微积分
极限、导数、最优化与函数性质。
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the derivative of ( y=(3 x - 7)sqrt{x} ) is ( \frac{dy}{dx}=\frac{bx - …
\(9\)
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the derivative of ( f(x)=\frac{sqrt3{x}}{sqrt{x}} ) is ( f^{prime}(x)=-…
\(n = 7\)
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the derivative of $f(x)=7sqrt4{x^3}$ is $f(x)=\frac{b}{sqrt4{x}}$. find…
\(b = 21/4\) (or \(b = 5.25\))
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there is a point on the graph of $y = \\frac{x^{2}}{2}+1 - x$ where the…
\(x = 1\)
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find the equation of the normal to the graph of ( y = 3x^{2}+\frac{1}{x…
\(y =-\frac{1}{5}x+\frac{21}{5}\)
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find the equation of the normal to the graph of ( y = x^{x} ) at the po…
\(y =-\frac{1}{4(1+\ln 2)}x+\frac{9 + 8\ln 2}{2(1+\ln 2)}\)
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find the equation of the normal to the graph of $y = 3x^{2}+\frac{1}{x}…
\(y=-\frac{1}{5}x+\frac{21}{5}\)
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a tangent to the graph of $y = x^{2}+1$ is parallel to the line $y = x$…
\(0\)
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find the equation of the tangent to the graph of ( y = 3x^{2}+\frac{1}{…
\(y = 5x-1\)
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the graph of ( y = x ^ { 2 } - \frac { 16 } { x } ) has a horizontal ta…
\((-2,12)\)
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find the gradient of the graph of ( y=(2 - 3x)(1 - x) ) at the point, w…
\(37\)
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for some functions, f and g, the graph of f has gradient 2 at the point…
\(-8\)
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suppose that ( h(x)=f(x)-2g(x), f(-1)=3 ) and ( g(-1)=-2 ). find ( h(-1…
\(7\)
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suppose that ( h(x)=4 f(x)+3 g(x), f^{prime}(1)=2 ) and ( g^{prime}(1)=…
\(5\)
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the derivative of f(x) = 9x³ - 6x⁴ is f(x) = bx^k. find the value of b.…
\( f^{\prime}(x)=-27x^{-4}-24x^{3} \), so \( b=-27 \) and \( k = - 4 \) (if we consider the form \( f^{\prime}(x)=bx^{k}\) for the first - term \( -27x^{-4}\)).
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the derivative of ( f(x)=\frac{8}{2 x^{5}} ) is ( f^{prime}(x)=\frac{b}…
\(-20\)
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the derivative of ( f(x) = 6x^{3} ) is ( f(x) = bx^{k} ). find the valu…
\(18\)
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find the derivative of $f(x)=\\frac{x^{2}}{x^{3}}$.
$-\frac{1}{x^{2}}$
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find the derivative of $f(x)=x^{-5}$.
$f^\prime(x)=-\frac{5}{x^{6}}$
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find the derivative of $f(x)=x^{5}$.
\(f^\prime(x)=5x^{4}\)
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when an ice cube is put in warm water, it starts to melt. in a particul…
\(-12\)
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the derivative of the function f is given by f(x)=x² - x + 3. find the …
\(5\)
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find the gradient of the tangent to the graph of ( f ) at the point whe…
\(5\)
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use your calculator to find the gradient of the graph of $y = ln(3x^{2}…
\(0.857\)
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use your calculator to find the gradient of the graph of $y = \\frac{3x…
\(-2.12\)
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use your calculator to find the gradient of the graph of y = 2^{x} at x…
\(0.693\)
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which statement best describes the articles sense of closure? source 2:…
D. It concludes by summarizing how biking supports recreation, economy and conservation.
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consider the function defined by ( f(x)=\frac{x^{3}-2 x^{2}-5 x + 6}{(x…
\(2\)
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source 2: ot your typical mountain biking trail\ mountain biking is no …
B. 'Built by the American Bikers Association, the 25 - mile route twists through pine forests.'
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source 2: ot your typical mountain biking trail\mountain biking is no l…
B. By describing the trail's design, then showing its effects on people and the environment
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source 2: ot your typical mountain biking trail\mountain biking is no l…
C. To explain how a new trail design benefits riders and communities
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consider the sequence defined by ( a_n=\frac{7n - 3}{4n + 1} ). write d…
\(\frac{7}{4}\)
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find the absolute maximum and absolute minimum values of f on the given…
The absolute minimum value is \( 0 \) (at \( x=-1 \)) and the absolute maximum value is \( \ln(10) \) (at \( x = 2 \)).
