Calculus
Limits, derivatives, optimization, and behavior of functions.
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find the derivative of the function y = (csc x + cot x)^(-1). \frac{dy}…
$\frac{\csc x}{\csc x+\cot x}$
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find the derivative of the function y = √(-8 + 9x). \frac{dy}{dx}=square
$\frac{9}{2\sqrt{-8 + 9x}}$
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current attempt in progress use the figure to fill in the blanks in the…
(a) $f(7)=3$ (b) $f^{\prime}(7)=4$
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for the function shown in the figure below, at what labeled points is t…
Positive slope at $C$ and $D$. Negative slope at $B$ and $F$. Greatest slope at $D$. Least slope at $F$.
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current attempt in progress in a time of (t) seconds, a particle moves …
(i) $12.6$ (ii) $12.06$ (iii) $12.006$ (b) $12$
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current attempt in progress (a) using the table below, find the average…
(a) The average rate of change is approximately $0.082$ billion people per year. (b) $f'(2012)=0.125$ billion people per year.
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for the function shown in the figure below, at what labeled points is t…
Positive slope at \(A\) and \(D\). Negative slope at \(B\), \(E\) and \(F\). Greatest slope at \(D\). Least slope at \(F\).
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current attempt in progress the position s of a car at time t is given …
(a) 1.5 ft/sec (b) 6.5 ft/sec (c) 4 ft/sec
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the figure below shows n = f(t), the number of farms in the us¹ between…
(a) negative; decreasing (b) $f^{\prime}(1960)$ (c) negative; decreasing
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let s = f(t) give an object’s height, in feet, above the ground t secon…
(a) $f(3)=100$ (b) $f^{\prime}(3)=14$
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question 1. which of the following fields is an example of natural scie…
D. both physiological psychology & behavioral neuroscience
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the karamazov ninjas by j. robbins the sound of ninja warriors doing ba…
A. Dmitri had tumbled backward into a giant potted plant. I sighed and shook my head. There wasn't enough money in the world to make babysitting the Karamazov ninjas worthwhile.
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question 5 (2 points) in the context of the auditory system, ______ was…
Question 5: the volley principle Question 6: loudness
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16. differentiate $g(x)=sqrt{x}ln(x - 3)$ answer: $g(x)=$
$\frac{\ln(x - 3)}{2\sqrt{x}}+\frac{\sqrt{x}}{x - 3}$
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the sun and the moon there was hardly a time when the sun did not boast…
B. third person omniscient
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attempt 1: 10 attempts remaining. the number of hats made by a manufact…
\(4090.26\)
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attempt 1: 10 attempts remaining. find the derivative y of the function…
$2-\ln(z)$
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16. differentiate $g(x)=sqrt{x}ln(x - 3)$ answer: $g(x)=$
$\frac{\ln(x - 3)}{2\sqrt{x}}+\frac{\sqrt{x}}{x - 3}$
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15. differentiate y=(x² - 5)lnx answer: $\frac{dy}{dx}=$
$x-\frac{5}{x}+2x\ln x$
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attempt 1: 10 attempts remaining. let $f(x)=5x^{2}ln x$. $f(x)=$
$10x\ln x + 5x$
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13. find the derivative. f(x)=(2e^x + x)(2e^x - x); f(x)=
$8e^{2x}-2x$
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in \its only fair,\ the point of view is first person, from maritzas po…
first person, from Maritza's point of view.
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7 this quotation is from the tenth amendment of the bill of rights. \th…
C. protect the powers of the state governments
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let $y=\frac{x^{2}+2x}{4 - 5x}$. what is the value of $\frac{dy}{dx}$ a…
$\frac{1}{9}$
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let y = x/sin(x). dy/dx =
$\frac{x\cos(x)-\sin(x)}{x^{2}}$
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let $y = \\frac{\\cos(x)}{x^{3}}$. $\\frac{dy}{dx}=$
$\frac{-x\sin(x)-3\cos(x)}{x^{4}}$
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let (y = \frac{cos(x)}{x^{3}}). (\frac{dy}{dx}=square)
$\frac{3x^{2}\cos(x)+x^{3}\sin(x)}{\cos^{2}(x)}$
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attempt 1: 10 attempts remaining. let $f(x)=(5x - 8x^{3})(3+sqrt{x})$. …
$15+\frac{15}{2}\sqrt{x}-72x^{2}-28x^{\frac{5}{2}}$
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let f be the function below. if you are having a hard time seeing the p…
a) Let's assume from the graph, if as $x ightarrow - 1^{-}$, $F(x)$ approaches $0$, then $\lim_{x ightarrow - 1^{-}}F(x)=0$. b) If as $x ightarrow - 1^{+}$, $F(x)$ approaches $0$,…
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the following table lists the values of functions f and g, and of their…
$5$
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let f be a function such that f(2)=3 and f(2)= - 1. let g be the functi…
$8$
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the following table lists the values of functions g and h, and of their…
$-14$
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16. use patterns and structure jeffrey purchased a card for $180 that g…
$C = 165-8.25n$, where $C$ is the balance on the card and $n$ is the number of visits. The cost per visit is $8.25$ dollars and the one - time sauna fee is $15$ dollars.
