微積分
極限、導數、最優化與函數性質。
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suppose the position of a particle, s(t) is given by s(t)=t^2 - 11t + 1…
(a) $v(t)=2t - 11$ (b) $-5$ feet per second (c) $5.5$ seconds
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a particle moves according to the law of motion s = t^3 - 8t^2 + 4t, t …
a. $v(t)=3t^{2}-16t + 4$ b. $-17$ feet per second c. $\frac{8 + 2\sqrt{13}}{3},\frac{8 - 2\sqrt{13}}{3}$ d. $0<t<\frac{2}{3},t>2$
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f(x)=2(x - 6)^(2/3)+2. (a) find the interval(s) where f(x) is increasin…
(a) $(6,\infty)$ (b) $(-\infty,6)$ (c) NONE (d) $6$
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let (f(t)=\frac{-10}{(t^{2}-4t + 9)}). a. identify interval(s) where th…
a. \((2,\infty)\) b. \((-\infty,2)\) c. None d. \((2,-2)\)
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let f(x)=2x^3 - 6x^2 - 90x - 3. a. identify interval(s) where the graph…
a. \((-\infty,-3),(5,\infty)\) b. \((-3,5)\) c. \((-3,159)\) d. \((5,-353)\)
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consumers want a firms ethical behavior to _________. ○ go beyond the l…
go beyond the legal limits of the law
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find the critical point and determine if the function is increasing or …
Critical point: $c = 2$. The function is increasing on $(-\infty,2)$ and decreasing on $(2,\infty)$.
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use the four - step process to find r(x) and then find r(1), r(2), and …
$r^{\prime}(x)=6x$ $r^{\prime}(1)=6$ $r^{\prime}(2)=12$ $r^{\prime}(3)=18$
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determine the critical values of (f(x)=8x^{3}+57x^{2}-30x + 5). separat…
\(-5,\frac{1}{4}\)
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determine where the following function is continuous. m(x)=\frac{x - 1}…
$(-\infty,-\frac{9}{2})\cup(-\frac{9}{2},\frac{9}{2})\cup(\frac{9}{2},\infty)$
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refer to the graph of y = f(x) to the right to describe the behavior of…
A. \(\lim_{x\to\infty}f(x)=0\)
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use the graph of the function f shown to estimate the following limits …
(A) A. $\lim_{x ightarrow2^{-}}f(x)=2$ (B) A. $\lim_{x ightarrow2^{+}}f(x)=1$ (C) B. The limit does not exist. (D) B. The function is not defined at x = 2.
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question 4 2 pts ________ developed the hedonic calculus to weigh the p…
B. Jeremy Bentham
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a certain fish grows so that after t years of life its length is given …
$\frac{3}{4}$
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predicting key aspects using a table x -4 -3 -2 -1 0 1 2 3 4 f(x) -54 -…
- Which interval contains a local maximum for this function? \((-1,1)\) - Which interval contains a local minimum for this function? \((0,2)\)
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the founders also saw the leaders of ancient rome as examples of the ki…
C. Like Cincinnatus, American leaders should serve for a limited time. D. Unlike Caesar, American leaders should only have limited power.
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the articles of confederation also gave the national government very li…
Cause: The Articles gave the national government the power to coin currency, but it did not limit this power to only the national government. Effect: Any state government could pr…
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question 10 (1 point) a key aspect of online marketing is: a) limiting …
B. Building strong, measurable campaigns
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question 8 (1 point) which is a characteristic of effective mobile mark…
C. Personalization and user engagement
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question 6 (1 point) successful digital marketing campaigns often inclu…
B. Integration across multiple platforms
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during the ratification process, state governments reviewed the constit…
that the federal government would abuse its power
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7. cultural challenges: what gender restrictions or cultural expectatio…
Malala described restrictions such as limited educational opportunities for girls. These affected her daily life by impeding her right to education and self - expression, as cultu…
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in 1786, farmers and former soldiers unable to pay their taxes began a …
They felt the changes needed would be substantial and long - lasting. They felt a heavy responsibility to address the crisis facing the nation's failing government.
