微積分
極限、導數、最優化與函數性質。
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(a) sketch a line that is tangent to the graph at x = 3 on the graph ab…
(a) Sketch a line that touches the curve at \(x = 3\) on the given graph. (b) \(x=2,x = 4\)
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let $f(x)=left(\frac{x + 6}{x + 2} ight)^6$. $f(x)=$
$\frac{-24(x + 6)^{5}}{(x + 2)^{7}}$
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section 2.6: chain rule (homework) score: 30/170 answered: 4/17 progres…
$\frac{6(x + 6)^{5}(-4)}{(x + 2)^{3}}$
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find the derivative of the function. y = (8x^2 + 1)/(x^2 + 2) y = □
$\frac{30x}{(x^{2}+2)^{2}}$
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let $f(x)=sqrt{3x^{2}+4x + 7}$ $f(x)=$ $\frac{6x + 4}{2sqrt{3x^{2}+4x +…
\(1.6615\)
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today, almost every career path is open to men, but women are still lim…
T
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find y’ by (a) applying the product rule and (b) multiplying the factor…
$y'=-5x^{4}+33x^{2}-2x - 28$
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find the first and second derivatives. y = \\frac{6x^{5}}{5}-3x + 8e^{x…
First derivative: $\frac{dy}{dx}=6x^4-3 + 8e^x$ Second derivative: $\frac{d^2y}{dx^2}=24x^3+8e^x$
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find the first and second derivatives. s = 4t^3 - 3t^4 \\frac{ds}{dt}=\…
First derivative $\frac{ds}{dt}=12t^{2}-12t^{3}$, Second derivative $\frac{d^{2}s}{dt^{2}}=24t - 36t^{2}$
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what effect did alliances have on world war i? they helped curb conflic…
They pulled many nations into a growing war.
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which statement best describes the authors purpose for writing the arti…
The author wrote this article to inform readers about an unprecedented archaeological finding in Great Britain.
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graph the following function: $y = \\frac{-1}{2} \\csc(2x + \\pi)$ step…
The basic function is $y = \csc(x)$ which has a shape consisting of U - shaped curves separated by vertical asymptotes at $x=n\pi$, $n\in\mathbb{Z}$.
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select the correct texts in the passage. which two details in dalahs ca…
1. Those teachers stock classroom libraries using their own money and donations from crowdfunding sources. 2. They take those books with them when they move to other schools or jo…
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if (f(x)=(5x + 7)^{-2}), find (f(x)). (-10(5x + 7)^{-3}) find (f(2)). (…
$f^\prime(x)=-10(5x + 7)^{-3}$; $f^\prime(2)\approx - 0.002$
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this generation of americans has been tested by crises that steeled our…
to show the American people that success is more fulfilling as a group
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28) describe one wealthy womans philanthropy work during the gilded age…
28) Clara Barton founded the American Red - Cross. 29) Increased access to education, women's clubs, and social reform movements. 30) Jane Addams; Hull - House. 31) Educational op…
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the function y = f(x) is graphed below. what is the average rate of cha…
$\frac{25}{6}$
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what social or community problem do you think needs greater attention? …
Income inequality. It creates disparities in access to essential services and limits social mobility, which can have far - reaching negative impacts on society and the economy.
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the rise of modern japan quiz complete 1 2 3 4 5 6 7 8 9 why did meiji …
They wanted to limit western influence in Japan.
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question 1 which of the following is a key benefit of an llc? guarantee…
D. Pass - through taxation with liability protection
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question 5 what is one main advantage of incorporating a business? lowe…
Limited liability protection
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question 4 why are written partnership agreements important? they lower…
They clarify profit - sharing, roles, and dispute resolution
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question 3 in a general partnership, how are liabilities handled? only …
All partners share unlimited liability
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what is the meaning of the word in bold? president calvin coolidge was …
D. deliberately avoiding intervention
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which point of view does the narrator use in the passage? \keep those b…
A. first person
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the right of accused persons to be brought before a judge to hear the c…
D. habeas corpus
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the rights and liberties that all people have by virtue of being human;…
individual rights
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what is the difference between separation of powers and checks and bala…
The first checkbox statement is correct: Separation of Powers is dividing the powers of government between three branches. The second checkbox statement is correct: Checks and Bal…
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why did the founding fathers favor limited government? limited governme…
Limited Government prevents the government from abusing its power, hurting its citizens, or denying them its rights
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a general limitation on the power of the president is the possibility o…
the possibility of impeachment.
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calculate the average rate of change of a function over a specified int…
$\frac{f(9)-f(2)}{7}$
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which statement best explains why the constitution limits the power of …
The Constitution limits the executive branch to keep the president from becoming too powerful.
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calculate the average rate of change of a function over a specified int…
$\frac{f(2)-f(0)}{2}$
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maria created a graph of b(t), the temperature over time. for the inter…
The temperature was 32 degrees higher when $t = 7$ than when $t = 3$.
