微积分
极限、导数、最优化与函数性质。
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match the function with its graph. $y=-2\\sin(x)$
The green - colored graph (the third graph in the image) is the graph of \(y=-2\sin(x)\)
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quiz 5: trig, exponential & logarithmic functions 6 points possible ans…
Period: \(2\pi\) Amplitude: \(1\) Phase Shift: \(\frac{\pi}{2}\) units to the right Vertical Shift: \(0\)
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the volume of a cantaloupe is approximated by ( v=\frac{4}{3}pi r^{3} )…
\(249.3\)
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the volume of a cantaloupe is approximated by ( v=\frac{4}{3}pi r^{3} )…
\(627.0\)
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question 6 this is what we know so far: function: ( f ( x ) = sqrt 3 { …
| Intervals | Sign of \(f^{\prime}\) | Monotonicity | |---|---|---| | \((-\infty,1)\) | Negative (\(<0\)) | Decreasing | | \((1,3)\) | Negative (\(<0\)) | Decreasing | | \((3,5)\)…
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question 5 this is what we know so far: function: $f(x)=\\sqrt3{x^{3}-6…
\(x = 1\) and \(x = 3\) and \(x = 5\)
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why did william marbury most likely support the judiciary act of 1789? …
It allowed Marbury to take his case to the Supreme Court.
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which is the best definition of \supremacy\? highest authority limitles…
highest authority
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read the excerpt from marbury v. madison below. if two laws conflict wi…
the principle of judicial review.
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in a trend that scientists attribute, at least in part, to global warmi…
\(-22239\)
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amount of money, and the way in which it stoned and bulged her worn old…
third - person limited
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use the direct comparison test to determine whether the following serie…
D. The Direct Comparison Test with \(\sum_{n = 1}^{\infty}\frac{1}{n^{7/2}}\) shows that the series converges.
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use the integral test to determine whether the series shown below conve…
B. The series diverges because the conditions of the Integral Test are satisfied and the value of the integral \(\int_{0}^{\infty}\frac{5}{\sqrt{x + 2}}dx\) is \(\infty\)
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does the sequence \\( \\{ a _ { n } \\} \\) converge or diverge? find t…
B. The sequence diverges.
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use any method to determine if the series converges or diverges. give r…
A. The series diverges because the limit used in the nth - Term Test is \(\infty\)
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use the root test to determine if the following series converges absolu…
Since the limit resulting from the Root Test is \(0\), which is less than \(1\), the series \(\sum_{n = 1}^{\infty}\frac{5}{(8n + 7)^{n}}\) converges absolutely.
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determine if the series converges or diverges. give a reason for your a…
C. The series diverges because the limit found in the nth - Term Test is \(\frac{2}{3}\)
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what is the purpose of setting up an inequality in a real - world scena…
A. To model limits or boundaries
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the ____ point of view offers the reader an \insiders view\ of the thou…
B. third - person limited
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what does the term \boundary\ refer to in an inequality? a. the equatio…
c. The limit or maximum/minimum value
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find the exact value. cos\\frac{3\\pi}{2}
\(0\)
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find the exact value. cos 3π
\(-1\)
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find the exact value. cos\\frac{11\\pi}{6} type + or - \\frac{\\sqrt{}}…
\(+\frac{\sqrt{3}}{2}\)
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find the exact value of the expressions $\\cos(\\alpha+\\beta)$, $\\sin…
\(\frac{- 416}{425}\)
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b. debating the limits of online speech. schools have to protect studen…
A. Y B. N C. Y D. Y E. Y F. Y G. Y H. Y
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legal reference sheet name speech and the first amendment a. speaking t…
1. F 2. F 3. T 4. T 5. F 6. F 7. T
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which of the following is the value of $e^{2}$ correct to 3 decimal pla…
For the first question: \(7.389\) For the second question: \(6.197\)
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find the values of x for which the geometric series converges. also, fi…
The series converges for \(1\lt x\lt3\). The sum of the series is \(S(x)=\frac{1}{x - 1}\), for \(x\in(1,3)\).
