微積分
極限、導數、最優化與函數性質。
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given the equation below, find $\\frac{dy}{dx}$. $18x^{10}+2x^{45}y + y…
\(\frac{dy}{dx}=\frac{-180x^{9}-90x^{44}y}{2x^{45}+7y^{6}}\)
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use implicit differentiation to find \\( \\frac { d y } { d x } \\) wit…
\(\frac{dy}{dx}=-\frac{x^{5}}{y^{5}}\)
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homework assignment #6 current score: 20/25 points category: quiz next …
Holes: \(x=\text{DNE}\) Vertical Asymptotes: \(x=-10\), \(x = 9\)
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homework assignment #6 category: quiz current learning objective: ident…
C. \(x =-\frac{5}{3},x=-1\)
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question 20 practice similar questions score: 0 of 1 point katelyn can …
\(6\)
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category: quiz current learning objective: using arrow notation questio…
B. as \(x\to0^{+},f(x)\to-\infty\), and as \(x\to0^{-},f(x)\to-\infty\)
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given the function ( g(x)=8 x^{3}-12 x^{2}-48 x ), find the first deriv…
\(g^\prime(x)=24x^{2}-24x - 48\) \(g^{\prime\prime}(x)=48x - 24\) \(g^{\prime\prime}(2)=72\) At \(x = 2\) the graph of \(g(x)\) is concave up At \(x = 2\) there is a local minimum
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given the function $g(x)=8x^{3}-12x^{2}-48x$, find the first derivative…
\(g'(x)=24x^{2}-24x - 48\) \(g''(x)=48x - 24\) \(g''(2)=72\) At \(x = 2\) the graph of \(g(x)\) is concave up. At \(x = 2\) there is a local minimum.
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how does the reader know that this passage is written in the third - pe…
C. The focus of the narration is on one character's thoughts and feelings that are told from an outside perspective.
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question 3 of 5 what point of view is \the yellow wallpaper\ told from?…
C. First - person
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homework assignment # 6 category: quiz current score: 4/25 points curre…
$125$
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math 1111 - 08 > assignments > homework assignment # 6 homework assignm…
\(-4x^{3}+8x^{2}+72x + 90+\frac{736}{x - 8}\)
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1.3.3 quiz: understand theme and point of view janelles audition was in…
B. Third - person limited
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to what extent did \enlightened absolutist\ rulers implement enlightenm…
Most paid lip service to Enlightenment ideas without putting them into practice.
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question 3 of 10 how does a third - person omniscient narrator differ f…
D. A third - person omniscient narrator can see all the characters' actions and know their thoughts, while a third - person limited narrator has insight into only one character.
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question 2 of 10 which kind of narrator knows the thoughts and sees the…
D. Third - person omniscient
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question 1 of 10 what is a limitation of the first - person narrator? a…
C. The narrator might not be aware of the thoughts or actions of other characters.
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11. what is the difference between tracking and mainstreaming?
| Strategy | Argument for | Argument against | |--|--|--| | Tracking | Tailored instruction by ability | Stigmatization, limited opportunities | | Mainstreaming | Inclusion, socia…
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11. given ( f(x)=\frac{2 x - 4}{x^{2}-x - 6} ) a. state vertical asympt…
A. Vertical asymptotes: \(x = 3\) and \(x=-2\) B. Horizontal asymptote: \(y = 0\) C. \(x\) - intercept: \((2,0)\); \(y\) - intercept: \((0,\frac{2}{3})\) D. \(\lim_{x ightarrow\in…
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8. given ( y = x^{2}+5x - 6 ), show that the average rate of change bet…
The average rate of change of \(y=x^{2}+5x - 6\) from \(x = 4\) to \(x=(4 + h)\) is \(h + 13\) as shown above.
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limit the number of ______ in the work area to those directly involved.…
people
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question 9 of 10 which of the following is most likely to be a relative…
A. \((3, - 4)\)
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14. given ( f(x)=x^{3}-7 x^{2}+12 x ). a. determine whether the functio…
The function \(f(x)=x^{3}-7x^{2}+12x\) is neither even nor odd. # B. Use limits to describe the end - behavior of the function.
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find the average rate of change of the function from x₁ to x₂ f(x)=6x +…
\(6\)
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question 9 of 10 which of the following is most likely to be a relative…
C. \((-1,8)\)
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question 10 (3 points) use the first principles definition to determine…
\(f^{\prime}(x)=-\frac{a}{(ax + b)^{2}}\)
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question 9 (3 points) determine the equation of the tangent to ( f(x)=x…
The equation of the tangent line is \(y = 3x-1\)
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question 10 (3 points) use the first principles definition to determine…
\(f^{\prime}(x)=\frac{-a}{(ax + b)^2}\)
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unit discovering implied meaning which sentence from the first handwrit…
The voyage here was long and difficult.
