微積分
極限、導數、最優化與函數性質。
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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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find the derivative of $f(x)=sqrt{x}(5x^{3}+x^{2}-4x - 9)$. $f(x)=$
$\frac{35}{2}x^{\frac{5}{2}}+\frac{5}{2}x^{\frac{3}{2}}-6x^{\frac{1}{2}}-\frac{9}{2}x^{-\frac{1}{2}}$
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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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let $f(x)=\frac{1}{e^{x}}$. find $f(x)$. choose 1 answer:
$\frac{1 - e^{x}}{(e^{x}-x)^{2}}$
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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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determine lim f(x) and lim f(x) for the following function. then give t…
A. $\lim_{x ightarrow\infty}\frac{5x^{3}-7}{x^{4}+3x^{2}}=0$
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watch the commercial on mtv a thin line https://www.youtube.com/watch?a…
1. Cannot be determined without content review. 2. If protected, likely due to free - speech rights within legal limits. 3. A social media post using derogatory slurs against a gr…
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find $\frac{dy}{dt}$ for $y = sin^{2}(5pi t - 2)$. thats incorrect. cor…
$10\pi\sin(5\pi t - 2)\cos(5\pi t - 2)$
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given the following function, determine the difference quotient, $\frac…
$4$
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find $\frac{dy}{dt}$ for $y = sin^{2}(5pi t - 2)$. $\frac{dy}{dt}=5pico…
$5\pi\cos(10\pi t - 4)$
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a. use the intermediate value theorem to show that the following equati…
a. The correct option is D. b. $0.438,4.562$
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which of the following best describes the role of trade in the byzantin…
Trade connected Europe and Asia through Constantinople
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step 2 we must find dz/dt. differentiating both sides and simplifying g…
65 mi/h
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a. use the intermediate value theorem to show that the following equati…
a. D b. \(-0.532,1.465,4.067\)
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why can the intermediate value theorem be used to show that the equatio…
A. It can be used because \(f(x)=x^{3}-5x^{2}+2x\) is continuous on \([-1,5]\) and \(-2\) is between \(f(-1)\) and \(f(5)\)
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sec 3.5 transformation of functions: problem 5 (1 point) describe how t…
shifted 9 units to the right and shifted 10 units down.
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a. use the intermediate value theorem to show that the following equati…
B. It is continuous for all \(x\)
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describe how the given equation represents a transformation of the func…
- $y = f(x)+7$: up 7 units - $y = f(x + 7)-2$: left 7 units and down 2 units
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find $\frac{dy}{dt}$ for $y = cos^{2}(5pi t + 1)$.
$-5\pi\sin(10\pi t + 2)$
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a. use the intermediate value theorem to show that the following equati…
The equation \(-x^{3}+6x^{2}-7x = 3\) has a solution in the interval \((-1,5)\) as shown by the Intermediate - Value Theorem. For part b, using a graphing utility (not shown in th…
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step 1 using the diagram of a right triangle given below, the relation …
The first blank in the first equation of Step 2 is $2z$, the second blank is $2y$, the first blank in the second equation of Step 2 is $\frac{1}{z}$, and the second blank is $y$.
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the top of a ladder slides down a vertical wall at a rate of 0.25 m/s. …
13
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determine $lim_{x ightarrowinfty}f(x)$ and $lim_{x ightarrow-infty}f(x)…
For $x ightarrow\infty$: A. $\lim_{x ightarrow\infty}\frac{5x^{3}-7}{x^{4}+3x^{2}} = 0$ For $x ightarrow-\infty$: A. $\lim_{x ightarrow-\infty}\frac{5x^{3}-7}{x^{4}+3x^{2}} = 0$
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sec 3.4 combination and composition of functions: problem 9 (1 point) i…
\(x - 6\)
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determine the end - behavior of the following transcendental function b…
B. \(\lim_{x\to+\infty}\sin(x)\) does not exist and \(\lim_{x\to-\infty}\sin(x)\) does not exist
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suppose y = √(2x + 1), where x and y are functions of t. (a) if dx/dt =…
(a) $\frac{dy}{dt}=3$ (b) $\frac{dx}{dt}=27$
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a cylindrical tank with radius 8 m is being filled with water at a rate…
$\frac{1}{32\pi}$ m/min
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homework | section 3.5 transformation of functions the university of te…
$f(g(x))=x^{\frac{3}{2}}+8$ $g(f(x))=\sqrt{x^{3}+8}$
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determine the end - behavior of the following transcendental function b…
B. $\lim_{x\to\infty}(1 - \ln x)=-\infty$ and $\lim_{x\to0^{+}}(1 - \ln x)=\infty$
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sec 3.4 combination and composition (1 point) let f(x)=3x^3 - 6 and g(x…
$-192x^{3}+288x^{2}-144x + 18$
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question 3 of 10 how does a corporation benefit from issuing stocks? it…
it allows them to raise a large sum of money while spreading out the financial risk
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determine the end - behavior of the following transcendental function b…
A. $\lim_{x ightarrow\infty}(-2^{x})=-\infty$ and $\lim_{x ightarrow-\infty}(-2^{x}) = 0$
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each side of a square is increasing at a rate of 7 cm/s. at what rate (…
$42$
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review the water quality report and then answer the question. milfords …
to inform residents about the source and content of Milford's drinking water
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review the water quality report and then answer the question. milfords …
The writer defines unfamiliar terms (ppm) and informs readers that the water is safe.
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read the water quality report and then answer the question. milfords dr…
residents of Milford
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10. in a monopolistic competitive market, what creates the \monopolisti…
Product differentiation