微积分
极限、导数、最优化与函数性质。
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19. find the derivative of $f(x)=x^{ln(3)}$. $f(x)=$
$\ln(3)x^{\ln(3)-1}$
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compute the first three derivatives of (f(x)=-\frac{1}{x}), and then st…
a. $f'(x)=\frac{1}{x^{2}}$ b. $f''(x)=-\frac{2}{x^{3}}$ c. $f'''(x)=\frac{6}{x^{4}}$ d. $f^{(n)}(x)=\frac{(-1)^{n + 1}n!}{x^{n+1}}$
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find the slope of the graph of $f(x)=-7sqrt{x}$ at the point $(64, - 56…
$-\frac{7}{16}$
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15. differentiate $f(z)=\frac{z^{8}+2}{sqrt{z}}$. $f(z)=$
$\frac{15}{2}z^{\frac{13}{2}}-z^{-\frac{3}{2}}$
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find all values of x where the tangent lines to y = x^8 and y = x^9 are…
$0,\frac{8}{9}$
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determine each of the following, where $f(x)=4+\frac{3}{x}+\frac{7}{x^{…
a. $f^\prime(x)=-\frac{3}{x^{2}}-\frac{14}{x^{3}}$ b. $f^\prime(2)=-\frac{5}{2}$
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for what value(s) of x does the graph of f(x)=6x^3 - 9x^2 - 216x have a…
$x=-3,4$
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find the x - value(s) on the graph of f(x)=2x^3 + 6x^2 - 144x + 15 wher…
$-6,4$
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22. when the professor of ornithology sees the swallow in winter, he wr…
22. c. Human knowledge is limited to what they know 23. c. The study of birds 24. d. Capitalism 25. c. “… sapphires, which were brought out of India a thousand years ago.” 26. a. …
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7 a charity gala venue can host a maximum of 500 guests. standard ticke…
# Explicación: ## Paso 1: Limite de invitados El salón puede alojar un máximo de 500 invitados. El número total de boletos vendidos es $x + y$ (donde $x$ es el número de boletos e…
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match the terms on the left with their definitions on the right. influe…
influential - powerful and able to control something bill of rights - a document that protects rights and limits government powers critical - an attitude of disagreement faction -…
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10. find the derivative of y = 5^x + 2/x^6. answer =
$5^x\ln 5-\frac{12}{x^7}$
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a graphing calculator is recommended. set up an integral that represent…
$3.6095$
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below is an image of the first african american senator and representat…
1. D. Ratification of the 15th Amendment 2. H. Require 10% of voters to take an oath of allegiance to the Union 3. J. This cycle of poverty limited economic mobility of African Am…
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now, you want to find the difference between your budget limit and the …
To find the difference by regrouping, borrow 1 thousand, regrouping 10 hundreds; borrow 1 hundred, regrouping 10 tens; and borrow 1 ten, regrouping 10 ones.
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find the derivative of (y = 15cdot14^{x}-x^{6}). (\frac{dy}{dx}=)
$15\cdot14^{x}\ln(14)-6x^{5}$
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which best describes emersons central message to his contemporaries in …
One should follow one’s conscience instead of what others dictate.