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if $f(t)=(t^{2}+4t + 5)(3t^{-3}+5t^{-2})$, find $f(t)$. $f(t)=$
$-\frac{23}{t^{2}}-\frac{74}{t^{3}}-\frac{45}{t^{4}}$
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let $h(x)=x^{3}+7e^{x}$. $h(x)=square$
$3x^{2}+7e^{x}$
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derivative of $e^x$ related content $\frac{d}{dx}7cos(x)+3e^x=$
$-7\sin(x)+3e^{x}$
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differentiate: v(x)=(2x^3 - 6)(x^4 - 6x) v(x)=
$14x^{6}-72x^{3}+36$
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related content derivative of $e^x$ $\frac{d}{dx}2cos(x)-3ln(x)-1=$
$-2\sin(x)-\frac{3}{x}$
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a. find the derivative of g(x)=(8x - 1)(3x + 7) g(x)= b. what is the sl…
a. $g^{\prime}(x)=48x + 53$ b. Slope at $x=-2$: $-43$
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let (g(x)=3x^{4}-7ln(x)). (g(x)=square)
$12x^3-\frac{7}{x}$
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if $f(x)=(x - 2)(6x - 4)$, find $f(x)$. $f(x)=$
$12x - 16$
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let $f(x)=\frac{1}{x}e^{x}$. find $f(x)$. choose 1 answer: (a) $\frac{1…
B. $e^{x}(\frac{1}{x}-\frac{1}{x^{2}})$
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product rule related content $\frac{d}{dx}(x^{3}sin(x))=$
\(3x^{2}\sin(x)+x^{3}\cos(x)\)
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let $h(x)=sqrt{xln(x)}$. find $h(x)$.
$h^\prime(x)=\frac{\ln(x)+1}{2\sqrt{x\ln(x)}}$
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let (f(x)= - 4sin(x)-9ln(x)+11). (f(x)=square)
$-4\cos(x)-\frac{9}{x}$
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$$\frac{d}{dx}(x - 8)sin(x) = square$$
$8\cos(x)-1$
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let ( h(x)=9cos(x)-7x^{2}). ( h(x)=square) worked example: derivatives …
$-9\sin(x)-14x$
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let (f(x)=7sin(x)-2x^{3}). (f(x)=square) worked example: derivatives of…
$7\cos(x)-6x^{2}$
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multiple choice question stockholders liability for losses only up to t…
B. limited liability
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worked example: derivatives of sin(x) and cos(x) related content ab uni…
$-3\sin(x)+8x$
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multiple choice question unlimited liability as it relates to sole prop…
losing your personal assets
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multiple choice question when there is one or more general partners and…
C. limited partnership
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write an equation of the line tangent to the graph of $f(x)=3x^{3}+8x^{…
$y = 4x+16$
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select all that apply what are three advantages to a sole proprietorshi…
Ease of starting the business, Pride of ownership, Ability to be your own boss
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which of the following is an equation of the line tangent to the graph …
B. \(y = 8x-5\)
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as the head of the marketing department, jody works with others on comp…
D. narrow
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write an equation of the line tangent to the graph of (g(x)=x^{3}-6x) a…
$y = 6x-16$
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which of the following is an equation of the line tangent to the graph …
C. \(y = 2x-1\)
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multiple choice question the disadvantage of sole proprietorships is th…
unlimited liability
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write an equation of the line tangent to the graph of (g(x)=x^{2}+5x - …
$y=-x - 12$
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multiple choice question in a sole proprietorship, any debts or damages…
B. unlimited liability
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let $h(x)=\frac{1}{x^{3}}-\frac{2}{x^{2}}$. $h(-1)=square$
2
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what is the value of $\frac{d}{dx}(2x^{2}-6x + 5)$ at $x=-4$? choose 1 …
D. - 22
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what is the value of $\frac{d}{dx}(2x^{4}+x^{3}+3x^{2})$ at $x = - 1$? …
C. - 11
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the reasoning below is... claim instead of limiting the use of electron…
Weak Reasoning: Doesn't Connect the Evidence to the Claim
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1. personal connections which poem affected you the most? why? comprehe…
1. Answers will vary based on personal experience with a poem. 2. (a) Analyze the text of "Blind" to understand the woman's gain of sight and its implications. (b) Look at the tex…
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$\\frac{d}{dx}(x^{6}+3x^{4}+7x^{2})=$
$6x^5+12x^3 + 14x$
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let $h(x)=3x^{4}-5x^{3}+2x^{2}$. find $h(-1)$. choose 1 answer: a -9 b …
C. - 31
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what actions has the government taken to protect the environment?
