微积分
极限、导数、最优化与函数性质。
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describe the method used to integrate sin³x. choose the correct answer …
D. Rewrite $\sin^{3}x$ as $(1 - \cos^{2}x)\sin x$, then use the substitution $u = \cos x$.
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f(x)=(\begin{cases}\frac{1}{x}&\text{for }xgeq1\\3x + c&\text{for }x<1e…
(b) If \(c=-2\), then \(f(x)\) is continuous at for all \(x\in(-\infty,\infty)\).
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let f(x) be the function given below. f(x)=\begin{cases}\frac{1}{x}&\te…
$-2$
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if $f(x)=4x+\frac{5}{x}$, find $f(-3)$, using the definition of derivat…
$f^{\prime}(-3)=-\frac{31}{3}$; The equation of the tangent line is $y =-\frac{31}{3}x-\frac{134}{3}$
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if (f(x)=4x+\frac{5}{x}), find (f(-3)), using the definition of derivat…
The value of the limit is $\frac{31}{9}$
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if (f(x)=4x+\frac{5}{x}), find (f(-3)), using the definition of derivat…
The value of $f'(-3)$ is $\frac{31}{9}$ and the equation of the tangent line is $y=\frac{31}{9}x-\frac{10}{3}$
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hw 12 - higher order derivatives section 2.7: problem 11 (1 point) the …
(a) $v(t)=4t^{3}-144t$, $a(t)=12t^{2}-144$ (b) Position (ft): $121$, Velocity (ft/sec): $-220$, Acceleration (ft/sec²): $156$
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state the half - angle identities used to integrate sin²x and cos²x. th…
$\sin^{2}x=\frac{1-\cos(2x)}{2}$, $\cos^{2}x=\frac{1 + \cos(2x)}{2}$
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hw 12 - higher order derivatives section 2 (1 point) let $f(x)=\frac{9x…
$f^{\prime}(x)=\frac{18}{(2 - 5x)^{2}}$ $f^{\prime\prime}(x)=\frac{180}{(2 - 5x)^{3}}$
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let f(x)=\begin{cases}4x - 6x^{2}&\text{for }x < 0,\\8x^{2}+4x&\text{fo…
The left - hand limit is $\lim_{x ightarrow0^{-}}\frac{4x - 6x^{2}-0}{x}$, which is $4$. The right - hand limit is $\lim_{x ightarrow0^{+}}\frac{8x^{2}+4x-0}{x}$, which is $4$. $f…
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hw 12 - higher order derivatives section 2.7: probl (1 point) suppose (…
$f^{\prime}(t)=\frac{13t}{\sqrt{13t^{2}+15}}$, $f^{\prime\prime}(t)=\frac{195}{(13t^{2}+15)^{\frac{3}{2}}}$
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hw 12 - higher order derivatives section 2.7: problem 8 (1 point) suppo…
$f^{\prime}(t)=\frac{8t}{\sqrt{8t^{2}+3}}$ $f^{\prime\prime}(t)=\frac{24}{(8t^{2}+3)^{\frac{3}{2}}}$
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let (f(x)=-7 - 8sqrt{x}). then the expression (\frac{f(x + h)-f(x)}{h})…
\(A=-8\) \(B = 1\) \(C = 1\) \(\lim_{h ightarrow0}\frac{f(x + h)-f(x)}{h}=-\frac{4}{\sqrt{x}}\) \(f^{\prime}(1)=-4\) \(f^{\prime}(2)=-2\sqrt{2}\) \(f^{\prime}(3)=-\frac{4\sqrt{3}}…
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assignment 4: problem 14 (1 point) let (f(x)=\begin{cases}x^{2}-4x&xleq…
12
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hw 12 - higher order derivatives section 2. (1 point) let $f(x)=(3x + 2…
$f^{\prime}(x)=18(3x + 29)^{5}$ $f^{\prime\prime}(x)=270(3x + 29)^{4}$
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hw 12 - higher order derivatives section 2. (1 point) calculate the sec…
$y''=-\frac{6}{x^{3}}$ $y'''=\frac{18}{x^{4}}$
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assignment 4: problem 13 (1 point) let $f(x)=-3x^{2}$. a) find $f(x + h…
a) \(-3x^{2}-6xh - 3h^{2}\) b) \(-6xh-3h^{2}\) c) \(-6x - 3h\) d) \(-6x\)
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land improvements are: multiple choice additions that increase the usef…
# Brief Explanations: Land improvements are enhancements to land that have a limited - useful life. For example, sidewalks, driveways, and fences. They are not part of the land it…
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(1 point) the point $p(16,6)$ lies on the curve $y = \\sqrt{x}+2$. let …
When $x = 16.1$, the slope of $PQ$ is $0.124800$. When $x = 16.01$, the slope of $PQ$ is $0.125000$. When $x = 15.9$, the slope of $PQ$ is $0.125200$. When $x = 15.99$, the slope …
