微积分
极限、导数、最优化与函数性质。
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first up, lets review the assignments learning objectives get familiar …
The local maximum is at \((-4,6)\) and the local minimum is at \((-1,1)\)
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first up, lets review the assignments learning objectives get familiar …
The local maximum is at \((-4,6)\) and the local minimum is at \((-1,1)\)
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determine the local maximum and local minimum of the function whose gra…
Local maximum at \((-2,18)\), local minimum at \((2,-14)\)
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question find the average rate of change of the given function on the i…
13
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given the graph of the function ( f(x) ) below, find the average rate o…
5
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question the following table shows the temperature ( t(d) ) in degrees …
\(5.5^{\circ}\) per day
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question determine the interval(s) for which the function shown below i…
\((-\infty,-4)\cup(3,\infty)\)
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question determine the interval(s) for which the function shown below i…
\((-\infty,3)\)
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current objective use a graph to determine intervals of increase and de…
\((-1,\infty)\)
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use a graph to determine intervals of increase and decrease question de…
\((-7,-5)\cup(0,1)\)
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current objective use a graph to determine intervals of increase and de…
\((-7,-5)\cup(0,1)\)
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to sketch a graph of daily temperature, starting at 45°f at 6 am, peaki…
The relative maximum value of the function.
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question determine the interval(s) for which the function shown below i…
\((2,\infty)\)
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write a polynomial function of least degree with integral coefficients …
\(f(x)=x^{3}-3x^{2}-4x + 12\)
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question determine the interval(s) for which the function shown below i…
\((-1,\infty)\)
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get familiar with this topic by reviewing instruction and answering a c…
\((-\infty,-4)\cup(0,3)\)
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answer 1: x not quite right - check out the answer explanation. (0,1)u(…
\((-\infty,1)\cup(3,4)\)
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question 11. describe the function between x = -2 and x = 4 as increasi…
The function is decreasing between \(x=-2\) and \(x = 4\).
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question given the function p(t) in the graph below, identify the inter…
\((0,1)\cup(3,4)\)
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describe the identified intervals below as increasing, decreasing, or c…
Interval 1: Decreasing, Interval 2: Decreasing, Interval 3: Decreasing, Interval 4: Constant, Interval 5: Decreasing.
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which statement primarily appeals to ethos to support the position that…
The second statement: "Although it may come as a surprise, I would prefer a year - round school schedule to our current system. As an academically competitive high school junior, …
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russia and japan quick check which of the following best explains why i…
Ivan IV was struggling against the boyars and wanted to limit their power.
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$$ int - \frac { cos 2 \theta } { 2 } d \theta $$
\(-\frac{\sin(2\theta)}{4}+C\)
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a government with powers that are constrained, usually by a constitutio…
- Limited Government - Procedural Due Process
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which was a philosophy of early women suffrage leaders elizabeth cady s…
bar men from membership in their organization and gain immediate women's suffrage
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sinθ = 4/5 cscθ = 5/4 cosθ = 3/5 secθ = 5/3 tanθ = 4/3 cotθ = 3/4 5. dr…
\(\sin\beta=\frac{3\sqrt{10}}{10},\cos\beta=\frac{\sqrt{10}}{10},\tan\beta = 3,\csc\beta=\frac{\sqrt{10}}{3},\sec\beta=\sqrt{10},\cot\beta=\frac{1}{3}\)
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find all points (x,y) on the graph of f(x)=2x² - 5x with tangent lines …
\((2,-2)\)
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find the first and second derivatives of the function. $w = \\left( \\f…
\(\frac{d^{2}w}{dz^{2}}=\frac{16}{z^{3}}\)
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find the first and second derivatives. $y = \\frac{3x^{3}+9}{x}$ $\\fra…
\(\frac{dy}{dx}=6x-\frac{9}{x^{2}}\)
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find the derivative of the function. s = 8 t ^ { 7 / 4 } + 4 e ^ { 2 } …
\(14t^{3/4}\)
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5. draw a diagram and find the exact, simplified values given that $tan…
\(\sin\beta=\frac{3\sqrt{10}}{10}\), \(\cot\beta=\frac{1}{3}\)
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find the derivative of the function. y = 5e^{-x}+e^{4x} \\frac{dy}{dx}=…
\(-5e^{-x}+4e^{4x}\)
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quiz 10 - solving polynomials, find trig values calculator - 20 minutes…
\(\sin\theta=\frac{5}{13}\), \(\csc\theta=\frac{13}{5}\), \(\cos\theta=\frac{12}{13}\), \(\sec\theta=\frac{13}{12}\), \(\tan\theta=\frac{5}{12}\), \(\cot\theta=\frac{12}{5}\)
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find the derivative of the following function. $f(y)=\\frac{y + 6}{5\\s…
