6,196 Answered Questions for the topic calculus

Evaluating limits

Evaluate  . You must show your work to receive credit. 

Find simplified form for f [g(x)]

For  and  , find the simplified form for f [g(x)] and state the domain. 

The equation of motion of a particle is s(t)=t^3−3t, where s is in meters and t is in seconds. Assume that t≥0.

Find the acceleration when velocity is zero.

The table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours.

Estimate the value of T'(6). Give units in your answer. What is the meaning of T'(6)? t 0 2 4 6 8 10 12 14 T 73 73 70 68 73 80 86 89

Differentiate the equation

Find  by implicit differentiation for ycos(x) = xcos(y).

Find the x-coordinates where f '(x) = 0 for f(x) = 2x – sin(2x) in the interval [0, 2π].

Find the x-coordinates where f '(x) = 0 for f(x) = 2x – sin(2x) in the interval [0, 2π].Thank you so much in advance!

integrals Question

Find f.f"(x) = −2 + 12x − 12x2,    f(0) = 9,    f'(0) = 14

integrals question

Find ff "(x) = 20x3 + 12x2 + 4,     f(0) = 1,    f(1) = 3

I need help with integral please

Evaluate

I need help with integral please

Please write the Riemann sum to find the area under the graph of the function f(x) = x2 from x = 1 to x = 5. Options:

I need help with integral please

The Riemann sum,  , is equivalent to  with  .Please write the integral that produces the same value as  .Options:

Find the derivative of f(x)

Find f'(x) for f(x) = ln(x3 + e4x).

Find the derivative of f(x)

Find f'(x) for f(x) = cos2(3x3).

The table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours.

Estimate the value of T'(6). Give units in your answer. What is the meaning of T'(6)? t 0 2 4 6 8 10 12 14 T 73 73 70 68 73 80 86 89

The cost in dollars of producing x units of a particular telephone is C(x) = x^2 - 2500.

a.) Find the average rate of change of C with respect to x when the production level is changed from x = 100 to x = 103. Include units in your answer. b.) Find the instantaneous... more

A ball's position, in meters, as it travels every second is represented by the position function s(t) = 4.9t^2+ 350.

What is the velocity of the ball after 2 seconds? Include units in your answer.

Evaluating limits

Find  . You must show your work or explain your work in words.

Evaluating Limits

Find  . You must show your work or explain your work in words.
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