微积分
极限、导数、最优化与函数性质。
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the function f is graphed below. determine the intervals on which f inc…
The function is increasing on the interval - 4 < x < - 2, decreasing on the interval - 2 < x < 2, and decreasing on the interval 2 < x < 7.
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part 2: real - world application fill in the chart below with possible …
| Partnership Type | Example Business | Why it fits this type | | --- | --- | --- | | General Partnership | A local law - firm with two lawyers | Partners share all aspects of bus…
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partnership business types worksheet part 1: vocabulary & definitions m…
1. D. Joint Venture 2. A. General Partnership 3. B. Limited Partnership (LP) 4. C. Limited Liability Partnership (LLP)
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define disability
A condition that significantly impairs a person's physical, sensory, cognitive, mental - health related, or other functions, limiting daily activities.
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8. what does the following quote from captain beatty’s rant show about …
This quote shows that people in this future society have a severely limited attention span.
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ordenar unlimited attempts left late due september put these times in o…
1. Son las ocho y veintidós de la mañana. 2. Son las once de la mañana. 3. Son las dos menos diez de la tarde. 4. Son las seis menos cuarto de la tarde. 5. Son las dos de la tarde…
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the graph of the function f(x)=x^3 - 27x has one local maximum and one …
The function has a local maximum at the point $(-3,54)$. The function has a local minimum at the point $(3,-54)$.
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$\\frac{d}{dx}(\\cos x\\tan x)=$ a $sec x+sin x\tan x$ b $cos x$ c $-si…
There seems to be an error in the provided options as the correct derivative $\frac{d}{dx}(\cos x\tan x)=\sec x - \sin x\tan x$ is not among them. If we simplify further: \[ \begi…
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if (f(x)=\tan x), then (lim_{x ightarrow\frac{pi}{4}}\frac{f(x)-f(\frac…
C. $\sec^{2}(\frac{\pi}{4})$
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$\\frac{d}{dx}(\\cos x\\tan x)=$ a $sec x+sin x\tan x$ b $cos x$ c $-si…
D. $\sin x$
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if (f(x)=sec x), then (lim_{x ightarrow\frac{pi}{3}}\frac{f(x)-f(\frac{…
C. $\sec(\frac{\pi}{3})\tan(\frac{\pi}{3})$
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which of the following correctly shows the derivation of $\frac{d}{dx}(…
C. $\frac{d}{dx}(\sec x)=\frac{d}{dx}(\frac{1}{\cos x})=\frac{\frac{d}{dx}(1)\cos x - 1\cdot\frac{d}{dx}(\cos x)}{(\cos x)^{2}}=\frac{0\cdot\cos x - 1\cdot(-\sin x)}{(\cos x)^{2}}$
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function with the following limit properties. 16. $lim_{x ightarrow - 3…
A possible function is $f(x)=\frac{6}{(x + 1)^2}+6$
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critical thinking 4. compare and contrast copy the graphic organizer be…
In presidential systems: - President is directly elected and independent of legislature. - Executive has significant power, but legislature can check through veto overrides etc. I…
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critical thinking 4. compare and contrast copy the graphic organizer be…
In a presidential system, the president is directly elected and has separate executive power with checks from other branches. In a parliamentary system, the executive (prime minis…
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find the derivative of f(x) = \\frac{1}{x} at x = \\frac{6}{7}. f\\left…
$-\frac{49}{36}$
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problems 15 - 16, write an equation of a rational function with the fol…
$f(x)=\frac{(x - 2)(x + 3)(x + 17)}{(x - 2)(x + 1)(x - 4)}$
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problems 15 - 16, write an equation of a rational function with the fol…
15. $f(x)=\frac{3}{x - 4}$ 16. $f(x)=\frac{6}{x + 1}$
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world music homework questions chapter 2 1) which one of the four basic…
1. Rhythm 2. It is a cultural marker with unique structures. 3. Aerophones: Flute, Ocarina, Trumpet; Chordophones: Guitar, Violin, Harp; Idiophones: Maraca, Xylophone, Bell; Membr…
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analyzing the social contract for topic to renounce liberty is to renou…
the freedom of individuals
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adventure tourism isnt just for the most able - bodied and athletic of …