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hw 12 - higher order derivatives section 2.7: problem 4 (1 point) calcu…
$y' = 24x^{7}-36x^{5}+12x^{3}$, $y'' = 168x^{6}-180x^{4}+36x^{2}$, $y''' = 1008x^{5}-720x^{3}+72x$, $y^{(4)}=5040x^{4}-2160x^{2}+72$
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hw 12 - higher order derivatives section 2.7: problem 3 (1 point) calcu…
$y'' = 12x^{2}-14$ $y''' = 24x$
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let ( f(x)=x^{3}-14x ). calculate the difference quotient ( \frac{f(3 +…
13
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hw 12 - higher order derivatives section 2.7: problem 2 (1 point) calcu…
$y'' = 60x^{2}-10$ $y''' = 120x$
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hw 12 - higher order derivatives section 2.7: problem 1 (1 point) reduc…
A. $\frac{11}{4x^{5}}$
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multiple choice 2 points question topic(s)/section(s): 2.5 applying the…
$\frac{29}{8}$
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question topic(s)/section(s): 2.7 derivatives of cos(x), sin(x), e^x, a…
-3
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ordenar unlimited attempts left due october 6th 11:59 pm put these time…
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 dos de la tarde. 5. Son las seis menos cuarto de la tarde…
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multiple choice 2 points question topic(s)/section(s): 1.11 defining co…
D. 1
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ordenar unlimited attempts left due october 6th 11:59 pm put these time…
Son las ocho y veintidós de la mañana, Son las once de la mañana, Son las dos menos diez de la tarde, Son las dos de la tarde, Son las seis menos cuarto de la tarde, Son las siete…
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assignment 4: problem 10 (1 point) find a and b such that the function …
$a=-8$ $b=-2$
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on a separate piece of paper, sketch the graph of the parabola y = x^2+…
$2\sqrt{3}$
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under 1920s immigration acts, limits on immigration were introduced bas…
B. nationality
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assignment 4: problem 7 (1 point) if $f(x)=3sqrt{x}(x^{3}-3sqrt{x}+6)$,…
$10745.25$
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assignment 4: problem 6 (1 point) let $f(x)=3+\frac{2}{x}+\frac{6}{x^{2…
$f^\prime(x)=-\frac{2}{x^{2}}-\frac{12}{x^{3}}$ $f^\prime(2)=-2$
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question topic(s)/section(s): 2.9 the quotient rule click the timer to …
2
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the work of registering the lapwai indians drags its slow length along.…
The Nez Perce wanted to continue their former lifestyle of moving freely throughout their reservation. The Nez Perce opposed the Dawes Act because of their principles. The Nez Per…
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assignment 4: problem 5 (1 point) let $f(x)=\frac{5x^{2}+6x + 5}{sqrt{x…
$f^{\prime}(x)=\frac{15}{2}x^{\frac{1}{2}}+3x^{-\frac{1}{2}}-\frac{5}{2}x^{-\frac{3}{2}}$ $f^{\prime}(4)=\frac{259}{16}$
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assignment 4: problem 4 (1 point) let $f(x)=-4x^{5}sqrt{x}+\frac{-7}{x^…
$-22x^{\frac{9}{2}}+\frac{35}{2}x^{-\frac{7}{2}}$
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for what values of a and b is the line 5x + y = b tangent to the curve …
$a=-\frac{5}{4}$, $b = 5$
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math 1111 - 08 > assignments > test 2 (chapter 3) test 2 (chapter 3) ca…
3,5
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to conserve fuel and save lives, the national speed limit of 55 miles p…
persuade drivers to slow down
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find the zeros and their multiplicities. consider using descartes rule …
The zeros of \(f(x)\) are \(0\) with multiplicity \(4\), \(2 + 3i\) with multiplicity \(1\), and \(2 - 3i\) with multiplicity \(1\).
