微積分
極限、導関数、最適化、関数挙動。
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determine whether the following statement is true or false, and explain…
A. The statement is false because the derivative is the average rate of change of $y = f(x)$ with respect to $x$.
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find f(x). f(x)=5x^8 - 14x^5 + 10\\sqrt{x}-\\frac{5}{x^4}+12
$f'(x)=40x^{7}-70x^{4}+5x^{-\frac{1}{2}}+20x^{-5}$
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15. ideas about learning styles for example, the vak (that some people …
15. c. are limited in scope and lack the support of empirical research. 16. True 17. False
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the 22nd amendment the 22nd amendment to the constitution states that “…
B. Logos
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i know this for a fact, because when i was growing up, my mothers \limi…
to inform readers based on her personal experience
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a group of prints that are identical and produced in a limited number i…
e. An edition
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find y if y = 8csc x. y = □
$8(2\csc^{3}x-\csc x)$
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pigment is combined with this binder to make pastels colore pencils inc…
Pigment is combined with this binder to make pastels: Gum arabic Colore pencils include this binder: Wax Silverpoint involves this material: Metal Pencils include this material: G…
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find $\frac{ds}{dt}$. $s = \frac{2+cot t}{2 - cot t}$ $\frac{ds}{dt}=sq…
$\frac{-4\csc^{2}t}{(2 - \cot t)^{2}}$
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find $\frac{ds}{dt}$. $s = t^{4}-3sec t + 5e^{t}$ $\frac{ds}{dt}=square$
$4t^{3}-3\sec t\tan t + 5e^{t}$
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find $\frac{ds}{dt}$. s = 3tan t - $e^{-t}$ $\frac{ds}{dt}=square$
$3\sec^{2}t + e^{-t}$
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find $\frac{dy}{dx}$. $y = 6(cos x+sin x)(cos x - sin x)$ $\frac{dy}{dx…
$- 12\sin2x$
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find $\frac{dy}{dx}$ $y = \frac{1}{cos x}+\frac{1}{\tan x}$ $\frac{dy}{…
$\sec x\tan x - \csc^{2}x$
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find $\frac{dy}{dx}$ for the following function. y = $\frac{5cos x}{1 -…
$\frac{5}{1 - \sin x}$
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find $\frac{dy}{dx}$ for $y = \frac{\tan x}{1+\tan x}$ $\frac{dy}{dx}=s…
$\frac{\sec^{2}x}{(1 + \tan x)^{2}}$
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find $\frac{dy}{dx}$ for $y = \frac{sin x}{cos^{2}x}$. $\frac{dy}{dx}=s…
$\frac{1+\sin^{2}x}{\cos^{3}x}$
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find $\frac{dy}{dx}$ for $y = \frac{sin x}{cos^{2}x}$. $\frac{dy}{dx}=s…
$\frac{1+\sin^{2}x}{\cos^{3}x}$
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find $\frac{dy}{dx}$. $y = 3cos xcot x$ $\frac{dy}{dx}=square$
$-3\cos x\csc^{2}x - 3\cos x$
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find $\frac{dr}{d\theta}$. $r = 6\thetacos\theta+2sin\theta$ $\frac{dr}…
$-6\theta\sin\theta + 8\cos\theta$
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find $\frac{dr}{d\theta}$. $r = 1-\theta^{3}sin\theta$ $\frac{dr}{d\the…
$-3\theta^{2}\sin\theta-\theta^{3}\cos\theta$
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4. state the interval(s) on which the function shown below is concave u…
Concave up: $(-\infty,-1)\cup(2,\infty)$; Concave down: $(-1,2)$
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find $\frac{dy}{dx}$ for $y = 7x^{2}sin x+14xcos x - 14sin x$. $\frac{d…
$7x^{2}\cos x$
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question 18 (1 point) when former president bill clinton said \compete …