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solve the equation in the interval (0leq\theta<2pi). (sin(4\theta)+sin(…
The solutions in the interval \(0\leq\theta<2\pi\) are \(0,\frac{\pi}{3},\frac{\pi}{2},\frac{2\pi}{3},\pi,\frac{4\pi}{3},\frac{3\pi}{2},\frac{5\pi}{3}\) So the answer is \(0,\frac…
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question 4 (1 point) ✓ saved evaluate the limit for the graph: \\( \\li…
C. \(+\infty\)
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question 3 (1 point) evaluate the limit for the graph: \\( \\lim _{x \ …
A. \(0\)
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knowledge & understanding (8 marks) true/false question 1 (1 point) a l…
Question 1: True Question 2: False
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the logistic growth function ( f(t)=\frac{113,000}{1 + 5500e^{-t}} ) de…
a. \(21\) b. \(1111\) c. \(113000\)
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the graph below shows the value of ednas profits f(t), in dollars, afte…
Nine dollars per month
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the logistic growth function f(t)= 112,000 / (1 + 5600e^{-t}) describes…
a. \(20\) b. \(1082\) c. \(112000\)
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prehistoric cave paintings were discovered in a cave in france. the pai…
\(17523\)
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rewrite the equation in terms of base e. express the answer in terms of…
\(y = 110e^{1.589x}\)
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the logistic growth function $p(x)=\\frac{90}{1 + 271e^{-0.122x}}$ mode…
\(83.6\%\)
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problems 9 - 10: spiral review here is the function $h(x)$. write the c…
\((15,-5)\)
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the logistic growth function ( f(t)=\frac{110,000}{1 + 5500e^{-t}} ) de…
a. \(20\) people; b. \(1080\) people; c. \(110000\) people.
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use the formula ( t=\frac{ln 2}{k} ) that gives the time for a populati…
a. The country's growth rate is \(0.2\%\). b. It will take approximately \(347\) years for the country's population to double.
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problems 9 - 10: spiral review here is the function ( h(x) ). write the…
Coordinates of the minimum: \( (15,-5) \) Interval where the graph is decreasing: \( 0\leq x\leq15 \)
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you have 200 feet of fencing to enclose a rectangular plot that borders…
The length is \(100\) feet.
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identify the asymptotes. give your answers in exact form. do not round.…
## Part 1 of 2 Equation(s) of the vertical asymptote(s): \(x = \sqrt{5},x=-\sqrt{5}\) ## Part 2 of 2 Equation(s) of the horizontal asymptote(s): None Equation(s) of the slant asym…
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you have 200 feet of fencing to enclose a rectangular plot that borders…
\(50\)
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the graph of a polynomial function of degree n has, at most, ______ tur…
\(n - 1\)
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fill in the blanks so that the resulting statement is true. if ( r ) is…
If \(r\) is a zero of even multiplicity, then the graph touches the \(x\) - axis and \(\text{turns around}\) at \(r\). If \(r\) is a zero of odd multiplicity, the graph \(\text{cr…
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question 11 of 25 people are willing to pay a higher price if they beli…
A. limited
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the graph of a function f is given. use the graph to estimate the follo…
(a) Domain: \([-1,3]\), Range: \([-2,2]\) (b) Increasing: \([-1,1]\), Decreasing: \([1,3]\)
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question 4 of 25 what is the difference between a smart card and a cash…
B. A smart card is more secure than a cash card.
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which narrative point of view is shown in the passage? the radley place…
C. third person limited
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which narrative point of view is shown in the passage?harbor street, fi…
B. second person
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which narrative point of view is shown in the passage? pa and vernon ar…
first person
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question 8 of 10 what is the difference between a smart card and a cash…
B. A smart card is more secure than a cash card.
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which narrative point of view is shown in the passage? the door opened,…
first person
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which narrative point of view is shown in the passage? \weve got father…
C. third person limited
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determine the vertical asymptotes of the graph of the function. give yo…
$t=\frac{-4+\sqrt{19}}{3},t=\frac{-4-\sqrt{19}}{3}$
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6. ______ is how fast an objects position is changing with time at any …
Calculus
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which narrative point of view is shown in the passage? josé arcadio bue…
third person omniscient
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determine the vertical asymptotes of the graph of the function. give yo…
\(a=\frac{1}{3},a = 2\)
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which narrative point of view is shown in the passage? joy leapt in his…
D. third person omniscient
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which narrative point of view is shown in the passage? games aside, we …
first person
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which narrative point of view is shown in the passage?there is a brief …
second person
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which narrative point of view is shown in the passage? most men thought…
third person limited
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which narrative point of view is shown in the passage? \while,\ she sai…
B. second person
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which narrative point of view is shown in the passage? groves face, tur…
B. second person
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which narrative point of view is shown in the passage? the womans arms …
B. second person
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which narrative point of view is shown in the passage? this anselmo had…
third person limited
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which narrative point of view is shown in the passage? you will know me…
first person
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because unrestrained or limitless drilling can cause new problems, i ho…
