微积分
极限、导数、最优化与函数性质。
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find the linear approximation of ( f(x)=ln x ) at ( x = 1 ) and use it …
\(L(x)=x - 1\); \(\ln(1.26)\approx0.26\)
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find the average rate of change of ( g(x)=-3 x^{3}-2 ) from ( x=-4 ) to…
\(-39\)
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on the graph above, estimate to one decimal the average rate of change …
\(-0.4\)
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from the graph of the function, state the domain, the range, and the in…
A. The function is decreasing on \([1,3]\)
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from the graph of the function, state the domain, the range, and the in…
A. The function is increasing on \([-1,1]\)
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from the graph of the function, state the domain, the range, and the in…
\([-1,3]\)
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from the graph of the function, state the domain, the range, and the in…
A. The function is decreasing on \((-\infty,\infty)\)
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n law and public safety below to answer the question. public safety, su…
They act as the face of their departments to the community and the media.
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7. $f(x)=\\frac{x^{2}}{4x + 4}$ ap increasing: ho decreasing:
Increasing: \((-\infty,-2)\cup(0,\infty)\) Decreasing: \((-2,-1)\cup(-1,0)\)
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log5 the graph of ( f(x)=log _{5} x ) is shown below. select all the st…
A. The \(x\) - intercept is \((1,0)\) D. The vertical asymptote is at \(x = 0\) F. Domain of the function is \((0,\infty)\)
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which of the following statements is false? a ( g(x)=ln x ) is the inve…
C. The graph of \(f(x)=e^{x}\) lies between the graphs of \(d(x)=2^{x}\) and \(h(x)=3^{x}\), and they do not intersect.
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a ladder 25 feet long is leaning against the wall of a house. the base …
(a) - \(7\) feet away: \(-\frac{7}{12}\) ft/sec - \(20\) feet away: \(-\frac{8}{3}\) ft/sec - \(24\) feet away: \(-\frac{48}{7}\) ft/sec (b) \(\frac{527}{24}\) ft²/sec (c) \(\frac…
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find the critical numbers of the function. (enter your answers as a com…
\(0,\frac{4}{5}\)
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f(x)=10^{x} and g(x)=log(x). select all the statements that are true. a…
A. The graph of \(f(x)=10^{x}\) has a horizontal asymptote. B. The range of \(f(x)\) is the same as the domain of \(g(x)\). C. The graph of \(g(x)+\log(100)\) is a translation of …
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find the critical numbers of the function. (enter your answers as a com…
\(\theta = 2n\pi\pm\frac{\pi}{3},2n\pi\pm\frac{2\pi}{3}\)
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read the passage from a room of ones own here am i asking why women did…
The cause - effect structure describes societal demands and limitations that were placed on women during this time period, showing the underlying causes of a lack of female poets.
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identify any maximum or minimum values on the interval $-2 leq x leq 3$…
- **Problem 15**: The minimum value is \(-12\) (at \(x = - 2\)) and the maximum value is \(13\) (at \(x = 3\)). - **Problem 16**: The maximum value is \(0\) (at \(x=-2\)) and the …
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find the critical numbers of the function. (enter your answers as a com…
\(0,\frac{6}{7},3\)
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reading (comprehension and vocabulary) (continued) 5. why are some peop…
5. B. They have broken the laws that limit water use. 6. A. not effective
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examine the public service ad what is the most likely reason the campai…
to show that there are parks near urban areas
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question 7 0/5 pts 2 98 details the value of chinas exports of automobi…
Since \( x = 0 \) corresponds to the beginning of 2019, and \( x\approx5.44 \), the year is \( 2019 + 5=2024 \).
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how much money would be in an account if $4,000 is deposited at 3% inte…
\( 6273.25\)
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find the critical numbers of the function. (enter your answers as a com…
\(0,1\)
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since there are no real roots for $y^{2}-2y + 4$, $g(y)$ exists for all…
\(0,4\)
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step 1 for ( g(y)=\frac{y - 2}{y^{2}-2y + 4} ), we have ( g(y)=-\frac{y…
DNE
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the following is a draft of a student paper. it may contain errors. com…
C. While it may be true that the garden does not seem to be well used, it does benefit the student body in many ways. For example, science classes have been more interactive with …
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find the critical numbers of the function. g(y)=\\frac{y - 2}{y^{2}-2y …
\(g^{\prime}(y)=\frac{-y(y - 4)}{(y^{2}-2y + 4)^{2}}\)
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identify any maximum or minimum values on the interval $-2leq xleq3$. 1…
For \(f(x)=5x - 2\): Minimum value is \(-12\) (at \(x = - 2\)) and maximum value is \(13\) (at \(x = 3\)). For \(f(x)=-2x - 4\): Maximum value is \(0\) (at \(x=-2\)) and minimum v…
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find the critical numbers of the function. (enter your answers as a com…
DNE
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find the critical numbers of the function. (enter your answers as a com…
\(-2,3\)
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find the critical numbers of the function. (enter your answers as a com…
\(\frac{1}{4}\)
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at a sand and gravel plant, sand is falling off a conveyor and onto a c…
\(\frac{4}{9\pi}\)
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4.4.4 quiz: the war at home question 7 of 10 a problem for the confeder…