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solve the given differential equation by using an appropriate substitut…
$\frac{1}{2}\ln(\frac{y^{2}}{x^{2}} + 1)+\arctan(\frac{y}{x})=-\ln|x|+C$
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solve the given differential equation by using an appropriate substitut…
$y = 0$ and $y=\frac{1}{e^{-\frac{t^{2}}{2}}(\sqrt{\pi}\text{erfi}(\frac{t}{\sqrt{2}})+C)}$
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solve the given initial - value problem. the de is a bernoulli equation…
$y^{3}=\frac{5x^{6}}{338 - 18x^{5}}$
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solve the given differential equation by using an appropriate substitut…
\(y=\tan(x + C)-x - 3\)
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solve the given differential equation by using an appropriate substitut…
$y+\frac{\sin(2(x + y))}{2}=x + C$
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solve the given differential equation by using an appropriate substitut…
$y^{3}=1 + Ce^{-3x}$
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solve the given differential equation by using an appropriate substitut…
$y = e^{-x}\text{Ei}(x)+Ce^{-x}$
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solve the given differential equation by using an appropriate substitut…
$2\sqrt{y - 2x + 4}=x + C$
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solve the given initial - value problem. the de is of the form $\frac{d…
\(\tan\frac{x + y}{2}=x + 1\)
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solve the given initial - value problem. the de is homogeneous. (x + ye…
\(e^{y/x}=\ln|x| + 1\)
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solve the given initial - value problem. the de is homogeneous. $\frac{…
$y^{3}=27x^{3}-3x^{3}\ln|x|$
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solve the given differential equation by using an appropriate substitut…
\(2\sqrt{\frac{x}{y}}=\ln|y|+C\)
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solve the given differential equation by using an appropriate substitut…
$\frac{1}{2}\ln(x^{2}+y^{2})+\arctan(\frac{y}{x})=C$
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divide the numerator and denominator by the highest power of x in the d…
$\frac{1}{2}$
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solve the given differential equation by using an appropriate substitut…
\(y =-\frac{x}{\ln|x|+C}\)
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solve the given differential equation by using an appropriate substitut…
$y=-x\ln|x|+Cx$
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find the difference quotient of f; that is, find $\frac{f(x + h)-f(x)}{…
$4x + 2h-1$
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f(x)=2x^{3}-6x^{2}-18x + 6 -5,5,1 by -60,60,10
The relative maximum value of the function $f(x)=2x^{3}-6x^{2}-18x + 6$ is 16.
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20. which two men were leading federalists? a. patrick henry and thomas…
20. B. Alexander Hamilton and James Madison 21. B. A Bill of Rights 22. B. Protect individual freedoms from government power
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16. the presidents ability to veto a law passed by congress is an examp…
16. B. Checks and balances 17. B. Federalists 18. C. Give too much power to the national government 19. A. Persuade states to ratify the Constitution
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21. anti - federalists demanded that the constitution include: a. a mon…
21. B. A Bill of Rights 22. B. Protect individual freedoms from government power 23. B. Congress overriding a presidential veto
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find f(x). f(x) = (x^2 + 8)^9
\(18(x^{2}+8)^{7}(17x^{2}+8)\)
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find $\frac{d^{2}y}{dx^{2}}$. $y = - 7x^{5}+1$ $\frac{d^{2}y}{dx^{2}}=s…
$-140x^{3}$
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find $\frac{d^{2}y}{dx^{2}}$ $y = - 6x^{4}+1$
$-72x^{2}$
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differentiate the function. y = (4x^2 - 14)^(-11) \frac{dy}{dx}=square
$-88x(4x^{2}-14)^{-12}$
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differentiate the function. y = (3x^2 - 9)^(-11) \frac{dy}{dx}=-66x(3x^…
$\frac{dy}{dx}=-66x(3x^{2}-9)^{-12}$
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differentiate. f(x)=\frac{1}{5x - 2} f(x)=square
$-\frac{5}{(5x - 2)^2}$
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differentiate. f(x)=\frac{1}{9x - 8} f(x)=\frac{-9}{(9x - 8)^2}
$F'(x)=-\frac{9}{(9x - 8)^2}$
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differentiate. g(x)=\frac{5x - 3}{8x + 5}+x^{3} g(x)=square
\(\frac{49}{(8x + 5)^{2}}+3x^{2}\)
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differentiate the function. y = (5x^4 - x + 1)(-x^5 + 8) y =
$-45x^{8}+6x^{5}-5x^{4}+160x^{3}-8$
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differentiate the function. y = (8x^4 - x + 2)(-x^5 + 2) y = - 72x^8+6x…
$-72x^{8}+6x^{5}-10x^{4}+64x^{3}-2$
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for the function, find the points on the graph at which the tangent lin…
A. $(\frac{1}{5},\frac{19}{5})$
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find the derivative of the following function. y = 9x^{-\frac{5}{2}}+2x…
$-\frac{45}{2x^{\frac{7}{2}}}-\frac{1}{x^{\frac{3}{2}}}+3x^2$
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find the derivative of the following function. y = 5x^{-\frac{3}{2}}+4x…
$y'=-\frac{15}{2}x^{-\frac{5}{2}}-2x^{-\frac{3}{2}}+11x^{10}$
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question answer all of the questions below about the function f(x) grap…
\(\lim_{x\to - 4^{-}}f(x)=0\), \(\lim_{x\to - 4^{+}}f(x)=0\), \(\lim_{x\to - 4}f(x)=0\), \(f(-4)=\text{undefined}\)
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differentiate. y = 4x^3 - 5x^2 + 8x + 4 dy/dx = □
$12x^2-10x + 8$
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differentiate. y = 3x^3 - 10x^2 + 32x + 6
$\frac{dy}{dx}=9x^2-20x + 32$
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list the points in the graph in the interval - 2 < x < 8 at which the f…
2, 4, 6
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find an equation for the tangent line to the graph of the given functio…
$y=-10x - 27$
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by determining $f(x)=lim_{h \to 0}\frac{f(x + h)-f(x)}{h}$, find $f(8)$…
96
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an object dropped from rest from the top of a tall building on planet x…
80
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use the graph to answer these questions a find lim f(x) and lim f(x) x→…
a. \(\lim_{x\to3^{+}}f(x)=4\), \(\lim_{x\to3^{-}}f(x)=2\) b. \(\lim_{x\to3}f(x)\) does not exist c. \(f(3)=4\) d. \(f(x)\) is not continuous at \(x = 3\) because \(\lim_{x\to3}f(x…
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the initial substitution of x = a yields the form $\frac{0}{0}$. simpli…
A. $\lim_{x ightarrow8}\frac{x^{2}+3x - 88}{x^{2}-64}=\frac{19}{16}$
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find the given limit. lim (2x^4 - 5x^3 + 9) x→2 lim (2x^4 - 5x^3 + 9) =…
$1$
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find the given limit. lim (3x^4 - 8x^3 + 9) x→1 lim (3x^4 - 8x^3 + 9) =…
4
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graph the following function and then find the specified limit. when ne…
The limit \(\lim_{x ightarrow1}G(x)=1\)
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<scenario> ms. l, a preschool teacher, is preparing for a parent - teac…
1. Review observation and assessment data: To have more in - depth information about Jordan's progress and set clear learning goals. 2. Allocate time for parent input: To gain a c…
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identify and discuss at least two reasons why face - to - face communic…
- Reason 1: Busy schedules of teachers and parents. Strategy: Pre - scheduled short meetings. - Reason 2: Geographical constraints. Strategy: Use of video conferencing tools.