Common government actions to protect the environment include enacting environmental regulations (e.g., setting limits on industrial emissions), promoting the use of renewable ener…
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rainsford, reclining in a steamer chair, indolently puffed on his favor…
third - person limited
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h(x)=2f(x)-3g(x)+5 h(4)=square x f(x) g(x) f(x) g(x) 4 - 4 13 0 8
$-24$
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the following table lists the value of functions f and h, and their der…
$12$
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the following table lists the value of functions g and h, and of their …
\(-105\)
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the following table lists the value of functions f and g, and their der…
30
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what is the value of $\frac{d}{dx}left(\frac{1}{x} ight)$ at $x = 6$? y…
$-\frac{1}{36}$
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d/dx (√x) = □ power rule (with rewriting the expression)
$\frac{1}{4}x^{-\frac{3}{4}}$
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related content power rule (with rewriting the expression) $\frac{d}{dx…
$- \frac{9}{x^{10}}$
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what is the value of $\frac{d}{dx}(sqrt5{x^{2}})$ at $x = 32$? you migh…
$\frac{1}{20}$
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read the quotation from song of myself. you will hardly know who i am o…
One should keep striving, even in the face of adversity
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read the excerpts from ovids pyramus and thisbe and shakespeares romeo …
Both works show a marriage denied; only Shakespeare mentions families.
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show how to use the intermediate value theorem to show that the equatio…
$0$
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5. for the function f whose graph is given, state the value of each qua…
(a) $\lim_{x ightarrow1}f(x)=3$ (b) $\lim_{x ightarrow3^{-}}f(x)=4$ (c) $\lim_{x ightarrow3^{+}}f(x)=2$
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assume arrows if no symbols are shown at the ends of the graph. state y…
a. $(3,5)$ b. $(8,1)\cup(5,\infty)$ c. $(-\infty,8)\cup(1,3)$ d. $(-\infty,\infty)$ e. $(-\infty,\infty)$ f. $(5,5)$ g. $(8,-4)$
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list the points in the graph in the interval 0 < x < 6 at which the fun…
2, 4
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given $f(x)=(4x^{3}-8x^{2}+3x - 6)^{20}$, find $f(x)$. $f(x)=$
$20(4x^{3}-8x^{2}+3x - 6)^{19}(12x^{2}-16x + 3)$
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find $\frac{dy}{dx}$ $y = cos x-7sqrt{x}+\frac{7}{e^{x}}$ $\frac{dy}{dx…
$-\sin x-\frac{7}{2\sqrt{x}}-7e^{-x}$
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read the excerpt from obamas second inaugural address. this generation …
to inspire the American people to collectively work toward a better future
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determine the point at which the graph of the function has a horizontal…
$(0,0)$
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find the derivative of the trigonometric function. f(x)=\frac{sin(x)}{x…
$\frac{x\cos(x)-6\sin(x)}{x^{7}}$
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88 mastering ohios american history standards 3 circle each term in the…
- Question 4: immigrants from Southern and Eastern Europe - Question 5: the need for labor for expansion - Question 6: promoting the English language as a method of assimilation -…
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2.) answer the following and provide a written response. 2 points the a…
Use 60 pounds per acre of fertilizer to maximize sugar production, with a maximum of 5797.5 pounds per acre.
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question 9 of 10 nativists would most likely have been opposed to which…
A. Increased limits to immigration
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4. let $y^{4}+xy + 4sqrt{x}=13$. what is $\frac{dy}{dx}$ at $(4,1)$? so…
$-\frac{1}{4}$
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on the second day, there are a few negative comments on your post and i…
B. Create time limits for online activities.
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ate the function. $f(v)=\frac{sqrt3{v}-6ve^{v}}{v}$
$f^\prime(v)=-\frac{2}{3v^{\frac{5}{3}}}-6e^{v}$
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some people you know have shared their stories, but you need more varie…
Encouraging diverse points of view to better understand and solve real - world problems.
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which of the following types of data allows researchers to gather infor…
C. quantitative
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which of the following types of data allows researchers to gather infor…
C. quantitative
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which of the following types of data allows researchers to gather infor…
C. quantitative
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step 2 to find $\frac{dy}{dx}=y$ for $x^{3}+y^{8}=6$, we differentiate …
$8y^{7}y'=-3x^{2}$; $y'=-\frac{3x^{2}}{8y^{7}}$