lim_{x ightarro…
Question 1: A. 3 Question 2: D. 0
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evaluate the following: lim_{x→∞} cos(e^{-x}); options: π/2, 1, dne, 0,…
1
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evaluate the following: lim_{x→4^{-}}\\frac{|x - 4|}{x - 4} -∞ ∞ 1 -1 \…
For the first limit $\lim_{x\to4^{-}}\frac{|x - 4|}{x - 4}$: D. $-1$ For the second limit $\lim_{x\to0^{+}}\ln(x)$: D. $-\infty$
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for the following function, a) give the coordinates of any critical poi…
a) Critical points: $(-3,-108)$ (relative minimum), $(0,0)$ (neither) b) Increasing on $(-3,\infty)$, decreasing on $(-\infty,-3)$ c) Points of inflection: $(0,0)$ and $(-2,-64)$ …
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evaluate the following: $lim_{x ightarrow0}\frac{cos(x)}{x - cos(x)}$ -…
-1 ### Question 2
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for the following function, a) give the coordinates of any critical poi…
C. The relative minimum point(s) is/are $(-3,-108)$ and there are no relative maximum point(s)
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question 4 0.5 pts the demand curve is typically downward sloping becau…
C. All other answers
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a. verify that the given point lies on the curve. b. determine an equat…
The value of \(625xy^{2}\) for \(x = 3\) and \(y = 4\) is \(30000\). The point \((3,4)\) lies on the curve \(48(x^{2}+y^{2})^{2}=625xy^{2}\). The equation of the tangent line to t…
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a. verify that the given point is on the curve. evaluate 48(x² + y²)² f…
a. Since \(48(3^{2}+4^{2})^{2}=48\times25^{2}=48\times625 = 30000\) and \(625\times3\times4^{2}=625\times48 = 30000\), the point \((3,4)\) lies on the curve. b. The equation of th…
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a. verify that the given point lies on the curve. evaluate 48(x^{2}+y^{…
a. The point \((3,4)\) lies on the curve since \(48(x^{2}+y^{2})^{2}=625xy^{2}\) holds for \(x = 3\) and \(y = 4\). b. The equation of the tangent line is \(22x + 21y=150\)
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by checking your mirrors every 3 - 5 seconds, you can: identify vehicle…
Identify vehicles moving into your blind spots
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if visibility is limited, you should: have your headlights on sound you…
Have your headlights on
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a. verify that the point is on the given curve. evaluate 4(x² + y²)² fo…
a. The point \((4,1)\) lies on the curve since when \(x = 4\) and \(y = 1\), \(4(x^{2}+y^{2})^{2}=289xy^{2}=1156\). b. The equation of the tangent line is \(y=\frac{799}{2040}x-\f…
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a. determine an equation of the tangent line and the normal line at the…
Tangent line: $y =-\frac{9}{2}x + 19$ Normal line: $y=\frac{2}{9}x+\frac{1}{9}$
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a. determine an equation of the tangent line and the normal line at the…
The equation of the tangent line is $y=\frac{16}{7}x-\frac{38}{7}$, and the equation of the normal line is $y =-\frac{7}{16}x+\frac{131}{16}$.
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use the excerpt from \bias wont stop young scientist studying animals\ …
The author's central idea is that the lack of representation of people with disabilities leaves science worse off. The last paragraph gives reasons that people with disabilities a…
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a. determine an equation for the tangent line and the normal line at th…
Equation of the tangent line: $16x - 7y=38$ Equation of the normal line: $7x + 16y=131$
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a. determine an equation of the tangent line and the normal line at the…
The equation of the tangent line is $16x - 7y=38$. The equation of the normal line is $7x + 16y=131$.
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an installation sculpture is a. a sculpture that has an integral relati…
D. a form of site specific work, which is designed to affect the way a space is experienced
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a. determine an equation of the tangent line and the normal line at the…
The equation of the tangent line is $y = 2x-2$. The equation of the normal line is $y=-\frac{1}{2}x+\frac{11}{2}$.
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a normal line to a curve passes through a point p on the curve perpendi…
The equation of the normal line to the curve $4x^{2}+4xy + 6y^{2}=14$ at the point $(1,1)$ is $4x - 3y=1$.