B. Before accessible tourism, not everyone could participate in adventure tourism.
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a continuous curve y = f(x) has a vertical tangent line at the point wh…
a. A. Using the graph of the function, there appears to be vertical tangent line(s) at $x = 0$. b. A. There is a vertical tangent line because at $x = 0$, the limit as $h$ approac…
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a continuous curve y = f(x) has a vertical tangent line at the point wh…
A. Using the graph of the function, there appears to be vertical tangent line(s) at \(x = 0\)
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a continuous curve y = f(x) has a vertical tangent line at the point wh…
a. The graph appears to have a vertical tangent line at $x = 0$. b. We have confirmed through limit calculations that the function $y = 2x^{\frac{3}{5}}$ has a vertical tangent li…
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(a) find the derivative f(x) of the function f(x) = \\frac{x^{3}}{8}. (…
(a) $f^\prime(x)=\frac{3x^{2}}{8}$ (b) To graph $f(x)=\frac{x^{3}}{8}$, it is a cubic - type function passing through the origin with a relatively flat shape near the origin. To g…
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for what values of x does the graph of f have a horizontal tangent? (us…
$x = 2n\pi+\frac{\pi}{3},2n\pi - \frac{\pi}{3},n\in\mathbb{Z}$
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(a) find the derivative f(x) of the function f(x) = \\frac{x^{3}}{8}. (…
# Explanation: ## Step1: Find the derivative of $f(x)$ Use the power - rule $\frac{d}{dx}(x^n)=nx^{n - 1}$. Given $f(x)=\frac{x^{3}}{8}=\frac{1}{8}x^{3}$, then $f'(x)=\frac{1}{8}\…
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$\\frac{d^{91}}{dx^{91}}(\\sin(x))$ $-\\sin(x)$ resources read it watch…
$-\cos(x)$
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(a) find the derivative f(x) of the function f(x) = \\frac{x^{3}}{8}. (…
(a) $f'(x)=\frac{3}{8}x^{2}$ (b) The function $f(x)=\frac{x^{3}}{8}$ is a cubic - shaped curve passing through the origin. The derivative $f'(x)=\frac{3}{8}x^{2}$ is a parabola op…
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-/1 points a ladder 12 ft long rests against a vertical wall. let $\the…
$6$
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(a) find the derivative f(x) of the function f(x) = $\frac{x^{3}}{8}$. …
$\frac{3}{8}x^{2}$
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determine if the following piecewise defined function is differentiable…
No
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determine if the following piece - wise defined function is differentia…
4
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find the derivative of the following function. f(x)=2x^{3}+5x f(x)=□
$6x^2+5$
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differentiate. f(x)=5x^9 - 3\\cos(x) f(x)= resources read it watch it s…
\(45x^8 + 3\sin(x)\)
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determine if the following piece - wise defined function is differentia…
3
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find the slope of the curve y = - 4x^2 at (2, - 16). the slope of the c…
$-16$
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differentiate the function. then find an equation of the tangent line a…
B. $y - 8=-\frac{1}{6}(x + 6)$
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let (g(x)=xsin(x)). find (g(x)) and (g(x)). let the function (f) be def…
$g'(x)=\sin(x)+x\cos(x)$ $g''(x)=2\cos(x)-x\sin(x)$ $f'(x)$ (from part (a)) $=\cos(x)+\sin(x)$ $f'(x)$ (from part (b)) $=\cos(x)+\sin(x)$ (c) Yes
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find the indicated derivative. $\frac{dy}{dx}$ if $y = - 6x^{3/2}$ $\fr…
$-9x^{\frac{1}{2}}$
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find $\frac{ds}{dt}$ if $s = \frac{t}{9t + 1}$. $\frac{ds}{dt}=square$
$\frac{1}{(9t + 1)^{2}}$
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use the power rule to find the derivative of f(x) = $sqrt6{x}$. f(x) = …
$f^\prime(x)=\frac{1}{6\sqrt[6]{x^{5}}}$
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find the slope of the graph of the function f(x) = √(2x) at (18,6). the…
$y=\frac{1}{6}x + 3$
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find an equation of the tangent line to the graph of the given function…
$y = 3x+3$
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find the slope of the graph of the function f(x) = √(2x) at (18,6). the…
$\frac{1}{6}$
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differentiate. y = \\frac{4x}{5 - \\tan(x)} y= resources read it watch …
$y'=\frac{20 - 4\tan(x)+4x\sec^{2}(x)}{(5 - \tan(x))^{2}}$ $f'(\theta)=\frac{1}{2}\sin(2\theta)+\theta\cos(2\theta)$
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differentiate. $y = \\sec(\\theta)\\tan(\\theta)$ $y=$ 2. - / 1 points …
For \(y = \sec(\theta)\tan(\theta)\), \(y'=\sec(\theta)(\tan^{2}(\theta)+\sec^{2}(\theta))\) For \(f(t)=t\cos(t)+t^{2}\sin(t)\), \(f'(t)=\cos(t)+t\sin(t)+t^{2}\cos(t)\)
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the function $f(x)=x^{2}-x - 40$ is graphed below. determine the slope …
| $x_2$ | Secant Slope | | ---- | ---- | | 2 | 2 | | 1.1 | 1.1 | | 1.01 | 1.01 | | 1.001 | 1.001 |
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the function $f(x)=x^{2}+2x - 6$ is graphed below. determine the slope …
|$x_2$|Secant Slope| |----|----| |2|5| |1.1|4.1| |1.01|4.01| |1.001|4.001|
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the function f(x)=x² + 2x - 48 is graphed below. determine the slope of…
| $x_2$ | Average ROC | | ---- | ---- | | 0 | 1 | | -0.9 | 0.1 | | -0.99 | 0.01 | | -0.999 | 0.001 |
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multiple choice question what was mary wollstonecrafts view on the argu…
The power of men over women was wrong.