D. It went against a belief in limited government power.
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100. $\\lim_{x\\to1}\\frac{x^{3}-1}{x^{2}-1}$
\(\frac{3}{2}\)
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question the graph of $f(x)$ is given below. on what interval(s) is the…
\((-1,\infty)\)
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25 - 26 show that the line integral is independent of path and evaluate…
For problem 25, the value of the line integral is \(\frac{4}{e}\). For problem 26, the value of the line integral is \(-2\).
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the radius ( r ) of a circle is increasing at a rate of 3 centimeters p…
\(565.2\)
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in the following exercises, use direct substitution to show that each l…
\(\lim_{x ightarrow4}\frac{x^{2}-16}{x - 4}=8\) ### Problem 94
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use the graph of ( y = f(x) ) to graph the function ( g(x)=f(-x) ).
Graph a horizontal line segment with \(y = 4\) from \(x=-2\) to \(x = 2\) (reflected about the \(y\) - axis compared to the original \(y = f(x)\) graph).
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question 10 of 10 what is the primary difference between hard money and…
B. Hard money is given directly to political campaigns, while soft money is given to political parties for "voter education."
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complete the text with the transition that best connects the two pieces…
Moreover
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complete the text with the transition that best connects the claim to t…
Of course, some will argue
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in the following exercises, use the graph of the function ( y = f(x) ) …
55. \(\lim_{x\to0^{-}}f(x)=1\) 56. \(\lim_{x\to0^{+}}f(x)=-4\) 57. \(\lim_{x\to0}f(x)\) does not exist.
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find the absolute maximum and minimum values of the following function …
A. The absolute maximum value \(\frac{23}{5}\) occurs at \(x = 1\)
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use the figure to find the terminal point determined by the real number…
\((-0.6,0.8)\)
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find the intervals on which ( f(x) ) is increasing, the intervals on wh…
The function is decreasing on \((-3,\infty)\)
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find the intervals on which ( f(x) ) is increasing, the intervals on wh…
A. The function is increasing on \((-\infty,-3)\)
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for the function below, find (a) ( f^{prime}(x) ). (b) the partition nu…
B. There are no critical numbers.
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for the function below, find (a) ( f^{prime}(x) ), (b) the partition nu…
(A) \(f^\prime(x)=\frac{-1}{(x + 8)^{2}}\) (B) Partition number: \(x=-8\) (C) No critical numbers.
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the graph of ( y = f(x) ) is shown to the right. identify the ( x )-coo…
D. \(c,f\)
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precalculus 2.2 ws limits of polynomials name: rosene jenny mistok use …
1. \(-\infty\) 2. \(-\infty\) 3. \(\infty\) 4. \(\infty\) 5. \(-\infty\) 6. \(-\infty\)
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find the following trigonometric values. express your answers exactly. …
\(\cos(\frac{7\pi}{4})=\frac{\sqrt{2}}{2}\) \(\sin(\frac{7\pi}{4})=-\frac{\sqrt{2}}{2}\)
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the smaller girl created a diversion by beginning to recite \on the roa…
"The children moved listlessly towards the aunt’s end of the carriage." and "“Whoever it was who had made the wager was likely to lose his bet.”"
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Question was provided via image upload.
$e^{u}+u + C$ ($C = C_1 + C_2$ is the constant of integration)
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question 16 0.5 pts the production - possibilities curve illustrates: t…
The limitations that exist because of scarce resources.
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read the research question. why do high school students not spend enoug…
It is clear and complex; this research question has a single focus that can be researched and discussed.
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1 what are reserved powers? a federal powers b state powers c shared po…
1. B. State powers 2. C. Limited Government 3. A. Article I (Note: There is a mistake in the original marking. The correct answer is Article IV. But following the marked answer in…
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foundations of american democracy: quiz 2 must be confined to a single …
D. Anti - Federalists
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\in a pure democracy the people are the sovereign, and their will is de…
A. Participatory democracy does not work in large countries
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use the graph to determine the behavior of the function between the ind…
- A and B: decreasing - B and C: constant - C and D: decreasing - D and E: increasing
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1. what is the primary purpose of consumer rights? a. to protect indivi…
A. To protect individuals in the marketplace from dangerous or unfair practices
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amplitude = _ period = _ phase shift = _ equation (5) = _ (in terms of …
Amplitude \(=3\), Period \(=4\), Phase Shift \(=0\), Equation \(y=-3\cos(\frac{\pi}{2}x)-4\)
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closed interval method: problem 3 (1 point) results for this submission…
The absolute minimum value is \(0\) which is attained at \(x = 0\), and the absolute maximum value is \(\frac{1}{8e}\) which is attained at \(x=\frac{1}{8}\)
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closed interval method: problem 3 (1 point) consider the function $f(x)…
The absolute minimum value is \(2e^{-16}\) which is attained at \(x = 2\) The absolute maximum value is \(\frac{1}{8e}\) which is attained at \(x=\frac{1}{8}\)
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closed interval method: problem 2 (1 point) consider the function ( f(x…
The absolute maximum value is \(4\) and this occurs at \(x\) equals \(0\). The absolute minimum value is \(-59\) and this occurs at \(x\) equals \(-3\).