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find the exact value. \\( \\sin \\frac { - 4 \\pi } { 3 } \\) type + or…
$+\frac{\sqrt{3}}{2}$
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find the exact value. \\( \\sin \\frac { - 7 \\pi } { 6 } \\) type + or…
\(+\)
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find the values of x for which the given geometric series converges. al…
The series converges for \(x\) such that \(-\frac{1}{8}\lt x\lt\frac{1}{8}\). The sum of the series is \(\frac{1}{1 - 8x}\) for \(x\in(-\frac{1}{8},\frac{1}{8})\)
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5. let ( f(x)=5 x^{4} ) and ( g(x)=e^{2 x}+x ). if ( h ) is the functio…
\(h^{\prime}(x)=20(e^{2x}+x)^{3}(2e^{2x}+1)\)
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which of the following statements about digital medias effect on politi…
- "Digital media can make it easier for individuals to limit their news exposure to only sources that confirm their preexisting views." - "Digital media can make the spreading of …
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for the given geometric series, write out the first few terms of the se…
\(-1 < x<1\)
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for the given geometric series, write out the first few terms of the se…
\( |x|<1 \)
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2. if ( f(x)=(e^{3 x}+sin (2 x))^{4} ), then ( f^{prime}(x)= ) (a) ( 4l…
\(4(e^{3x}+\sin(2x))^{3}(3e^{3x}+2\cos(2x))\), so the answer is A.
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which graph represents the function f(x)=4·3^x?
C
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f(θ)=sin(θ),g(θ)=cos(θ). find the exact value of the function -g(-θ) if…
\(-\frac{\sqrt{2}}{2}\)
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determine whether the series (sum_{n = 0}^{infty}\frac{4^{n}-2^{n}}{5^{…
C. The series converges because it is the difference between two geometric series, each with \(|r|\lt1\). The sum of the series is \(\frac{10}{3}\)
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if ( f(\theta)=cos (\theta) ), find the exact value of the function ( f…
A. \(f(30)=\frac{\sqrt{3}}{2}\)
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use the nth - term test for divergence to show that the series is diver…
C. The series diverges because \(\lim_{n\to\infty}\ln\frac{1}{n}=-\infty\) and fails to exist.
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enter the coordinates of the point on the unit circle at the given angl…
\((0,-1)\)
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review this quote from the decision in marbury v. madison. it is emphat…
It explains that the Supreme Court should decide whether a law or action is constitutional.
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enter the coordinates of the point on the unit circle at the given angl…
The number in the green box is \(3\), and the number in the gray box is \(2\).
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enter the coordinates of the point on the unit circle at the given angl…
\((-\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})\)
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use the nth - term test for divergence to show that the series is diver…
B. The series diverges because \(\lim_{n ightarrow\infty}\cos\frac{12}{n}\) exists and is equal to \(1\)
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enter the coordinates of the point on the unit circle at the given angl…
\((\frac{1}{2},-\frac{\sqrt{3}}{2})\) So the number in the green box is \(2\) and the number in the grey box is \(3\)
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use the nth term test for divergence to show that the series is diverge…
D. The test is inconclusive because \(\lim_{n ightarrow\infty}\frac{1}{n + 14}=0\)
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1. let ( f(x)=x^{3} ) and ( g(x)=\frac{x}{x - 1} ). if ( h ) is the fun…
B. \(3(g(x))^{2}=\ 3(\frac{x}{x - 1})^{2}\frac{x-(x - 1)}{(x - 1)^{2}}\)
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find the equation of all horizontal asymptotes (if any) of the rational…
A. The function has one horizontal asymptote, \(y=\frac{4}{17}\)
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find the equation of all horizontal asymptotes (if any) of the rational…
C. The function has no horizontal asymptotes.
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find the equation of all horizontal asymptotes (if any) of the rational…
B. The function has one horizontal asymptote, \(y = 0\)
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find the exact value of the following expression. \tan left( \frac { 11…
\(-(\sqrt{3}+2)\)
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determine the period.
\(17\)
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determine the period.
\(5\)
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determine the period.
\(12\)
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determine the period.
6
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determine the period.
\(3\)
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does the sequence \\( \\{ a _ { n } \\} \\) converge or diverge? find t…
B. The sequence diverges.
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does the sequence \\( \\{ a _ { n } \\} \\) converge or diverge? find t…
The sequence \(\{a_{n}\}\) converges and \(\lim_{n ightarrow\infty}a_{n}=4\)
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does the sequence \\( \\{ a _ { n } \\} \\) converge or diverge? find t…
A. The sequence converges to \(\lim_{n ightarrow\infty}a_{n}=6\)
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a point on the terminal side of an angle θ in standard position is (-2,…
\(\cot\theta=\frac{1}{3}\)
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a point on the terminal side of an angle 0 in standard position is (-2,…
A. \(\sec\theta=-\sqrt{10}\)
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in framing a government which is to be administered by men over men, th…
Giving the government enough power while creating limitations.