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find the zeros and their multiplicities. consider using descartes rule …
0 (multiplicity 4)
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find the zeros and their multiplicities. consider using descartes rule …
The multiplicity of \(3\) is \(1\). The multiplicity of \(\frac{1}{3}\) is \(1\). The multiplicity of \(1 + 2i\) is \(1\). The multiplicity of \(1 - 2i\) is \(1\).
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find the zeros and their multiplicities. consider using descartes rule …
# Explanation: ## Step1: Recall factor - zero relationship[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]
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review the text. good study habits train your brain for success. applyi…
The author outlines a series of best practices to follow to improve study habits.
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how did the bill of rights limit the monarchs power? * by preventing th…
By preventing the king from suspending or dispensing laws
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average rate of change of $g(x)$ between $x = 4$ and $x = 7$ is $\frac{…
$\frac{g(7)-g(4)}{7 - 4}=\frac{5}{6}$
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which of these statements describes nativism? check all the boxes that …
- Nativists viewed immigrants as a cultural and economic threat. - Nativists didn't believe immigrants could adopt US culture and values. - Nativists pressured politicians to limi…
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knowledge check which of the following is important to consider when ha…
C. Additional weight and size can impact safety, D. Proper vehicle maintenance is crucial
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question 1 of 10 (1 point) | question attempt: 1 of unlimited (a) how m…
(a) $80 (b) $80
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part 3: drawing conclusions - individualism poems: \they shut me up in …
1. she feels trapped as people try to control her creativity. 2. she portrays it as self - sufficient, being its own "friend" or "spy". 3. the mind; even when society limits her, …
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determine the interval(s) on which the function (y(t)=e^{-\frac{t^{2}}{…
$(-1,1)$
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page 126 5.1. define deviance and explain how it is a social construct.…
Alcoholism: stigmatization and medicalization Depression: stigmatization and medicalization Plagiarizing someone else's writing: stigmatization and criminalization Breaking the sp…
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multiple choice question a purely competitive firm can maximize its eco…
is a price taker
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many elevators have a capacity of 3000 pounds. complete parts (a) throu…
The point \((50,10)\) satisfies the over - loading condition. The coordinates represent that when 50 children and 10 adults are in the elevator, the elevator is overloaded.
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many elevators have a capacity of 3000 pounds. complete parts (a) throu…
Graph a dashed line $y=-0.6x + 30$ with x - intercept $(50,0)$ and y - intercept $(0,30)$ and shade the region above the line in the first quadrant.
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many elevators have a capacity of 4000 pounds. complete parts (a) throu…
The point \((50,10)\) satisfies the inequality. The coordinates represent the fact that when 50 children and 10 adults are in the elevator, the elevator is overloaded.
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a patient is not allowed to have more than 660 milligrams of cholestero…
C.
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what was the original purpose of the ss? to eliminate german unions to …
to punish communists
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which statement describes the graph of $f(x)=-x^{4}+3x^{3}+10x^{2}$? th…
The graph touches the $x$-axis at $x = 0$ and crosses the $x$-axis at $x = 5$ and $x=-2$.
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essay 2 points in your own words, what does the word constraint mean in…
In math, a constraint is a condition or limitation on variables. An example in everyday life is a monthly grocery budget of $500 limiting food - buying choices.
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who stated, in the new code of laws which i suppose it will be necessar…
D. Abigail Adams
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name the case that established the supreme courts power of judicial rev…
1. Marbury v. Madison 2. A judicial philosophy where judges limit their power, defer to elected - branches, and are cautious with precedent - overturning.
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13. the courts power to interpret the constitution and the laws is the …
13. judicial review 14. judicial activism
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question 23 1 pts a __________ is an organization that is owned and con…
A. cooperative
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a patient is not allowed to have more than 300 milligrams of cholestero…
A.