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graph of h(x) 9. $lim_{x ightarrow2^{-}}h(x)=-infty$ 10. $lim_{x ightar…
3
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let $y(x)=b^{x}+x^{b}$. determine $y(x)$. assume that $b$ is a positive…
$b^x\ln(b)+bx^{b - 1}$
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differentiate $f(t)=(ln 2)^t$. $f(t)=$
$(\ln 2)^t\ln(\ln 2)$
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5. immediately following the ap precalculus exam, memes are created and…
107750
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differentiate $v = t^{2}+\frac{-6}{sqrt4{t^{3}}}$. $v=$
$2t+\frac{9}{2t^{\frac{7}{4}}}$
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differentiate (f(t)=sqrt6{t}-\frac{1}{sqrt6{t}}). (f(t)=)
$\frac{1}{6}t^{-\frac{5}{6}}+\frac{1}{6}t^{-\frac{7}{6}}$
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estimate the y - coordinate at which the relative maxima and relative m…
For $f(x)=-x^{4}+2x^{2}+3$: Relative minimum at $(0,3)$, relative maxima at $(1,4)$ and $(-1,4)$. For $f(x)=0.75x^{4}+x^{3}-3x^{2}+4$: Relative maximum at $(0,4)$, relative minima…
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determine each of the following, where (f(x)=2x^{3}+3x - 1). a. (f(x)=)…
a. $f^\prime(x)=6x^{2}+3$ b. $f^\prime(-2)=27$
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determine each of the following, where (f(x)=3.8x^{3}-4.9x - 4). a. (f(…
a. $724.7$ b. $280.1$
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the height of a sand dune is represented by $f(t)=900 - 6t^{2}$ cm, whe…
$f(12)=36$ cm $f^\prime(12)=-144$ cm/yr
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read the paragraph. to conserve fuel and save lives, the national speed…
persuade drivers to slow down
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identify any x - values at which the absolute value function f(x)=6|x +…
not continuous: none not differentiable: -1
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the function y = f(x) is graphed below. what is the average rate of cha…
$-\frac{20}{11}$
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decide if the following function (f(x)) is differentiable at (x = 0). t…
$0$
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getting a new business off the ground can be a challenge, but a teenage…
The quotation from the article that most clearly states the author's purpose is "Woodrow started his own clothing label."
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getting a new business off the ground can be a challenge, but a teenage…
inform about a teen business
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consider the function graphed below. at what x - values does the functi…
At what \(x\) - values does the function appear to not be continuous? \(x = 1\) At what \(x\) - values does the function appear to not be differentiable? \(x = 1,4\)
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suppose that the cost of drilling $x$ feet for an oil well is $c = f(x)…
a. dollars / foot b. 1000
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consider the following function. f(x)=\begin{cases}5x^{2}+3x + 10&xleq1…
$13$
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3. a rectangular shelter is to be made using a rectangular sheet that i…
$x = 1.25$m
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what is an advantage of forming an llc? it is simple to form it limits …
it has limited liability
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what is a key difference between a c corporation and an s corporation? …
The S corporation is restricted to 100 investors, and a C corporation is not restricted in this way
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given the graph of y = f(x) below, at which of the marked x - values ca…
A. x4 B. x3, x4 C. x3, x4 D. x2 E. x1, x2, x5 F. x4, x5
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the system of checks and balances allows each branch of government to l…
The legislative branch may override a President's veto, impeach the President, approve appointments of judges and treaties. The judicial branch may declare executive acts unconsti…
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the system of checks and balances allows each branch of government to l…
# Brief Explanations: In a system of checks - and - balances, the legislative branch can override a presidential veto with[SSE Completed, Client Connection Error][SSE Completed, C…
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consider the following function. r(x)=\begin{cases}\frac{5}{8x^{5}}&\te…
The graph is a hyper - bolic shape and is decreasing on the interval $(-\infty,1)$.