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a point on the terminal side of an angle θ in standard position is (-2,…
\(\tan\theta = 3\)
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a point on the terminal side of an angle θ in standard position is (-2,…
\(-\frac{\sqrt{10}}{10}\)
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find the exact value of the following expression. tan(11π/6 + 3π/4) fin…
$-2-\sqrt{3}$
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a point on the terminal side of an angle θ in standard position is (-2,…
\(\sin\theta=-\frac{3\sqrt{10}}{10}\)
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the function ( f(x)=\frac{3}{x + 1} ) is a rational function a find all…
A. The function has one vertical asymptote, \(x=-1\)
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the point given below is on the terminal side of an angle θ in standard…
\(\frac{5}{4}\)
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match the terms on the left with their definitions on the right. bill o…
bill of rights - a document that protects rights and limits government powers influential - powerful and able to control something faction - a group that strongly disagrees with a…
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the point given below is on the terminal side of an angle \\( \\theta \…
\(-\frac{4}{3}\)
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which statement is true about the end behavior of the graphed function?…
As the \(x\) - values go to positive infinity, the function’s values go to negative infinity.
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the point given below is on the terminal side of an angle θ in standard…
\(\frac{4}{5}\)
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use a calculator to find the approximate value of the expression sin 1 …
\(0.84\)
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which statement is true about the end behavior of the graphed function?…
As the \(x -\)values go to positive infinity, the function's values go to positive infinity.
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in the following problem, the expression is the right side of the formu…
\(\frac{\sqrt{2}}{2}\)
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the screen to the right shows how to define the inverse secant, cosecan…
A.
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which statement is true about the local minimum of the graphed function…
Over the interval \([-4,-2]\), the local minimum is \(0\).
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give the degree measure of \\( \\theta \\) if it exists. do not use a c…
A. \(\theta = 30^{\circ}\)
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which statement is true about the graphed function? o f(x) < 0 over the…
\(F(x)>0\) over the interval \((-\infty,-4)\)
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what is the local maximum over the interval -3,1.5 for the graphed func…
\(56\)
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which interval for the graphed function has a local minimum of 0? mark …
\([2,4]\)
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find the exact values of the six trigonometric functions of the given a…
\(\sin\frac{23\pi}{2}=-1\)
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consider the inverse cosine function, defined by ( y=cos ^{-1} x ) or (…
A. Because \(-\frac{4\pi}{3}\) is not in the range of \(y = \arccos x\)
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consider the inverse cosine function, defined by ( y = cos^{-1}x ) or (…
(a) The domain of \(y = \arccos x\) is \([-1,1]\) (b) The range of \(y=\arccos x\) is \([0,\pi]\) (c) The function \(y=\arccos x\) is decreasing.
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consider the inverse cosine function, defined by ( y = cos^{-1}x ) or (…
\([-1,1]\)
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consider the inverse cosine function, defined by ( y = cos^{-1}x ) or (…
\([0,\pi]\)
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find the maclaurin series for the given function \\( \\sin 8 x \\) \\( …
B. \(\sum_{n = 0}^{\infty}\frac{(-1)^{n}8^{2n+1}x^{2n + 1}}{(2n+1)!}\)
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consider the inverse cosine function, defined by ( y = cos^{-1}x ) or (…
\([0,\pi]\)
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which statement is true about the graphed function? o f(x) < 0 over the…
\(f(x)<0\) over the intervals \((-\infty,-0.7)\) and \((0.76,2.5)\)
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which statements apply to the financing of a political campaign and the…
Individual donors can contribute up to a set amount and no more, Campaigns are financed by public and private donations, Finance laws require that donors and the amounts given be …
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find the maclaurin series for the given function $e^{5x}$ a. $sum_{n = …
C. \(\sum_{n = 0}^{\infty}\frac{5^n x^n}{n!}\)
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consider the inverse cosine function, defined by ( y = cos^{-1}x ) or (…
\([-1,1]\)
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find the taylor polynomial of order 3 generated by f at a $f(x)=x^{2},a…
C. \(P_{3}(x)=16 + 8(x - 4)+(x - 4)^{2}\)
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consider the inverse cosine function, defined by ( y = cos^{-1}x ) or (…
\([-1,1]\)
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what is the local maximum over the interval -3,15 for the graphed funct…
\(56\)
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find the maclaurin series for the given function what is the maclaurin …
\(\sum_{k = 0}^{\infty}8(-1)^{k}x^{k}\)
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which interval for the graphed function contains the local maximum? o -…
\([-1,0]\)
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use an identity to write the expression as a single trigonometric funct…
\(\sin9x\)