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...
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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...
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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)

#### 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,...
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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...
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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...
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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. 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...
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#### 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...
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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= _________

#### 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

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

Differentiate the following function. y=x^12 e^x dy/dx=

#### 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≤65P(x) is pressure measured in millimeters of...
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#### 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...
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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 $________ ...
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#### Find the marginal revenue function. R(x)=x(29−0.03x)

Find the marginal revenue function.R(x)=x(29−0.03x)R′(x)= ______

#### 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)= _______

#### 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...
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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...
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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)= ______________

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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