C. economic globalization.
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which of the following are risks to the sherpas who work as guides at m…
some climbers have no mountain climbing experience unlimited numbers of climbers waiting to scale the mountain unlimited passes through the Khumbu Icefall, which is prone to avala…
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18. in whitney v. california (1927), the case emphasized: a. freedom of…
18. a. Freedom of speech is vital, even for unpopular opinions 19. c. People with differing views
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19 multiple choice 1 point one of the major developments in healthcare …
19. C. introduction of competition 20. A. making a profit is not always the goal
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find the second derivative of the function. (f(x)=x^{2}+4x^{-3}) (f(x)=)
$2+\frac{48}{x^{5}}$
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suppose both $f$ and $g$ are differentiable with $g(2)=3, g(2)=5$, and …
$h'(2)=52$ $m=-135$ $b = 162$
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find the derivative of $f(x)=sqrt{x^{2}+sqrt{x^{3}+cos(x^{2})}}$. $f(x)…
\(f^{\prime}(x)=\frac{1}{2}[x^{2}+\sqrt{x^{3}+\cos(x^{2})}]^{-\frac{1}{2}}[2x+\frac{1}{2}(x^{3}+\cos(x^{2}))^{-\frac{1}{2}}(3x^{2}-2x\sin(x^{2}))]\) (First option)
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find the derivative of (f(x)=sec(1 + x^{2})). (f(x)=sec(1 + x^{2})\tan(…
$f'(x)=\sec(1 + x^{2})\tan(1 + x^{2})2x$ ### Question 2
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the graph of f(x) is given below. on what interval(s) is the second der…
$(-1,1)$
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question 1 - 1 point consider the graph of f(x) given below. at what va…
Cannot be determined without the graph of \(f^{\prime}(x)\)
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enter an exact answer. provide your answer below: $lim_{x ightarrowinft…
$\frac{1}{2}$
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question 4 · 1 point evaluate the following limit using lhospitals rule…
$0$
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question 6 - 1 point evaluate the following limit using lhospitals rule…
\(\frac{3}{40}\)
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question 7 - 1 point evaluate the following limit using lhospitals rule…
$0$
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question 8 · 1 point evaluate the following limit using lhospitals rule…
\(e^{-\frac{21}{4}}\)
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question 9 · 1 point you have been asked to design a can with a volume …
$r=\sqrt[3]{\frac{336}{\pi}}\text{ cm}$, $h = 2\sqrt[3]{\frac{336}{\pi}}\text{ cm}$
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question 12 - 1 point for the function f(x) given below, evaluate lim x…
$\lim_{x ightarrow\infty}f(x)=-1$ $\lim_{x ightarrow-\infty}f(x)=-1$
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question 14 - 1 point use the first derivative test to find the locatio…
Local maxima occur at $x=-3$. Local minima occur at $x = 0$.
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question 15 - 1 point use the first derivative test to find the locatio…
Local maxima occur at \(x=\frac{\sqrt{6}}{2}\) Local minima occur at \(x=-\frac{\sqrt{6}}{2}\)
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question 16 · 1 point consider the function f(x) below. over what open …
\((3,\infty)\)
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question 18 - 1 point an open - top box is to be made from a 12 - inch …
$867.45$
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question 19 · 1 point for the function (f(x)) given below, evaluate (li…
$\lim_{x ightarrow\infty}f(x)=-\frac{1}{2}$, $\lim_{x ightarrow-\infty}f(x)=\infty$
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question 2 - 1 point consider the function f(x) below. at what value(s)…
$0,\frac{\sqrt{10}}{5},-\frac{\sqrt{10}}{5}$
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evaluate the indefinite integral. int (6 - 7z)e^{-z} dz square + c
$(7z + 1)e^{-z}$
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suppose that f(1)=4, f(4)=8, f(1)=6, f(4)=5, and f is continuous. find …
$10$
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evaluate the integral, using integration by parts. $int\frac{ln x}{x^{4…
$-\frac{\ln x}{3x^{3}}-\frac{1}{9x^{3}}+C$
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question find the critical points of the function (f(x)=\frac{x - 6}{x^…
$3 - 2\sqrt{2},3 + 2\sqrt{2},5,7$
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question: consider the function f(x)=ln(3x + 8) over the interval 1,7. …
Yes