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ush 6 first five presidents 1. explain the significance (why are they i…
1. - a. Established presidential advisory system. - b. Allowed domestic growth by avoiding European conflicts. - c. Set term - limit precedent. 2. Used Sedition Act to suppress cr…
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kins civics 6/7 lesson 1 etext: an overview of the constitution due oct…
Popular sovereignty is the foundation that enables limited government. The people, as the source of power according to popular - sovereignty, have the right and ability to limit t…
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find the derivative of y with respect to x. y = log 7e^9x \frac{dy}{dx}…
$\frac{9}{\ln 7}$
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find the derivative of y with respect to x. y = log₆x + log₆x⁶ dy/dx = □
$\frac{7}{x\ln 6}$
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find the derivative of y with respect to θ. y = log₇8θ dy/dθ = □
$\frac{1}{\theta\ln 7}$
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find the derivative of y with respect to θ if y = ln(\\frac{e^{12θ}}{1 …
$\frac{12}{1 + e^{12\theta}}$
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enter an exact answer. provide your answer below. ∫₃² 3/(2x + 1) dx
$\frac{3}{2}\ln(\frac{7}{5})$
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question 17 · 1 point evaluate the indefinite integral given below for …
$\frac{9}{16}\sqrt{16x^{2}-9}+C$
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question 16 · 1 point evaluate the definite integral below. (enter an e…
$\frac{35\sqrt{5}}{3}$
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question 15 - 1 point evaluate the indefinite integral given below. pro…
$\frac{4}{15(1 - 5x^{3})}+C$
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question 14 - 1 point evaluate the indefinite integral given below. pro…
$-\frac{7}{20}\sin(5x^{4}+10)+C$
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question 13 · 1 point evaluate the definite integral given below. $int_…
\(\frac{-3 - \sqrt{3}}{2}\)
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use logarithmic differentiation to find the derivative of y with respec…
$x^{8x + 7}(8\ln x+\frac{8x + 7}{x})$
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use logarithmic differentiation to find the derivative of y with respec…
$t^{\frac{t}{7}}(\frac{1}{7}\ln t+\frac{1}{7})$
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provide your answer below: f(x)=int_{1}^{e^{x}}(t^{3}+7)dt f(x)= square
$e^{4x}+7e^{x}$
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question 10 - 1 point given (f(x)) below, find (f(x)). (f(x)=int_{sin(x…
$F^{\prime}(x)=(\sin^{2}(x)+10)\cos(x)$
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find the derivative of y with respect to θ if y = ln(\\frac{e^{12θ}}{1 …
$\frac{12}{1 + e^{12\theta}}$
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question 9 · 1 point given f(x) below, find f(x). f(x)=\\int_{3}^{x}-\\…
$-\frac{3}{2x + 7}$
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question 7 - 1 point which of the following answer choices represents t…
$\lim_{n ightarrow\infty}\frac{170}{n^{4}}\sum_{i = 1}^{n}(17i - 7n)^{3}$
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question 5 · 1 point find the curve whose slope at any point (x,y) is -…
$y=-x^{3}+2x^{2}+2x + 6$
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question 4 · 1 point evaluate the indefinite integral given below. prov…
$\frac{8}{5}\ln|x|+C$
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question 2 · 1 point if (f(x)=-\frac{x^{2}}{3}) is an antiderivative of…
$-3F(x)-\frac{1}{2}x^{4}+C$
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analyse les fonctions suivantes: a) g(x) dom g = im g = intervalle(s) d…
Dom g = $\mathbb{R}$ Im g : à déterminer en observant précisément le graphe pour la plus petite et la plus grande valeur Intervalles de croissance : à déterminer en observant les …
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question 1 - 1 point find the most general antiderivative (including th…
$-10\cos(x)-2\sin(x)+C$
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which of the following is a technique used to create chinese porcelain …
Artists made porcelain from a mixture of pure white clay and feldspar.
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find the derivative of y with respect to x. y = \\frac{\\ln x}{2 + 3\\l…
$\frac{2}{x(2 + 3\ln x)^{2}}$
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exit ticket: your circle of control 1. how can you balance your energy …
1. Identifica y prioriza, dedica tiempo a autocuidado. 2. Comunícate de forma clara y assertiva, no intentes controlar las reacciones. 3. Enfócate en lo que puedes controlar y en …
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determine the domain on which the following function is decreasing.