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which of the following statements, if true, cannot be used to conclude …
A. \(\lim_{x ightarrow0}f(x)\) exists.
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(this problem is similar to the example in your textbook about guessing…
a. $f^\prime(5)=16$ b. $f^\prime(-3)=0$ c. $f^\prime(10)=26$ d. $f^\prime(t)=2t + 6$
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this problem is similar to the example in your textbook about guessing …
a. $16.00$ b. $25.00$ c. $64.00$ d. $f^\prime(x)=x^{2}$
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attempt 1: 2 out of 6 parts have been answered correctly. (this problem…
a. $f^{\prime}(4)=48.00$ b. $f^{\prime}(-3)=27.00$ c. $f^{\prime}(6)=108.00$ d. $f^{\prime}(7)=147.00$ e. $f^{\prime}(0)=0.00$
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let ( f ) be a differentiable function such that ( f(9)=18 ) and ( f(9)…
$\frac{5}{9}$
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compute the following. $left.\frac{d^{2}}{dx^{2}}(2x^{3}-x^{2}+7x - 1) …
$46$
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the term separation of powers refers to a form of government in which _…
D. the executive, legislative, and judicial branches limit and control each other through a system of checks and balances
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25. lincoln suspended habeas corpus, allowing him to... (2 points) arre…
# Breve explicación: La suspensión del habeas corpus le permitió a Lincoln detener a aquellos que criticaban al gobierno durante la Guerra Civil Estadounidense, ya que esta medida…
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if (f(x)=e^{x}sin x), then (f(x)=) a (e^{x}cos x) b (-e^{x}cos x) c (e^…
C. $e^{x}(\sin x+\cos x)$
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multiple choice question the term ______ refers to a form of government…
B. separation of powers
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read the excerpt from act 3 of a dolls - house. nora: in all these eigh…
The conflict between Nora and Helmer shows how gender roles were defined, as Helmer has complete control over everything, including what the couple discusses.
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read the excerpt from act 1 of a dolls house. mrs. linde: yes, but your…
B. As a woman, Nora cannot borrow money, but she does so behind her husband's back in order to save him.
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find the domain and range of the following function. (enter your answe …
domain: $[-\frac{7}{3},-\frac{5}{3}]$, range: $[-\frac{\pi}{2},\frac{\pi}{2}]$
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the accompanying figure shows the velocity v = ds/dt = f(t) (m/sec) of …
a. \(t = 2,4\) b. \(5\leq t\leq8\) c. Graph speed by plotting \(|v|\) values as described above for \(0\leq t\leq10\). d. Graph acceleration by plotting the values calculated abov…
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the accompanying figure shows the velocity v = $\frac{ds}{dt}$ = f(t) (…
a. \(t = 2,4\) b. \(t\in[0,1]\cup[4,6]\cup[6,8]\) c. Graph speed by taking absolute - value of \(v(t)\) values for each \(t\) in \([0,10]\). d. Graph acceleration by finding the s…
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grade 7 · unit 2 · selection test \dark they were, and golden - eyed\ b…
c. Though people often fear and resist it, change is unavoidable in the end.
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the graph of the following function has one relative maximum point and …
The relative maximum is $(-3,28)$ The relative minimum is $(1,-4)$
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the accompanying figure shows the velocity v = \\frac{ds}{dt}=f(t) (m/s…
a. \(t = 5\) b. \(1\leq t\leq4,7\leq t\leq10\) c. (Graphing requires a visual medium. Sketch a graph where speed is non - negative, increasing from \(0\) to a positive value on \(…
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if f(x)=x + sin x, then f(x) = a 1 + cos x b 1 - cos x c cos x d sin x …
A. $1+\cos x$
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the accompanying figure shows the velocity v = ds/dt = f(t) (m/sec) of …
a. The body reverses direction at \(t = 2\) s and \(t = 7\) s. b. It is moving at a constant speed on the intervals \([0,1]\), \([3,4]\), \([5,6]\), \([7,8]\) and \([9,10]\). c. (…
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find the average rate of change between the x = 0 and x = 7.