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the average rate of change from x = 0 to x = 15 is about -4.667. how do…
more negative than
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2. if you were sued or arrested in the years after 1066, what language …
The language spoken during court hearings or trials after 1066 would likely be Latin. This was a problem for most people because common people were not able to read or write Latin…
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discussion 3 - ai tools sep 24 - oct 1 has release conditions. must pos…
1. Self - assess your generative AI experience as beginner, intermediate, or advanced. 2. Example: Use AI to check math homework answers. 3. Benefits: Personalized learning, insta…
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estimate $int_{0}^{1}7cos(x^{2})dx$ using the trapezoidal rule and the …
(a) $7.616679$ (b) $6.598232$ $6.598232<\int_{0}^{1}7\cos(x^{2})dx<7.616679$
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1. true or false: the magna carta was significant because it establishe…
True
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the graph of a function g is shown below. use the graph of the function…
$4$
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many conservatives believed that the courts ruling in griswold v. conne…
went too far in creating a new right.
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practice another estimate $int_{0}^{1}9cos(x^{2})dx$ using the trapezoi…
(a) $8.060421$ (b) $8.203196$ $T_4$ is an underestimate $M_4$ is an overestimate $8.060421<\int_{0}^{1}9\cos(x^{2})dx<8.203196$
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the strategic arms limitation talks (salt i) agreement in 1972 brought …
the regulation of Soviet production of missiles that carried nuclear weapons.
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the graph of a function g is shown below. use the graph of the function…
$4$
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estimate $int_{0}^{1}7cos(x^{2})dx$ using the trapezoidal rule and the …
(a) $5.724023$ (b) $6.461948$ $T_{4}$ is an underestimate $M_{4}$ is an overestimate $5.724023<\int_{0}^{1}7\cos(x^{2})dx<6.461948$
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4. (exam 2 review #11b) 5 pts find the differential of the function at …
$dy=\frac{4}{3}dx$
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which of the following best describes why the supreme court might limit…
to prevent the incitement of violence
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the graph of a function f is shown below. use the graph of the function…
$0$
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question 10 of 10 which statement best describes a difference between a…
C. A democracy can come in two forms - direct and indirect - while a republic is always indirect.
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how has one specific supreme court ruling expanded freedom of speech by…
A. New York Times v Sullivan determined that actual malice must be proven to pursue charges of libel in the case of a public official.
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question 4 of 10 read this passage: a democratic government allows its …
C. Accepting majority rule but insisting on minority rights
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which of the following correctly analyzes the effect the supreme courts…
Selective incorporation has expanded the freedom of expression by forcing states to protect the freedom of speech.
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analyze the meaning of substantive due process. (1 point) substantive d…
B. Substantive due process centers on the idea of fairness limiting the power of the government.
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calculate the following derivatives using the product rule. a. $\frac{d…
a. $2\sin x\cos x$ b. $3\sin^{2}x\cos x$ c. $4\sin^{3}x\cos x$ d. $\frac{d}{dx}(\sin^{n}x)=n\sin^{n - 1}x\cos x$ (conjecture)
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analyze why the addition of the fourteenth amendment was necessary. (1 …
to further explain the rights granted in the Thirteenth Amendment, which guaranteed freedom to people who had been enslaved
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jim launches a rocket straight up into the air. the table below gives t…
(a) 40 meters per second (b) - 10 meters per second
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the graph of a function h is shown below. use the graph of the function…
$\frac{7}{3}$
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what form of government did the united states adopt in the very beginni…
1. Confederate 2. The House of Representatives 3. Slavery
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a differential equation is an equation involving an unknown function an…
a. $y''(t)=-A\sin t$ (Answer is A) b. Since $y = B\cos t$, $y'=-B\sin t$ and $y''=-B\cos t$, and $y'' + y=-B\cos t + B\cos t = 0$, so $y = B\cos t$ satisfies the equation. c. Sinc…
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302 mastering the grade 10 global history curriculum “we have triumphed…
15. 3. apartheid 16. 2. marked the election of the first black person as president 17. 1. attacks by the Tutsis against the Hutu population 18. 1. genocide 19. 3. Genocide was oft…
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based on these pie charts, which statement is most accurate? 1. in 1991…
10. 1. In 1991, 72% of South Africans were black. 11. 3. The South African government practiced apartheid. 12. 1. A major part of South Africa’s population faced economic inequali…
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a differential equation is an equation involving an unknown function an…
a. The correct answer for $y''(t)$ when $y = A\sin t$ is D. $y''(t)=-A\sin t$, and $y''(t)+y(t)=0$ for $y = A\sin t$ (Yes). b. For $y = B\cos t$, $y'(t)=-B\sin t$, $y''(t)=-B\cos …
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who rules? name: ivaneah b. true or false? use what you learned in the …
1. True. Reason: In an absolute monarchy, the monarch has unrestricted power like a dictator, while in a constitutional - monarchy, it is part of a democratic system with limited …
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a differential equation is an equation involving an unknown function an…
a. Shown above. b. Shown above. c. Shown above. Multiple - choice: D. $y^{\prime\prime}(t)=-A\sin t$
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a. for what values of x does f(x) = 9x - 9 sin x have a horizontal tang…
a. B. \(x = 2k\pi\), where \(k\) is any integer b. \(x=\frac{\pi}{2}+k\pi\), where \(k\) is any integer
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evaluate the following limit or state that it does not exist. (hint: id…
The value of the limit is $-\frac{1}{2}$. D. $f(x)=\cos x, a=\frac{\pi}{6}$
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find y for the following function. y = 7 tan x y = □
$14\sec^{2}x\tan x$
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find y y = 3x cos x y = □
$-6\sin x - 3x\cos x$
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find y. y = 7x cos x y = □
$-14\sin x - 7x\cos x$
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b2 - series: problem 9 (1 point) what is the value of c if \\(\\sum_{n …
$c=\frac{1}{3}$
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9. (8 points) the population of the boom town of suluclac gulch, ca is …
The instantaneous rate of change of the population on January 1st, 1859 is approximately $-2.19$ thousand people per year.