The function is decreasing on the domain \((0,3)\)
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find the derivative of y with respect to x. y = (x^6 ln x)^3 \frac{dy}{…
$3x^{17}\ln^{2}x(6\ln x + 1)$
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perform long division on the integrand, write the proper fraction as a …
$3y-\frac{1}{2y}+\frac{y}{2(y^{2}+2)}$
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10. for the specialized coordinate system given, express the derivative…
### (a) Cylindrical coordinates \(\frac{\partial f}{\partial r}=\frac{\partial f}{\partial x}\cos\theta+\frac{\partial f}{\partial y}\sin\theta\), \(\frac{\partial f}{\partial\the…
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a brilliant leader of the indian independence movement emerged out of t…
B. nonviolent and effective
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9. in polar coordinates the gradient of a function can be computed with…
For $u(r,\theta)=r^{2}\cos\theta\sin\theta$, $\| abla u\|^{2}=r^{2}$; for $u(r,\theta)=e^{r^{2}}\sin^{2}\theta$, $\| abla u\|^{2}=4e^{2r^{2}}\sin^{2}\theta(r^{2}\sin^{2}\theta+\…
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1. a students phone plan allows 10 gb of data per month. he uses at lea…
$0.5d\leq10$ ### 2.
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although there is an overpopulation problem with white - tailed deer in…
C. Unregulated hunting could lead to species becoming endangered.
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3 tries left this sector drives the industry by offering limited menus,…
B. Quick - service restaurants
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find the equation of the tangent to the curve y = tan x at the point (0…
$y=x$
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6. the passage below was written by thomas paine in his 1776 pamphlet, …
Representatives are elected.
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6. the passage below was written by thomas paine. and as he hath shown …
None of the provided options accurately reflect the author's view in the passage.
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question 10 of 10 an advocate for limited government would most likely …
C. The growth of bureaucracy has expanded the role of government in citizens' lives.
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3. from what point of view is \the stolen party\ told? third person omn…
B. Third person limited
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question 5 if $f(x)=ln(5x + 1)^6$ find the slope of the tangent line to…
$-\frac{15}{2}$ ### Question 6
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question 7 of 10 what is an acceptable reason for a new federal bureauc…
D. Congress wants to limit the president's influence over it.
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question 1 of 10 a government employee working for the department of de…
A. Specialization
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question 3 if $f(x)=e^{2x - 10}$ find the slope of the tangent line to …
$2$ ### Question 4
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quiz instructions question 1 1 pts if f(x) = 4e^(-2x^2 + 1) find f(x) -…
For Question 2, if we assume we are just looking for the correct derivative formula for $f(x)=10\ln(3x + 1)$ among the options (not given in full here but based on our calculation…
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queen salote college calculus revision on derivatives differentiation 2…
i. $f^\prime(x)=-10e^{-5x}$ ii. $f^\prime(x)=2e^{2x}\cos(3x)-3e^{2x}\sin(3x)$
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early cultural formations of hispanic peoples cultural origins and deve…
They were an integral part of what became the Hispanic peoples.
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queen salote college calculus revision on derivatives differentiation 2…
$-10e^{-5x}$
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if a light is flashing yellow, you may continue through the intersectio…
B. False
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abolition and freedom in the united states what was the souths response…
Many states introduced Black Codes to limit the freedoms and rights of African Americans.
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the graph of a function f is given. use the graph to find each of the f…
a. A. The function f has (a) relative maxima(maximum) at 1 and the relative maxima(maximum) are(is) 4. b. B. The function f has no relative minima.
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question 1 1 pts choose the best answer. the basic speed law means the …
Question 1: may never travel faster than is reasonably safe. Question 2: False
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the graph of a function f is given. use the graph to find each of the f…
a. A. The function f has (a) relative maxima(maximum) at 1 and the relative maxima(maximum) are(is) 4. b. (Since no graph is provided, assume we need to analyze it) If there are p…
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native american tribes: plains & southwest the southwest the southwest …
hogans made from mud, bark, and other natural materials
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immigration & ethnicity: modern times modern immigration to the united …
It removed policies that favored Europeans, allowing more immigrants from Asia and Latin America.
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the function (f(x)=-x^{2}-13x - 42) has a maximum at the point
$x =-\frac{13}{2}$