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a normal line to a curve passes through a point p on the curve perpendi…
$y=\frac{4}{3}x-\frac{1}{3}$
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a. determine the points where the curve 6x + 2y^2 - y = 3 has a vertica…
a. $(\frac{25}{48},\frac{1}{4})$ b. No
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for the curve x + y² - y = 1 complete the following parts. a. find equa…
The equations of the tangent lines are $y=x - 1$ and $y=-x + 2$. For part b, to graph the tangent lines: 1. The line $y=x - 1$ has a $y$ - intercept of $-1$ and a slope of $1$. Pl…
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for the curve x + y^2 - y = 1 complete the following parts. a. find equ…
The equations of the tangent lines are $y=x - 1$ and $y=-x + 2$
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a site specific sculpture is a. a sculpture that has an integral relati…
B. a form of site specific work, which is designed to affect the way a space is experienced.
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1. verify that the point is on the given curve. evaluate 4(x² + y²)² fo…
The point \((1,2)\) is on the curve \(4(x^{2}+y^{2})^{2}=25xy^{2}\). The equation of the tangent line to the curve at the point \((1,2)\) is \(y=\frac{1}{3}x+\frac{5}{3}\)
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question 21 (4 points) what does the rules committee do in the house of…
1) Construct rules on proposal structures for bills that are submitted to the House
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question 19 (4 points) listen presidents are limited to two full terms …
3) constitutional amendment
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a. verify that the given point lies on the curve. b. determine an equat…
A. The point \((3,2)\) lies on the curve. The equation of the tangent line is \(y =-\frac{32}{45}x+\frac{62}{15}\)
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complete this assessment to review what youve learned. it will not coun…
"And that lack of representation leaves science as a whole worse off."
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assignment find the derivative of y with respect to x 35. $y = \\int_{0…
35. $y^\prime=\frac{\sin x}{x}$ 36. $y^\prime=4xe^{2x}-\frac{1}{2}e^{\sqrt{x}}$
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thoreau alludes to shakespeare in the final line of the text when he wr…
He reminds his well - educated readers that even Shakespeare argued that human knowledge and civilization was limited.
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use implicit differentiation to find $\frac{dy}{dx}$ for the following …
$\frac{11y - 21x^{2}}{12y^{2}-11x}$
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a. use implicit differentiation to find \\(\\frac{dy}{dx}). b. find the…
a. $\frac{dy}{dx}=-\frac{1}{5\sin(5y)}$ b. The slope of the curve at the point $(0,\frac{\pi}{10})$ is $-\frac{1}{5}$
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a. use implicit differentiation to find $\frac{dy}{dx}$. b. find the sl…
a. $\frac{dy}{dx}=-\frac{6x^{2}}{\sin y}$ b. $-6$
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the black codes were written to limit the economic freedom of former sl…
limit the economic freedom of former slaves.
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which of roosevelts policies focused on conservation, consumer protecti…
(Question 1) D. Square Deal (Question 2) B. The government should punish unfair business practices, not success itself. (Question 3) E. Increase direct democracy
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how did the creoles position in the colonial social hierarchy create co…
D. They held middle positions with wealth but limited political power
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a. use implicit differentiation to find $\frac{dy}{dx}$. b. find the sl…
a. $\frac{dy}{dx}=\frac{81}{y^{2}}$ b. $1$
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question 8 read this passage from the article: ayurveda was based on a …
B. To provide details about the origins of Ayurvedic medical practices in ancient India
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carry out the following steps for the given curve. a. use implicit diff…
$8$
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in this text, the author uses several rhetorical devices to support her…
One technique could be metaphor. If the author writes "Smartphones are like digital cages", it creates an image to show how smartphones can limit freedom. Another could be appeal …
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graph each function over the interval indicated, noting the period, asy…
For $f(t)=2\tan t$: Period is $\pi$, asymptotes are $t=-\frac{3\pi}{2},-\frac{\pi}{2},\frac{\pi}{2},\frac{3\pi}{2}$, zeroes are $t=-2\pi,-\pi,0,\pi,2\pi$, $A = 2$. For $g(t)=\frac…
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learning lab goal sd equations 1 question 8 of 10 (1 point) | question …
$u = - 9$
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which of the following is an advantage of capitalism and the free marke…
The potential for profit provides incentive to work.
