375 Answered Questions for the topic Calculus 2

Calculus 2 Calculus

01/28/22

#### Find the area between the graphs of.....(calc 2 question)

Find the area between the graphs of ƒ(x)=cos(x) and g(x)= sin(2x) over the interval [-pi/2, pi/2]. Recall, the area between two curves on the interval [a,b] is ∫ab | ƒ(x)-g(x) | dx. It is a very... more

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

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)
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

04/12/21

#### my question has to do with mixed integrals

how do you take the integral of∫1/(x√x2−4 dx)

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

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
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
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

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= _________

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= ______

03/18/21

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
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)= ______
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)= _______
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

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

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)= ______________

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)= ________

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)= ________

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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