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the united states uses government regulations, such as tariffs, embargo…
c) Trade protectionism
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differentiate the function. y = (8x^4 - x + 2)(-x^5 + 2) y =
$-72x^{8}+6x^{5}-10x^{4}+64x^{3}-2$
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find an equation for the tangent line to the graph of the given functio…
$y=-8x - 25$
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by determining $f(x)=lim_{h ightarrow0}\frac{f(x + h)-f(x)}{h}$, find $…
48
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an object dropped from rest from the top of a tall building on planet x…
320
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use the graph to answer these questions a find $lim_{x ightarrow4^{+}}f…
a. \(\lim_{x\to4^{+}}f(x)=5\), \(\lim_{x\to4^{-}}f(x)=2\) b. The limit does not exist c. \(f(4)=2\) d. \(f(x)\) is not continuous at \(x = 4\) because \(\lim_{x\to4}f(x)\) does no…
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the initial substitution of x = a yields the form $\frac{0}{0}$. simpli…
A. $\lim_{x ightarrow14}\frac{x^{2}+3x - 238}{x^{2}-196}=\frac{31}{28}$
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graph the following function and then find the specified limit. when ne…
The limit \(\lim_{x ightarrow0}G(x)=0\)
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graph the following function and then find the specified limit. when ne…
A. \(\lim_{x ightarrow0}G(x)=0\)
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use the graph of h shown to the right to find the limit. if necessary, …
A. \(\lim_{x\to0}H(x)=6\)
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decide from the graph whether a limit exists. if a limit exists find it…
A. The limit is the real number 0
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2 mark for review the rational function r is given by r(x) = \\(\\frac{…
D. The degree of \(p\) is equal to the degree of \(q\), and \(\lim_{x ightarrow\infty}r(x)=\frac{2}{9}\) (Note: There was an error in the original options, the correct limit for r…
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question 18. you should limit your communication with the captor to whi…
B. Ask to be returned to U.S. control C. Address health and welfare concerns D. Identify yourself
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directions: - provide a solution for every problem, place your final an…
1. $0$ 2. $\frac{3}{4}$
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10 multiple choice 0.5 points communication of testing or assessment re…
should be an integral part of the counseling process.
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the french and indians the number of each not known had so we found aft…
B. clear bias against the officers C. lack of access to some information
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parliament created the petition of right over concerns about the monarc…
absolutism
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parliament created the petition of right over concerns about the monarc…
tyranny, absolutism
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the magna carta placed limits on the government and indicated that the …
must obey the law
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how did the magna carta change the relationship between the monarch and…
It placed limits on the monarch's power.
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what was one effect of the english bill of rights? it decreased the rig…
C. It limited the power of the monarchy.
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how did segregation impact the experience of black workers in the ccc c…
C. Black workers were in separate groups and assigned different, sometimes more limited jobs, affecting their opportunities within the CCC.
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how did segregation impact the experience of black workers in the ccc c…
B. Black workers were in separate groups and assigned different, sometimes more limited jobs, affecting their opportunities within the CCC.
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which limits were part of the habeas corpus act? choose three correct a…
limits on the monarchy limits on arrests limits on imprisonment without trial
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what was one common critique of the ccc? it was racially segregated and…
It was racially segregated and had gender limitations.
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bangladesh has 2,596 persons per square mile, while the united states h…
B. population densities
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$int sec x dx$
$\ln|\sec x+\tan x|+C$
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collin is writing a compare and contrast paragraph about different lang…
D. Spanish would be more useful for students in everyday life.
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ww2: problem 5 (1 point) use the given graphs of the function ( f ) (in…
Since the specific $x$ - values for which the limits are taken are not clear from the image, we cannot provide numerical answers. The general rules for calculating the limits are:…