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how does the 10th amendment limit national government power? it provide…
It limits national government power by reserving certain powers to the states or the people.
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the excerpt below is from the 10th amendment to the u.s. constitution. …
It provides a list of rights and freedoms for citizens is incorrect. The 10th Amendment is about power - division, not a list of individual rights. It does not establish the supre…
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drag each constitutional principle to the correct description. (2 point…
Popular sovereignty: Government is subject to the will of the people. Limited government: Government power is controlled by the Constitution. Separation of powers: Government powe…
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the excerpt below is from the 10th amendment to the u.s. constitution. …
It limits national government power.
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slave laws in the carolinas in the early 1700s were established in orde…
ensure that no one would challenge their new economic system.
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based on this quote, why are juries significant in the modern american …
Juries prevent the abuse of governmental power.
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a. use the given graph to identify and estimate the x - and y - values …
Relative minima at \(x = 0,y=-1\); No relative maxima at \(x=\text{none},y = \text{none}\)
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laws, proclamation of 1763, stamp act (1765), quartering act (1765), fo…
- **Proclamation of 1763**: - **For**: Prevented conflicts with Native - Americans, protecting colonists. - **Against**: Limited colonial expansion and economic opportunities. - *…
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which of the following set of statements correctly completes the chart?…
The national government's powers are limited by the Constitution; The national government is not strong enough to manage a crisis.
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which political activity in ancient greece was a foundation for america…
D. Citizens voted in elections.
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3 history martin luther posted his ninety - five theses in 1517. copies…
The Reformation might have been a much smaller, more local movement. It would have spread very slowly as ideas would have to be copied by hand, limiting the number of people who c…
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how did the twenty - sixth amendment address the concerns of american y…
It brought young people, who had been disillusioned by the government's handling of the war, into the political process.
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directions: you have gone back in time, before the inception of the mag…
[Write a 530 - 600 word explanation arguing for the necessity of the Magna Carta, using video and worksheet content to support the argument. Explain how it limits royal power, pro…
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which legislation limited the powers of the president to commit troops …
D. the War Powers Resolution
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excerpt from nature by ralph waldo emerson chapter 1 - nature to go int…
Nature is an essay in praise of nature's sublimity, while Society and Solitude is an essay in praise of being alone.
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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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which of the following statements are true of this rational function? c…
There is a removable discontinuity at \(x=-a\)
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identify whether each value of x is a discontinuity of the function by …
\(x = 5\): neither \(x = 3\): neither \(x = 2\): neither \(x = 0\): hole \(x=-2\): neither \(x=-3\): neither
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what are aspects of a free - enterprise system? check all that apply. p…
C. There are few limits on the use of private property. D. Consumers make all of their economic choices. E. Producers make all of their economic choices.
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find the derivative of the function $g(x)=\frac{e^{x}}{4 + 3x}$ $g(x)=$
$\frac{e^{x}(3x + 1)}{(4 + 3x)^2}$
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between 2006 and 2016, the number of applications for patents, n, grew …
b) 837005 c) 34317
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score on last try: 6.67 of 10 pts. see details for more. at least one s…
The function is decreasing on the interval $-3 < x < 1$. The inflection point is at $x=-2$.