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a student is researching the chinese governments 1992 shift to a market…
C. From 2000 to 2006, processing imports with inputs rose much more sharply than processing imports with assembly did.
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step 1 for ( h ( t ) = t ^ { 3 / 4 } - 8 t ^ { 1 / 4 } ), we have step …
\(0,\frac{64}{9}\)
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5. two important limitations of fiscal policy are that it takes some ti…
D. political
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5. which of the following is not an advantage of a sole proprietorship?…
limited liability
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3. a type of business organization that is treated as a legal person an…
B. corporation
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1. a business organization owned by two or more people who share in the…
B. partnership
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rudolf cesaretti et al. conducted an analysis of historical urban scali…
D. despite regional differences in their political and economic systems, medieval Western European settlements shared common spatial constraints that encouraged high population de…
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answer the following true or false: if ( g(x) ) is the inverse of a dif…
True
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the number of bacteria in a culture is given by the function ( n(t)=925…
(a) \(15\) (b) \(925\) (c) \(1958\)
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a population of bacteria is growing according to the equation ( p(t) = …
\(t = 7.3\)
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quiz instructions these questions are designed to accompany your textbo…
quantity supplied; price (the fourth option: quantity supplied: price)
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8. what is the slope of the tangent line to the graph of $f(x)=(x^{2}+1…
The slope of the tangent line at the point \((2,25)\) is \(80\), and the function is changing at a rate of \(80\) when \(x = 2\).
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find the exact value of the expressions \\( \\cos ( \\alpha + \\beta ) …
$-\frac{16}{65}$
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find the exact value of the expressions \\( \\cos ( \\alpha + \\beta ) …
\(-\frac{63}{65}\)
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emma needs to get off of the highway. what is the first thing she must …
get into the exit lane
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(03.04) estimate the average rate of change between ( x = 0 ) and ( x =…
A. 6
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question 3 (2 points) (03.04) calculate the average rate of change for …
C. 2
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determine the vertical asymptotes of the graph of the function. g(x)=\\…
B. The leftmost vertical asymptote is $x=-4$ and the rightmost vertical asymptote is $x=\frac{9}{2}$.
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(a) the open intervals on which f is increasing. (enter your answer usi…
(c) \((2,5)\) (d) \((0,2)\cup(5,7)\) (e) \((2,0)\) (smallest \(x\) - value) and \((5,2)\)
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the function f is defined as f(x)=\\frac{7}{2x^{2}-4x}. find f(x + 6). …
\(\frac{-7(x + 5)}{(x + 4)^{2}(x + 6)^{2}}\)
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write the equation of the trigonometric function shown in the graph. $y…
\(y = 2\cos(x)+3\)
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determine the equation of the midline of the following graph.
$y = 0$
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use transformations of the graph of $f(x)=e^{x}$ to graph the given fun…
The range of \(h(x)=e^{x + 2}-3\) is \((-3,\infty)\)
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the function ( f(x) ) is shown on the graph. if ( f(x)=0 ), what is ( x…
\(-2,1,\text{ or }3\text{ only}\)
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find the derivative of ( f(x) ). ( f(x)=e^{x^{4}} ) ( f^{prime}(x)= )
\(4x^{3}e^{x^{4}}\)
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find the derivative of ( f(x) ). ( f(x)=e^{-3 x+2} ) ( f^{prime}(x)= )
\( -3e^{-3x + 2} \)
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state whether the following function has a maximum or a minimum and its…
min = - 2
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complete the table shown to the right for the population growth model f…
\(-0.0343\)
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given that \\( \\cos \\alpha = \\frac { 3 } { 5 } \\) and \\( 0 < \\alp…
\(\frac{2\sqrt{5}}{5}\)
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use a double - angle identity to find the exact value of the expression…
\(-1\)
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urbanization can result in negative impacts on the environment. how can…
- Provide additional bus stops for people to save time instead of walking to work. - Plan housing and business developments that are within walking distance to businesses and park…
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question 7 of 10 which sentence best describes the root of walters unha…