$-17$
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the accompanying figure shows the velocity v = \\frac{ds}{dt}=f(t) (m/s…
a. $t = 2,4$ b. $4\leq t\leq8$ c. Graph speed by taking the absolute - value of the velocity values at each $t$ in the interval $0\leq t\leq10$. d. Graph acceleration by finding t…
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the volume v = \\frac{4}{3}\\pi r^{3} of a spherical balloon changes wi…
56.55
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topic 4 lesson 3: practice level 2 1. what is a relative minimum? 2. wh…
1. A point where the function value is less than or equal to nearby points. 2. A point where the function value is greater than or equal to nearby points. 3. increasing 4. decreas…
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the volume v = \\frac{4}{3}\\pi r^{3} of a spherical balloon changes wi…
33.93
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the volume $v = \\frac{4}{3}\\pi r^{3}$ of a spherical balloon changes …
a. $36\pi$ b. $10.8\pi$
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the volume v = \\frac{4}{3}\\pi r^{3} of a spherical balloon changes wi…
a. $484\pi$ $\text{in}^3/\text{in}$ b. $151.97$ $\text{in}^3$
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describe the end - behavior of the polynomial function using $lim_{x ig…
D. $\lim_{x\to\infty}f(x)=\infty$ and $\lim_{x\to-\infty}f(x)=-\infty$ because the order of the polynomial, $n = 3$, is odd and the leading coefficient, $1$, is greater than $0$.
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the volume v = \\frac{4}{3}\\pi r^{3} of a spherical balloon changes wi…
a. $484\pi$ b. $48.4\pi$
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describe the end - behavior of the polynomial function using $lim_{x ig…
B. \(\lim_{x ightarrow\infty}f(x)=\infty\) and \(\lim_{x ightarrow-\infty}f(x)=-\infty\) because the order of the polynomial, \(n = 3\), is odd and the leading coefficient, \(1\),…
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a body moves on a coordinate line such that it has a position s = f(t)=…
a. Displacement: 9 m; Average velocity: 1 m/s b. Speeds at endpoints: 8 m/s, 10 m/s; Accelerations at endpoints: 2 m/s², 2 m/s² c. A. The body changes direction at $t = 4$ s.
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if $y = xsin x$, then $\frac{dy}{dx}=$ (a) $sin x+cos x$ (b) $sin x + x…
B. $\sin x + x\cos x$
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a body moves on a coordinate line such that it has a position s = f(t)=…
1
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a body moves on a coordinate line such that it has a position s = f(t)=…
$9$
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graph the function in a viewing window that shows all of its extrema an…
We need the actual graphs to choose from, but based on the end - behavior \(\lim_{x ightarrow\pm\infty}f(x)=+\infty\), we look for a graph that goes up on both the left - hand sid…
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graph the function in a viewing - window that shows all of its extrema …
A. $[-5,5]$ by $[-200,200]$, $\infty$
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for the function $f(x)=2x^{2}-5x - 8$, find the slope of the secant lin…
11
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graph the function in a viewing window that shows all of its extrema an…
A. \([-5,5]\) by \([-200,200]\) \(\lim_{x ightarrow\infty}f(x)=+\infty\)
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11. why is it important to know where a function increases or decreases…
It helps in prediction, optimization, and decision - making. For example, a candle - selling business's profit function behavior with respect to production quantity.
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for the function $f(x)=x^{2}-1$, find the slope of the secant line betw…
$1$
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use the intermediate value theorem to show that f has a zero between a …
\(f(a)=-3\), \(f(b)=3\), since \(f(a)<0\) and \(f(b)>0\)
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10. give an example of a function that is increasing on one interval an…
The function $y = x^{2}$ is decreasing on the interval $(-\infty,0)$ and increasing on the interval $(0,\infty)$.
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for the function $f(x)=x^{2}-4x + 8$, find the slope of the secant line…
$2$
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use the intermediate value theorem to show that f has a zero between a …
\(f(a)=-3\), \(f(b)=5\), since \(f(a)<0\) and \(f(b)>0\)
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question for the function $f(x)=x^{2}+2x + 4$, find the slope of the se…
$-1$
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question for the function f(x) = x^2 - 4, find the slope of the secant …
7
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which enlightenment philosophe was best known for his criticism of chri…
1. B. Voltaire 2. C. Adam Smith 3. A. should have a limited role in the economy
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calculate the limit in the following exercise, using a table. verify yo…
| x | f(x) | |----|----| | 2.9 | 1.678 | | 2.99 | 1.668 | | 2.999 | 1.666 | | 3.001 | 1.667 | | 3.01 | 1.666 | | 3.1 | 1.656 | The limit $\lim_{x ightarrow3}\frac{x^{2}+4x - 21}{x…
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find the maximum vertical distance d between the parabola, f(x)=4x^2 + …
$14.0625$