C. It is wild and uncontrolled.
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find $(f^{-1})(2)$ if $f(x)=x^{3}-2x^{2}+5x - 1$
\(\frac{1}{4}\) (assuming a correction in the problem - if \(f(x)=x^{3}-2x^{2}+5x - 1\) and using the formula \((f^{-1})'(a)=\frac{1}{f'(f^{-1}(a))}\) with the closest integer roo…
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refer to the graph of the function and complete the statement. part: 0 …
\(-3\)
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what is the minimum value of ( f(x)=xln(x) )? a -e b -1 c ( -\frac{1}{e…
C. \(-\frac{1}{e}\)
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the graph of a twice - differentiable function f is shown in the figure…
\( f^{\prime\prime}(1)<f(1)<f^{\prime}(1) \), so the answer is D.
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cornucopia kohr - nuh - koh - pee - uh after months of the ships limite…
C. A large amount of different kinds of fruit.
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at which of the five points on the graph in the figure at the right are…
B. Option Text
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find the open interval(s) where the following function is increasing, d…
The function is decreasing on \((-\infty,3)\) and increasing on \((3,\infty)\)
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the function f is given by the graph below. step 2 of 2: determine the …
\(0,2\)
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the function f is given by the graph below. step 1 of 2: use the graph …
Local minimum at \(x=-7\), local maximum at \(x = - 2\)
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chapter 8 - global marketing please address the one bulleted item below…
Exporting: Pro - Low initial investment. Con - Vulnerable to tariffs and trade barriers. Licensing: Pro - Quick market entry. Con - Limited control over product and brand. Foreign…
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find the absolute maximum and minimum values of the following function …
The absolute minimum value \(\frac{27}{7}\) occurs at \(x=-1\).
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for the following function, a) give the coordinates of any critical poi…
a) Critical points: \((3,56)\) (relative maximum), \((5,52)\) (relative minimum). b) Increasing intervals: \((-\infty,3)\cup(5,\infty)\); Decreasing interval: \((3,5)\). c) Point …
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sketch the graph of the following function and determine whether the fu…
D. The function does not have any absolute extreme values on its domain.
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determine the horizontal asymptote of the function. if none exists, sta…
B. The function has one horizontal asymptote, \(y = 0\)
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differentiate implicitly to find \\( \\frac { d y } { d x } \\). then f…
\(\frac{dy}{dx}=\frac{9x - 2y}{x}\); The slope of the curve at \((2,8)\) is \(1\).
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find the derivative of the function: $f(x)=\frac{1}{sqrt{x^{3}}}$
\( f^\prime(x)=-\frac{3}{2\sqrt{x^{5}}} \) (the fourth option)
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consider the graph of ( f(x) ). what is the average rate of change of (…
\(\frac{4}{3}\)
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if ( f(x)=x(x + 1)(x - 2)^2 ), then the graph of ( f ) has inflection p…
C. -1 and 0 only
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if ( f(x)=x(x + 1)(x - 2)^2 ), then the graph of ( f ) has inflection p…
B. \(2\) only
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what is the average rate of change of ( f(x) ) from ( x_1 = 6 ) to ( x_…
\(0.46\)
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for the following exercises, use implicit differentiation to find \\( \…
\(\frac{dy}{dx}=\frac{x}{y}\) ---
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the function g is given by ( g(x)=4x^{3}+3x^{2}-6x + 1 ). what is the a…
A. -7
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for x>0, f is a function such that f(x)=\\frac{\\ln x}{x} and f(x)=\\fr…
C. \(f\) is increasing for \(x > 1\), and the graph of \(f\) is concave down for \(x > e\)
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the function f is given by the graph below. step 2 of 2: determine the …
\(6\)
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the function f is defined by ( f(x)=2x^{3}-4x^{2}+1 ). the application …
C. 10
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what is the average rate of change of ( f(x) ) from ( x_1=-2 ) to ( x_2…
\(0.33\)
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let ( f ) be the function defined by ( f(x)=2 x^{3}-3 x^{2}-12 x + 18 )…
D. \((\frac{1}{2},2)\)
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the function ( f ) has a first derivative given by ( f^{prime}(x)=x(x -…
A. -1 only
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what is a difference between a pac and a super pac? pacs can contribute…
PACs can contribute directly to candidates, but super PACs cannot.