C. He wants to provide for his family but has limited options.
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question 1 of 10 what is one theme in a raisin in the sun? a. success i…
B. Racism limits a person's choices in life.
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question 8 (1 point) graphs of logarithmic functions will always have e…
True
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the chinese exclusion act (1882) and president roosevelts gentlemans ag…
B. Nativism
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(sections 2.1,2.2,2.6) 11 of 17 this q this q use the graph of the give…
The relative maximum is \((0,1)\) and the relative minimum is \((2,-3)\)
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the movement of the progress bar may be uneven because questions can be…
use up
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what impact did the caliphs have on the spread of islam? the caliphs ru…
Caliphs were able to spread Islam as far as Europe and India.
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¿qué ramas del gobierno exploró hamilton en sus ensayos finales? * pode…
- Primera pregunta: Poder Legislativo, Ejecutivo y Judicial - Segunda pregunta: Principalmente en Nueva York
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¿qué principio clave destacaron los artículos federalistas sobre el pod…
1. Controles y equilibrios 2. Jean - Jacques Rousseau
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the graph of ( y = f(x) ) is shown below. find all values of ( x ) for …
The values of \( x \) for which \( f(x)>0 \) are \( - 4<x<-2 \).
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determine the domain on which the following function is decreasing.
The function is decreasing on the interval \((-4,\infty)\)
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the field of ________ emerged in the late 19th century as an early scie…
- First question: Sexology - Second question: Limited access to education and healthcare
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$$ int _ { - infty } ^ { infty } \frac { e ^ { x } } { 1 + e ^ { 2 x } …
\(\frac{\pi}{2}\)
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every order, resolution, or vote to which the concurrence of the senate…
Power to override presidential vetoes
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8. sketch a parabola that has x - intercepts of - 6 and 2 and a range o…
a. The function \(f(x)=x^{2}-2x - 3\) has a minimum value, and the minimum value is \(-4\). b. To graph the function \(y=x^{2}-2x - 3=(x - 1)^{2}-4\): - The vertex is \((1,-4)\). …
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describe the transformation to f(x) that results in g(x). g(x)=f(x + 5)…
\(f(x)\) has been translated to the left \(5\).
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determine the domain on which the following function is decreasing.
The function is decreasing on the interval \([6,13]\)
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identify the interval where the function is decreasing. 5 < x < 12 6 < …
B. \(6 < x < 12\)
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identify the interval where the function is increasing. 3 < x < 6 -2 < …
C. \(x > 3\)
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which graph does not have a minimum?
II
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where is there a relative maximum? (0,0) (3,1) (1,5)
C. (1,5)
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what is the interval of increase? all real numbers (0,2) (-3, ∞) (1, ∞)
C. \((-3, \infty)\)
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given the function ( h(x) ), over which of the following intervals is (…
$-3 < x < 1$
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identify the interval where the function is increasing. 3<x<6 -2<x<0 x>…
$x>3$
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write a cosine function that has a midline of ( y = 3 ), an amplitude o…
$f(x)=5\cos(4x)+3$
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write the equation of the trigonometric function shown in the graph. $y…
\(y = 1\cos(1x)+0\)
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write a cosine function that has a midline of $y = 4$, an amplitude of …
$f(x)=5\cos(12x)+4$
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determine the period of the following graph. answer
$2\pi$
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determine the period of the following graph. answer submit answer
$4\pi$
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determine the amplitude of the following graph. answer submit answer
$2$
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determine the amplitude of the following graph. answer submit answer
$1$
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determine the equation of the midline of the following graph. answer
$y = - 4$
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question 11 next question determine the period of the following graph. …
$\frac{4\pi}{3}$
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question 10 next question determine the amplitude of the following grap…
$1$
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3. sketch the graph of the equation $y=-2\\sin(\\pi(x - 1))-4$.
The graph of \(y=-2\sin(\pi(x - 1))-4\) has amplitude \(2\), period \(2\), phase - shift \(1\) unit to the right and vertical - shift \(4\) units down.
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write the equation of the trigonometric function shown in the graph. an…
\(y = 1\cos(1x)+0\)