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question 18 blake owns a business that installs hardwood flooring. the …
A. sole proprietorship
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consumers want a firms ethical behavior to _______. go beyond the legal…
Question 1: go beyond the legal limits of the law Question 13: employees learn by observing what management does
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the function graphed above is: increasing on the interval(s) decreasing…
Increasing intervals: \((-\infty,-1)\) and \((1,\infty)\); Decreasing interval: \((-1,1)\)
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entrevista 2 attempts left late due september 22nd 11:59 pm completa la…
REPORTERO: Está todo preparado para poder comenzar? CLAUDIA: Estoy orgullosa de la variedad de su programa de hoy. Es un éxito! REPORTERO: Diganos, Claudia, ¿es usted una persona …
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completa la entrevista entre un reportero y una organizadora de eventos…
1. comenzar 2. cumplir con todos los puntos 3. logro 4. fe 5. de fe 6. anda 7. penitente
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a patient is not allowed to have more than 270 milligrams of cholestero…
D. (assuming that graph D is the one that matches the above - described characteristics)
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13. a phone company offers two options. the first plan is an unlimited …
When the number of call - minutes in a month is greater than 350, the unlimited plan is a better deal.
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compute the derivative of the following function. f(x)=5xe^{6x} f(x)=□
\(5e^{6x}(1 + 6x)\)
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quiz instructions this 2.06 quiz focuses on operations on scientific no…
$1.75\times10^{-15}$
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world history b (15341) background information: in the immediate afterm…
The city had turned into an unfamiliar wasteland, and many people were gone.
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quiz instructions this 2.06 quiz focuses on operations on scientific no…
$3\times10^{-6}$
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let h(x)=f(g(x)) and p(x)=g(f(x)). use the table to compute the followi…
$h^{\prime}(4)=-\frac{54}{7}$ $p^{\prime}(2)=-5$
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use implicit differentiation to find $\frac{dy}{dx}$. 7xy + y² = 6x + y…
$\frac{6 - 7y}{7x+2y - 1}$
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a. use implicit differentiation to find $\frac{dy}{dx}$. b. find the sl…
a. $\frac{dy}{dx}=\frac{1}{y^{3}}$ b. $\frac{1}{64}$
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a. use implicit differentiation to find $\frac{dy}{dx}$ b. find the slo…
a. $\frac{dy}{dx}=\frac{1}{y^{3}}$ b. $\frac{1}{64}$
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an equation relating the variables x and y, the values of x and y, and …
$-\frac{40}{3}$
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content: review of power rule, quotient rule, derivative of trig functi…
$f'(x)=6x^{5}g(x)+x^{6}g'(x)$
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calculate the derivative of the following function. y = sin (9 cos x) $…
$-9\sin x\cos(9\cos x)$
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question 3 find the derivative of the function. f(x) = 7cosx - 4x - 1 -…
$- 7\sin x - 4$
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a. verify that the given point lies on the curve. b. determine an equat…
a. When $x=\frac{\pi^{2}}{5}$ and $y = \pi$, $3\sin y+5x=\pi^{2}$ and $y^{2}=\pi^{2}$. The answer is A. Yes, because the values found for each side of the equation are equal. b. T…
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a. verify that the given point lies on the curve. b. determine an equat…
a. A. Yes, because the values found for each side of the equation are equal. b. A. The point $(\frac{\pi^{2}}{5},\pi)$ lies on the curve. The equation of the tangent line is $y=\f…
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determine any inflection points for the function f(t)=3t^{2}-6e^{t}. en…
$(0,-6)$
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an equation relating the variables x and y, the values of x and y, and …
$-\frac{40}{3}$
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quiz 7 - requires respondus lockdown browser + we started: oct 6 at 6:5…
- 7 sin x - 4
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determine the interval(s) on which the function (f(x)=\frac{18}{x^{5}})…
$(-\infty,0)$
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calculate the derivative of the following function $y = 5(7x^{2}+6)^{-4…
$-280x(7x^{2}+6)^{-5}$
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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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multiple choice questions: choose the correct answer from the choices f…
1. b) Unitary 2. b) Federal 3. b) Locke 4. b) Parliamentary 5. a) Three - Fifths Compromise 6. b) Magna Carta 7. b) Oligarchy
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find the exact location of all the relative and absolute extrema of the…
$f$ has an absolute minimum at $(x,y)=(\ln(2.3),2.3 - 2.3\ln(2.3))$ (smallest $x$-value among relevant extrema in the domain). $f$ has an absolute maximum at $(x,y)=(1,e - 2.3)$ (…
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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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find the average rate of change for the function between the given valu…
17) 76 18) 12
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the function y = f(x) is graphed below. what is the average rate of cha…
The average rate of change is $\frac{f(6)-f(4)}{2}$, where $f(4)$ and $f(6)$ are the $y$ - values of the function $y = f(x)$ at $x = 4$ and $x = 6$ respectively, estimated from th…