371 Answered Questions for the topic Calculus 2

12/01/21

Why isn't this series convergent?
Hello! I'm trying to solve the following series through the alternating series test:cos(n pi) / n^(1/n), with the series starting at 1 and going to infinity. I started by finding the first... more
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07/25/21

calc 2 parametrization for a curve
Find a parametrization for the curve described below.the line segment with endpoints (-2,-4) and (-7,1)
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Calculus 2 Math Calculus Sequence

07/10/21

Series and sequences
Suppose that (b_n) is a sequence of real numbers such that:(b_n) = (17, -21, 4, -2, 1...) and lim of b_n as n approaches ∞ equals 4Find s = ∞ ∑ n=1 (b_(n+1) − b_(n))If the series does not converge,... more
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04/12/21

my question has to do with mixed integrals
how do you take the integral of∫1/(x√x2−4 dx)
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04/11/21

Find the absolute maximum and minimum values of the function over the indicated​ interval, and indicate the​ x-values at which they occur.
Find the absolute maximum and minimum values of the function over the indicated​ interval, and indicate the​ x-values at which they occur.f(x)=2x+9​(A) ​[0​,8​]    ​ (B) [−2,5]​(A) Find the first... more
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04/11/21

Find the absolute maximum and​ minimum, if either​ exists, for f(x)=x^2−14x+3. Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.
Find the absolute maximum and​ minimum, if either​ exists, for f(x)=x2−14x+3.Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.A.The absolute... more
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Calculus 2 Calculus Calc Calculus 1

04/11/21

Find the absolute maximum and minimum values of the function over the indicated​ interval, and indicate the​ x-values at which they occur. f(x)=x2−2x−1​; [0,4]
Find the absolute maximum and minimum values of the function over the indicated​ interval, and indicate the​ x-values at which they occur. f(x)=x2−2x−1​; [0,4]The absolute maximum value is... more
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Calculus 2 Calculus Calculus Calc

04/11/21

11.5.35 Find the absolute minimum value on​ [0, ∞​) for f(x)=x^2−6x+8. Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.
Find the absolute minimum value on​ [0, ∞​) for f(x)=x^2−6x+8.Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.A.The absolute minimum is... more
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04/08/21

A curve is described by the parametric equations x = t^2 + 2t and y = t^3 + t^2. An equation of the line tangent to the curve at the point determined by t = 1 is...?
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03/19/21

Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)= 10e^x+2x​; x=0
Find the equation of the line tangent to the graph of f at the indicated value of x.f(x)= 10e^x+2x​; x=0y= _________
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03/19/21

10.2: Find the equation of the line tangent to the graph of f at the indicated value of x.
Find the equation of the line tangent to the graph of f at the indicated value of x.f(x)= 9 − 2 ln x​; x=1y= ______
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03/18/21

10.1: ​Recently, a certain bank offered a 10​-year CD that earns 14.15​% compounded continuously. ​(a) If $50,000 is invested in this​ CD, how much will it be worth in 10 ​years?

​Recently, a certain bank offered a 10​-year CD that earns 14.15​% compounded continuously.​(a) If $50,000 is invested in this​ CD, how much will it be worth in 10 ​years?approximately ​$________... more
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Calculus 2 Calculus Finance Calc

03/16/21

Q10.3: Differentiate the following function. y=x^12 e^x

Differentiate the following function. y=x^12 e^x dy/dx=
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Calculus 2 Calculus Finance Calc

03/16/21

Q10.4: The rate of change of pressure at the end of 20 years is _______ ​mm/year. ​(Type an integer or decimal rounded to the nearest hundredth as​ needed.)
A research group using hospital records developed an approximate mathematical model relating systolic blood pressure and age.P(x)=50+25ln(x+3) 0≤x≤65​P(x) is pressure measured in millimeters of... more
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03/16/21

​Recently, a certain bank offered a 10​-year CD that earns 11.1​% compounded continuously. Use the given information to answer the questions.
​Recently, a certain bank offered a 10​-year CD that earns 11.1​% compounded continuously.Use the given information to answer the questions.​(a) If $20,000 is invested in this​ CD, how much will it... more
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03/15/21

​Recently, a certain bank offered a 5​-year CD that earns 2.43​% compounded continuously. ​(a) If $20,000 is invested in this​ CD, how much will it be worth in 5 ​years?
​Recently, a certain bank offered a 5​-year CD that earns 2.43​% compounded continuously.​(a) If $20,000 is invested in this​ CD, how much will it be worth in 5 ​years?approximately ​$________ ... more
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Calculus 2 Calculus Finance Calc

03/15/21

Find the marginal revenue function. ​R(x)=x(29−0.03x)
Find the marginal revenue function.​R(x)=x(29−0.03x)R′(x)= ______
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Calculus 2 Calculus Finance Calc

03/15/21

Find the marginal cost function. ​C(x)=210+3.3x−0.07x^2
Find the marginal cost function.​C(x)=210+3.3x−0.07x^2C′(x)= _______
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Calculus 2 Calculus Finance Calc

03/15/21

9.7: The total cost​ (in dollars) of producing x food processors is ​C(x)=2500+70x−0.1x^2.
The total cost​ (in dollars) of producing x food processors is ​C(x)=2500+70x−0.1x^2.​(A) Find the exact cost of producing the 71st food processor.​(B) Use the marginal cost to approximate the cost... more
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03/10/21

If an object moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by f(x)=240x−16x^2​, find the following.
If an object moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by f(x)=240x−16x^2​, find the following.​(A) The instantaneous velocity function... more
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03/10/21

Find the marginal average cost function if cost and revenue are given by ​C(x)=144+5.8x and R(x)=9x−0.07x^2.
Find the marginal average cost function if cost and revenue are given by ​C(x)=144+5.8x and R(x)=9x−0.07x^2.The marginal average cost function is C′(x)= ______________
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03/10/21

Find the marginal profit function if cost and revenue are given by ​C(x)=224+0.8x and R(x)=6x−0.05x^2.
Find the marginal profit function if cost and revenue are given by ​C(x)=224+0.8x and R(x)=6x−0.05x^2.P′(x)= ________
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03/10/21

Find the profit function if cost and revenue are given by ​C(x)=128+2.4x and R(x)=8x−0.03x^2
Find the profit function if cost and revenue are given by ​C(x)=128+2.4x and R(x)=8x−0.03x^2The profit function is ​P(x)= ________
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03/10/21

Find the marginal revenue function.
Find the marginal revenue function.​R(x)=x(17−0.05x)R′(x)= _________
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03/10/21

9.7.11 Find the marginal cost function
Find the marginal cost function.​C(x)=210+3.3x−0.07xC′(x) = ____________
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