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find the average rate of change for the function between the given valu…
17) 76 18) 12
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3 mark for review if (e^{y}-e^{y}x^{3}=x - x^{3}), then the value of (\…
A. $-\frac{1}{e}$
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3 mark for review if $e^{y}-e^{y}=x - x^{3}$, then the value of $\\frac…
A. $\frac{1}{e}$
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homework4: problem 8 (1 point) let f = 2x^2 + 4 and find the values bel…
1. $2x^{2}+4xh + 2h^{2}+4$ 2. $4xh+2h^{2}$ 3. $4x$ 4. $y = 20x-46$
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if y - e^y = x - x^3, then the value of dy/dx at the point (0, 1) is a …
# Explanation: ## Step1: Differentiate the given equation implicitly Given \(e^{y}-y=x - x^{3}\). Differentiate both sides with respect to \(x\). The derivative of \(e^{y}\) with …
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homework4: problem 7 (1 point) let $f = \\frac{1}{3x + 1}$ and find the…
1. $\frac{1}{3x+3h + 1}$ 2. $\frac{-3h}{(3x + 1)(3x+3h + 1)}$ 3. $\frac{-3}{(3x + 1)^2}$ 4. $y=-\frac{3}{16}x+\frac{7}{16}$
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if (e^{y}-e^{y^{2}}=x - x^{3}), then the value of (\frac{dy}{dx}) at th…
A. $\frac{1}{e}-1$
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if (e^{2y}-e^{(y^{2}-y)}=x^{4}-x^{3}), then the value of (\frac{dy}{dx}…
C. \(\frac{2}{3}\)
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6. if (z = e^{y - x}-e^{y - 1}-x^{2}), then the value of (\frac{partial…
D. 2
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if (e^{2y - e^{y}}=x^{4}-x^{2}), then the value of (\frac{dy}{dx}) at t…
D. 2
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if (y = ln(3x + 4y)), then (\frac{dy}{dx}=) a) (\frac{1}{3x + 4y}) b) (…
$\frac{3}{3x + 4y-4}$
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if (y = ln(2x^{2}-3y^{2})), then (\frac{dy}{dx}=) a (\frac{1}{2x^{2}-3y…
D. $\frac{4x}{2x^{2}-3y^{2}+6y}$
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if (e^{y}-e^{-y}=x - x^{3}), then the value of (\frac{dy}{dx}) at the p…
B. \(\frac{1}{e - 1}\)
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3 mark for review if (e^{y}-e^{x}=x - x^{3}), then the value of (\frac{…
A. $\frac{1}{e+\frac{1}{e}}$ (equivalent to $\frac{e}{e^{2}+1}$)
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if y = x - x^(-1), then the value of dy/dx at the point (0, 1) is a - 1…
None of the given options are correct. The value of \(\frac{dy}{dx}\) at the point \((1,0)\) (since when \(x = 1\), \(y=1^{2}-1^{-1}=0\)) for \(y=x^{2}-x^{-1}\) is \(3\).
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5 two people start walking from the same point. one person travels west…
5 miles per hour
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if (e^{y}-e^{y}=x - x^{3}), then the value of (\frac{dy}{dx}) at the po…
B. $\frac{2}{e}$
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if (3x^{3}+5x^{2}y^{2}=2y), then (\frac{dy}{dx}=) a (\frac{-6x}{20xy - …
B. $\frac{-10xy^{2}-6x}{10x^{2}y - 2}$
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if (2xy^{2}-3x^{2}y = 6x), then (\frac{dy}{dx}=) a) (\frac{6}{1y - 6x})…
D. \(\frac{-2y^{2}+6xy + 6}{4xy-3x^{2}}\)
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let (f(x)=x^{3}) and (g(x)=\frac{x}{x - 1}). if (h) is the function def…
A. $3(g(x))^{2}$
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if (f(x)=(cos(sqrt{x})-ln(x^{2}))^{3}), then (f(x)=) a) ((-\frac{1}{2sq…
The derivative of \(y = 3\cos(\sqrt{x})-\ln(x^{2})\) is \(-\frac{3}{2\sqrt{x}}\sin(\sqrt{x})-\frac{2}{x}\), but since the options are not clearly readable in the provided image, w…
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let f be the function defined by f(x)=sin(h(x)), where h is a different…
C. \(\cos(h(x))h^{\prime}(x)\)
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5. if (f(x)=(e^{3x}+sin(2x))^{4}), then (f(x)=) a. (4(3e^{3x}+2cos(2x))…
C. \(4(e^{3x}+\sin(2x))^{3}(3e^{3x}+2\cos(2x))\)
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webwork 2 - topics 4 - 5: problem 8 (1 point) if $xe^{5y}+y^{3}cos(5x)=…
$\frac{4e^{4x}-e^{5y}+5y^{3}\sin(5x)}{5xe^{5y}+3y^{2}\cos(5x)}$
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question: which of the following statements is not always true? select …
A rise in GDP is representative of economic progress.