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question consider the function (f(x)=\frac{3}{sqrt{25 - x^{2}}}) over t…
Yes
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question find the differential (dy) of the function (y = \frac{-2x^{3}-…
$\frac{-8x^{3}+18x^{2}+12}{(2x - 3)^{2}}$
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question. find the differential $dy$ of the function $y=\frac{-4x^{3}-1…
$\frac{-40x^{3}+24x^{2}+50}{(5x - 2)^{2}}$
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question find the differential dy of the function y = 3x^4+2x^2 + 1. pr…
$12x^3 + 4x$
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question find the differential (dy) of the function (y = \frac{4 - 3x^{…
$\frac{30x^{3}-45x^{2}+20}{(5 - 5x)^{2}}$
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question find (dy) and evaluate when (x = - 3) and (dx = 0.4) for the f…
$-0.54$
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question: find (dy) and evaluate when (x = 3) and (dx=0.4) for the func…
$dy=-21.6$
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question find the differential (dy) of the function (y=\frac{-2x^{3}-6}…
$\frac{8x^{3}-18x^{2}-12}{(-2x^{3}-6)^{2}}$
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question find the differential dy of the function y = 3x^6+4x^3 + 3x^2 …
$18x^5+12x^2 + 6x$
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question a tank is shaped like an upside - down square pyramid, with ba…
$0.9$ m/sec
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a vertical cylinder is leaking water at a rate of 4 m³/sec. if the cyli…
$-\frac{1}{\pi}$ m/sec
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water is draining from the bottom of a cone - shaped funnel at the rate…
$-\frac{9}{125\pi}\text{ ft/sec}$
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question: the base of a triangle is shrinking at a rate of 9 cm/s and t…
$-44.5$ cm²/s
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the base of a triangle is shrinking at a rate of 5 cm/s and the height …
$-12$ cm$^{2}$/s
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question. if (z^{2}=x^{3}+y^{2}), (\frac{dx}{dt}=-2), (\frac{dy}{dt}=-3…
$-6$
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question. if $z^{3}=x^{3}+y^{2}$, $\frac{dx}{dt}=3$, $\frac{dy}{dt}=2$,…
$3$
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question: if y = 2x^2 + 13 and dx/dt=-2, find dy/dt at x = - 5. provide…
$\frac{1}{40}$
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question. if (y = - 5x^{2}-15) and (\frac{dx}{dt}=3), find (\frac{dy}{d…
$\frac{1}{30}$
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question: if (y = x^{4}-4) and (\frac{dx}{dt}=-8), find (\frac{dy}{dt})…
$\frac{1}{2048}$
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question: if (y = x^{2}+5) and (\frac{dx}{dt}=-2), find (\frac{dy}{dt})…
0
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question suppose that the length l, width w, and area a = lw of a recta…
$\frac{dA}{dt}=4\frac{dl}{dt}+8\frac{dw}{dt}$
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question suppose that the length $l$, width $w$, and area $a = lw$ of a…
$w\frac{dl}{dt}+l\frac{dw}{dt}$
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the length of a rectangle is increasing at a rate of 3 cm/hr and its wi…
$76\frac{cm^{2}}{hr}$
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question: a pebble is dropped into a calm pond, causing ripples in the …
$12.57$
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a trough has ends shaped like isosceles triangles, and has a length of …
$\frac{2}{9}$ m/min
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calculx: a. $(ln5x^{3}+6)$ b. $log_{5}x^{2}-2x$ c. $(sqrt{5}x - 6)$ d. …
A. $\frac{15x^{2}}{5x^{3}+6}$ B. $\frac{2x - 2}{(x^{2}-2x)\ln 5}$ C. $\sqrt{5}$ D. $0$
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question: the volume of a cube increases at a rate of 5 m³/sec. find th…
$\frac{5}{192}$ m/sec
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question if (y = - 5x^{2}-15) and (\frac{dx}{dt}=3), find (\frac{dy}{dt…
$\frac{1}{30}$
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question: if (y = - 5x^{2}-15) and (\frac{dx}{dt}=3), find (\frac{dy}{d…
$\frac{1}{30}$
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question. suppose that the length $l$, width $w$, and perimeter $p$ of …
$8$
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question suppose that the length l, width w, and area a = lw of a recta…
$\frac{dA}{dt}=l\frac{dw}{dt}+w\frac{dl}{dt}$
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how does the constitution limit the power of the president as commander…
It grants power to declare war to Congress.