\(\frac{5y + 14\sqrt{y}-30}{2\sqrt{y}(5\sqrt{y}+7)^2}\)
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find \\( \\lim _{h \ ightarrow 0} \\frac{f(x+h)-f(x)}{h} \\) for the gi…
\(8\)
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find the derivative of the function. $y = \\frac{7x^{2}+2}{x^{2}+5}$ $y…
\(\frac{66x}{(x^{2}+5)^{2}}\)
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find y by (a) applying the product rule and (b) multiplying the factors…
\(y=-x^{5}+7x^{3}-2x^{2}-12x + 6\)
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find y by (a) applying the product rule and (b) multiplying the factors…
\((3 - x^{2})(3x^{2}-4)+(x^{3}-4x + 2)(-2x)\)
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$$ \frac { d r } { d s } = - \frac { 2 } { 3 s ^ { 3 } } + \frac { 24 }…
\(\frac{d^{2}r}{ds^{2}}=\frac{2}{s^{4}}-\frac{24}{s^{6}}\)
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find the first and second derivatives. $r = \\frac{1}{3s^{2}} - \\frac{…
\(-\frac{2}{3s^{3}}+\frac{24}{5s^{5}}\)
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find the first and second derivatives. $y = \\frac{8x^{3}}{3}-5x + 7e^{…
\(16x + 7e^{x}\)
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find the first and second derivatives. y = \\frac{8x^{3}}{3} - 5x + 7e^…
\(8x^{2}-5 + 7e^{x}\)
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determine the phase shift (in rad) of the sinusoidal function ( g(x)=-3…
\(10\pi\) right
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the reciprocal of the quadratic function ( f(x) = 20x^{2}+107 ) has the…
True
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the black graph is $y = \\cos x$. choose the equation for the red graph…
\(y=\cos(x+\pi)+2\)
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the black graph is $y = \\cos x$. choose the equation for the red graph…
\(y=\cos(x-\pi)+1\)
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9. y = sin 1/6 x 10. y = sin 4x
# Explanation: ## Step1: Recall the period formula for sine function[LLM SSE On Failure]
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the black graph is $y = \\cos x$. choose the equation for the red graph…
\(y - 1=\cos(x-\frac{\pi}{2})\)
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graph each function for $0 \\leq x \\leq 2\\pi$. 9. $y = \\sin \\frac{1…
Plot the points \((0,0)\), \((\pi,\frac{1}{2})\), \((2\pi,\frac{\sqrt{3}}{2})\) and draw a smooth sine - wave curve through them for \(0\leq x\leq2\pi\).
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the clergy of the roman catholic church made up this estate. owned 10% …
1. 1st Estate 2. 3rd Estate 3. Their lavish and excessive spending put France in debt and angered French citizens 4. Estates - General
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graph each function for ( 0 leq x leq 2 pi ). find the period of each f…
The period of \(y=\sin\frac{1}{6}x\) is \(12\pi\), and the period of \(y=\sin4x\) is \(\frac{\pi}{2}\).
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question 5 what is the vertical asymptote and range of the following fu…
O VA \(y=-2\) and Range \((-\infty,-2)\)
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ben owns a shoe store. he has a new line of limited - edition running s…
$21.6$
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2. an astronaut drops a rock off the edge of a cliff on the moon. the d…
The average rate of change in speed is \(1.6\) meters per second. This means that, on average, the speed of the rock is increasing by \(1.6\) meters per second for each second in …
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practice: average rate of change for each scenario, determine the avera…
The average rate of change is \(0.488\) feet per foot. This means that, on average, as the baseball travels from \(30\) feet to \(130\) feet from home - plate, its height increase…
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evaluate the integral int _ { 0 } ^ { pi } ( - 1 sin ( t ) + 5 cos ( t …
$-2$
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all of the following limited progressive reform except the supreme cour…
women winning the right to vote but not yet having full social equality.
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consider the integral int_{3}^{12}left(4 x^{2}+4 x+4 ight) d x (a) find…
a. \(L_3 = 1764\) b. \(R_3=3492\)
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definite integrals: problem 2 (1 point) suppose f(x)=\begin{cases}6 - 2…
\(18\)
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lesson 3 practice problems 1. select all points where relative minimum …
B. Point \(B\), E. Point \(E\)
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average rate of change between two points $(x_1,y_1)$ and $(x_2,y_2)$ $…
a. \((-5,8)\) and \((-1,0)\) b. \(\frac{0 - 8}{-1-(-5)}=-2\)
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consider the graph of the function $f(x)$: evaluate the following integ…
(a) \(4\) (b) \(10\) (c) \(-2\) (d) \(9\)
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average rate of change between two points $(x_1,y_1)$ and $(x_2,y_2)$ $…
a. \((-3,8)\) and \((6,62)\) b. \(\frac{62 - 8}{6-(-3)}=\frac{54}{9} = 6\)
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colins town voted on a new speed limit. out of 630 votes, 504 were in f…
80%
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close read: analyze the text identify the choice that best answers the …
C. Though people often fear and resist it, change is unavoidable in the end.
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determine all intervals on which $f(x)geq0$. graph of $f$
The intervals on which \(f(x)\geq0\) are \([-8,-3]\) and \([2,8]\)
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determine the domain on which the following function is increasing.