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find an equation of the line tangent to the curve defined by $x^{5}+3xy…
$y =-\frac{8}{9}x+\frac{17}{9}$
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if (4x^{2}+5x + xy=2) and (y(2)=-12), find (y(2)) by implicit different…
$-\frac{9}{2}$
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question. determine the area, in square units, of the region bounded by…
$\frac{208}{3}$
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part a: in paragraph 1, what claim does the author make about gaming? g…
A. Gaming improves reading skills
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b2-series: problem 6 (1 point) results for this submission 1 of the ans…
1. $(-5,5)$ 2. $\frac{x}{5 - x}$
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question 5 which features of government did enlightenment philosopher m…
C. checks and balances D. separation of powers
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in 1915, the united states neutral stance was tested when germany asked…
sank the passenger ship Lusitania
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the graph of a function $f$ is shown below. use the graph of the functi…
6
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multiple select question select all that apply an intellectual disabili…
- requires supervision either at home or in an institution - a low IQ, usually below 70 - difficulty adapting to the demands of everyday life
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athens and rome: who could be a citizen? | who | athens | roman republi…
If parents were free - born Athenians
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difference quotient $\frac{f(x + h)-f(x)}{h}$ $f(x)=8x^{2}-9x$ d) 16x +…
d. $16x + 8h-9$
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the mosquito population is a function of rainfall, and can be approxima…
b. 30
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multiple choice question which of the following is a relatively permane…
long - term memory
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read the excerpt from the fourteenth amendment of the united states con…
was the first time the Constitution defined what a citizen is.
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section 2: characteristics of the american economy • learning goals: i …
a. interés, "Mano Invisible", eficientemente, bienestar general b. Sistema económico basado en la propiedad privada y la búsqueda del beneficio c. Principio de no intervención est…
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find the limit, if it exists, or type dne if it does not exist. a. $lim…
A. 1 B. 0
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the new mexico constitution a. limits power through the checks and bala…
D. is intended to provide all of the above
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i. the function has a vertical asymptote but no horizontal asymptote. i…
b) II and III only
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which of the following cultures was not represented in the cultural ble…
1. B. Chinese 2. B. leaders chosen by the rich
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(b) $sum_{n = 2}^{infty}\frac{1}{2^{n}}=$(c) $sum_{n=0}^{infty}\frac{2^…
The sum of \(\sum_{n = 2}^{\infty}\frac{1}{2^{n}}\) is \(\frac{1}{2}\), and the sum of \(\sum_{n = 0}^{\infty}\frac{2^{n}}{7^{2n+1}}\) is \(\frac{7}{47}\).
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question 4 of 10 in a democracy, how is rule of law regarded? a. it is …
B. It is respected, as leaders are accountable to the people.
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11. during the colonial period, the economic development of the south w…
11. B. enslaved Africans 12. C. began imposing new taxes on the colonists 13. A. source of the government's power 14. A. market for British manufactured goods and a source of raw …
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6. if (f(x)=int_{1}^{x}\frac{2}{t}dt), then what is (f(2))? (a) - 1 (b)…
d. $\ln(2)$
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4. the tangent line to $f(x)=(1 + x)^{1/4}$ at $a = 0$ is $y=1+\frac{1}…
d. $(1.1)^{\frac{1}{4}}\approx\frac{41}{40}$
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5. if (f(x)=int_{1}^{x}tcos(t)dt) and (g(x)=x^{2}), then what is ((fcir…
(b) $(f\circ g)(x)=\int_{1}^{x^{2}}t\cos(t)dt$
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examine the behavior of (f(x,y)=\frac{3x^{2}y}{7x^{4}+y^{2}}) as ((x,y)…
The limit exists and is equal to \(0\).
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examine the behavior of $f(x,y)=\frac{3x^{2}y}{7x^{4}+y^{2}}$ as $(x,y)…
Since the limit of \(f(x,y)=\frac{3x^{2}y}{7x^{4}+y^{2}}\) as \((x,y)\) approaches \((0,0)\) along the \(y - axis\) (\(x = 0\)), \(x - axis\) (\(y = 0\)) and the line \(y=mx\) is …
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find f(x). f(x)= - 6\\ln x + 5x^{2}-10 f(x)=\\square
$-\frac{6}{x}+10x$
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find dy. y = 26 + 7x - 5x^3 dy = (simplify your answer.)
$(7 - 15x^{2})dx$