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in the early 1900s, the national association for the advancement of col…
A. overturn Jim Crow laws, D. punish lynch mobs
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directions: determine period, vertical shift, and asymptotes for each o…
Period: \(\pi\) Reflection: no Vertical Shift: 0 up or down Asymptotes: \(x =-\frac{\pi}{4}\) and \(x=\frac{3\pi}{4}\) Key - points: \((\frac{\pi}{4},0),(\frac{\pi}{2},2),(0, - 2)…
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find r(t), r(t_0), and r(t_0) for the given value of t_0. then sketch t…
$\mathbf{r}^\prime(t)=\mathbf{i}+2t\mathbf{j}+\frac{5}{4}\mathbf{k}$, $\mathbf{r}(t_0)=2\mathbf{i}+4\mathbf{j}+\frac{5}{2}\mathbf{k}$, $\mathbf{r}^\prime(t_0)=\mathbf{i}+4\mathbf{…
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find r(t), r(t_0), and r(t_0) for the given value of t_0. r(t)=(4 + t)i…
\(r(t)=(4 + t)\mathbf{i}+t^{3}\mathbf{j}\), \(r(1)=5\mathbf{i}+\mathbf{j}\), \(r^{\prime}(1)=\mathbf{i}+3\mathbf{j}\)
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find r(t), r(t_0), and r(t_0) for the given value of t_0. r(t)=(4 + t)i…
$\mathbf{r}'(t)=\mathbf{i}+2t\mathbf{j}$, $\mathbf{r}(t_0)=\mathbf{r}(1)=5\mathbf{i}+\mathbf{j}$, $\mathbf{r}'(t_0)=\mathbf{r}'(1)=\mathbf{i}+2\mathbf{j}$
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with others if they so choose. faye recommends that creating a code of …
- Instructions on how to communicate with one another respectfully - The expectation that all are welcome, regardless of differences
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find $\frac{d}{dt}mathbf{r}(t)cdotmathbf{u}(t)$ and $\frac{d}{dt}mathbf…
$\frac{d}{dt}[\mathbf{r}(t)\cdot\mathbf{u}(t)] = 7t^{6}$; $\frac{d}{dt}[\mathbf{r}(t)\times\mathbf{u}(t)]=54t^{5}\mathbf{i}-4t^{3}\mathbf{j}$
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enter a letter and a number for each formula below so as to define a co…
1. b, 1 2. D, - 6 3. a, 3 4. c, 0 (This one seems to be incorrect in the initial setup as the analysis above shows the correct matches are as per the re - analysis. The correct ma…
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assignment 3: problem 25 (1 point) use factoring to calculate this limi…
$\frac{3}{5a^{2}}$
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use the squeeze theorem to evaluate the limit $lim_{x ightarrow8}f(x)$,…
64
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assignment 3: problem 2 (1 point) find $lim_{x ightarrow0^{+}}sqrt{x}e^…
$0$
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assignment 3: problem 20 (1 point) suppose 4x - 20 ≤ f(x) ≤ x² - 4x - 4…
-4 Squeeze Theorem
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for what value of the constant c is the function f continuous on the in…
$4$
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let f(x)=\begin{cases}b - 2x&\text{if }x<2\\-\frac{24}{x - b}&\text{if …
$8$
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let (f(x)=\begin{cases}b - 2x&\text{if }xlt2\\\frac{24}{x - b}&\text{if…
$3+\sqrt{41}$
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find the value of the constant m that makes the following function cont…
$-3$
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a function f(x) is said to have a jump discontinuity at x = a if: 1. li…
$\lim_{x\to8^{-}}f(x)=121$, $\lim_{x\to8^{+}}f(x)=-52$
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a function f(x) is said to have a jump discontinuity at x = a if: 1. li…
$\lim_{x\to3^{-}}f(x)=5$, $\lim_{x\to3^{+}}f(x)=\frac{4}{9}$