The function is increasing on the interval \((-5,\infty)\)
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determine the domain on which the following function is increasing.
The function is increasing on the interval \((-4,\infty)\)
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determine the domain on which the following function is decreasing.
The function is decreasing on the interval \((-\infty,3)\)
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chinese dynasties quick check which of the following best interprets th…
Limiting Western access to Ming China kept the country free of foreign influence for a time, but not forever.
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corresponding degree measure for each angle. 15. what are the radian an…
15. Radian measure: \(\frac{3\pi}{2}\), Degree measure: \(270^{\circ}\) 16. \(\frac{5\pi}{9}\) 19. \(36\)
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14. one half of circle a has been divided into 3 equal parts. label poi…
- Radian measure of \(\angle EAP\): \(\frac{2\pi}{3}\), Degree measure of \(\angle EAP\): \(120^{\circ}\) - Radian measure of \(\angle FAP\): \(\frac{\pi}{3}\), Degree measure of …
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match each of the following terms to its definition or description. 10 …
- Plagiarism: d. The unauthorized use of another person's ideas or creative work - Fair Use Doctrine: e. Allows you to use a limited amount of copyrighted material without permiss…
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people who practice ______ behave morally. your answer fair use allows …
1. Ethics 2. True 3. C. send email messages to as many people as possible
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this part of copyright law allows you to use a limited amount of copyri…
A. fair use B. False
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5.7 part 1 score: 5/13 answered: 5/13 question 8 find the exact value (…
\( \frac{\pi}{4} \)
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5.7 part 1 score: 5/13 answered: 5/13 question 6 evaluate the given exp…
$1.4326$
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in this section, youll investigate different types of credit, how each …
A. $22.50
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jackson invested $8,200 in an account paying an interest rate of 4% com…
$11364$
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the function ( y = f(x) ) is graphed below. what is the average rate of…
\(1\)
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limitation means: proposal gunk icebox restriction
restriction
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6. use technology to graph ( f ( x ) = 0.7 x ^ { 4 } - 3 x ^ { 2 } + 5 …
1. \(x\approx - 1.15,x = 0,x\approx1.64,x\approx3.79\) 2. \((0.87,2.78)\) 3. \((0.07,1.12)\) and \((3,0.17)\)
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4. which of the following is not protected by the first amendment? a. f…
4. d. The right to a trial by jury. 5. c. To protect individual freedoms and expression. 6. a. A free and democratic society can only exist if the people have access to free press.
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part b. determine the intervals for which the function is increasing or…
The function is increasing when \(x < - 2.67\) and \(x>0\). The function is decreasing when \(-2.67 < x <0\).
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use technology to graph ( g(x)=2 x^{3}+8 x^{2}-3 ). part a. identify th…
1. \(x\approx - 5.04,x\approx - 0.18,x\approx0.02\) 2. \((-2.67,15.96)\) 3. \((2.17,12.59),(2.67,-15.96)\)
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the poems \to his coy mistress\ and \twenty - one love poems (poem iii)…
- **"To His Coy Mistress"**: Time is limited (world not enough), beauty fades (virginity to be tried by worms). - **"Twenty - One Love Poems (Poem III)"**: Love is intense and pre…
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in a democratic society, the media provides the political communication…
- **Strengthens the media's ability to inform citizens**: - The First Amendment of the U.S. Constitution protects the press from government control. - Media reports can raise awar…
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in a situation where the force needed to stretch a spring grows in a cu…
more and more rapidly
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5. calculator allowed let ( f ) be the function given by ( f(x)=cos (2 …
C. \(1.18\)
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4. which of the following are antiderivatives of ( f(x)=sin x cos x )? …
D. I and III only
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3. \\( \\int x \\sin ( 2 x ) d x = \\) (a) \\( - \\frac { x } { 2 } \\c…
A. \(-\frac{x}{2}\cos(2x)+\frac{1}{4}\sin(2x)+C\)
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2. no calculator what are all values of ( x ) for which the function ( …
D. \(-1<x<3\)
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question 11 which was a positive result of the crusades on medieval eur…
- Question 11: Crusaders returned to Europe with new ideas from the Muslim world - Question 12: It had a government that limited the power of the king
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references and cover letters use the information below to answer the qu…
It showcases alignment with company needs.
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references and cover letters use the information below to answer the qu…
They reflect professionalism and attention to detail.
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references and cover letters use the information below to answer the qu…
It introduces the applicant and provides additional insights into skills and suitability.
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references and cover letters use the information below to answer the qu…
both a resume and a cover letter
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what does seeking guidance from mentors and peers help with? limiting e…
B. understanding job market dynamics
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engaging with a diverse network of individuals, including peers, adults…
by offering guidance from individuals with similar experiences.
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how many years are required for an investment to double in value if it …
\(13.9\)