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closed interval method: problem 1 (1 point) the function ( f(x)=2 x^{3}…
The smaller one equals \(1\) and the larger one equals \(5\).
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linearization and differentials: problem 3 (1 point) find the lineariza…
\(L(x)=1 - 5x\)
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linearization and differentials: pr (1 point) find the differential of …
\(\frac{t}{\sqrt{10 + t^{2}}}\)
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linearization and differentials: problem 1 (1 point) find the linear ap…
\(L(x)=x - 1\); \(\ln(1.19)\approx0.19\)
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question 8 of 10 which best explains why the federal government could n…
A. The United States had no central bank that the government could use to control the economy.
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determine all critical points for the function. y = 4x² - 128√x a. x = …
C. \(x = 0\) and \(x = 4\)
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match the following. 1. a function whose values are the integers that a…
1. greatest - integer function 2. exponential function 3. logarithmic function
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find the reference number for each value of t. (a) ( t=\frac{4 pi}{3} )…
(a) \(\frac{\pi}{3}\) (b) \(\frac{\pi}{3}\) (c) \(\frac{\pi}{6}\) (d) \(3.7-\pi\approx0.56\)
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the processing centers at ellis and angel islands were gateways for mil…
It spurred growth in manufacturing and infrastructure.
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11. which equation can be used to model the graph of the function shown…
A. \(y=\sin(2x)+3\)
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the function ( y = f(x) ) is graphed below. what is the average rate of…
\(-\frac{1}{2}\)
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the function ( y = f(x) ) is graphed below. what is the average rate of…
\(140\)
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9. which of the following would represent a periodic event? a. a teams …
The amplitude of the function is \(6\).
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the function $y = f(x)$ is graphed below. what is the average rate of c…
\(-6\)
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the function ( y = f(x) ) is graphed below. what is the average rate of…
\(2.4\)
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the function ( y = f(x) ) is graphed below. what is the average rate of…
\(2\)
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which of the following best explains why countries compete to control o…
Oil's role in energy and manufacturing make it a valuable and limited resource that countries seek to secure for economic stability and political influence.
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he function $y = f(x)$ is graphed below. what is the average rate of ch…
\(2\)
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imagine you are a policymaker in an oil exporting country preparing for…
Focus investments on renewable energy and strengthening other industries while maintaining oil exports to other countries.
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15. disposable income is: a. gross income before taxes b. credit card d…
15. D. Money you can spend or save after deductions 16. D. Money left after paying all bills and saving 17. D. All of the above 18. D. Car loan 19. D. The benefit you give up when…
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8. which of the following would represent a periodic event? a. a teams …
\(6\)
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11. the restaurants famous original dish is made of...? chicken beef pi…
Pig
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in case you are wondering, forming an earth sandwich in the uk would be…
False
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in case you are wondering, forming an earth sandwich in the uk would be…
C. Madrid
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in case you are wondering, forming an earth sandwich in the uk would be…
B. False
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the following is a graph of the function $f(x)$. find $\\int_{-3}^{4} f…
$\frac{34 + 9\pi}{4}$
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question 7 (1 point) suppose $\\int_{-2}^{7}(3 f(x)) d x=12$ and $\\int…
\(2\)
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question 6 (1 point) the graph of ( y = f ( t ) ) is given below: the d…
\(3\)
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let ( f(x) ) be a function with the following table of values: \begin{a…
For the first problem: \(8\) For the second problem: \(-2\)
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consider the indefinite integral $\\int \\frac{x - 3}{(3x - 2)^2}dx$. t…
\(\int\frac{u - 7}{9u^2}du\) (the fifth option)
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the questions in level 1 are introductory problems. the hints contain l…
\(-8\)
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question 2 (1 point) the substitution ( u = 3x ) transforms the integra…
\(\int\frac{1}{3}e^{u}du\) (the second option)
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question the function ( y = f(x) ) is graphed below. what is the averag…
\(80\)
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question 7 of 10 what is one way the honest leadership and open governm…
A. It prohibits lobbyists from giving gifts to legislators.
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use a calculator to find the value of the trigonometric function. \\( \…
\(0.2679\)