370 Answered Questions for the topic AP Calculus

#### 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).

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:

#### 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 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.

Find an antiderivative of Options: x3 + C None of these

Find Options: Cannot be found ln(x2 + 1) (2x)ln(x4 + 1) (2x)ln(x4 + 1) - ln(5)

Write the definite integral for the summation: Options:

Please use the properties of sigma notation and the summation formulas to evaluate Options: 235 555 940 1865

#### I need help with integral please!

Is   true or false?

#### I need help with integral please!

Use your graphing calculator to evaluate to three decimal places the value of Options: 0.250 2.667 1.778 -3.251

#### I need help with integral please!

Evaluate the integral Options: -1 1 0 2

#### I need help with integral please!

Suppose  , and  , find the value of Options: 8 12 16 4

#### I need help with integral please!

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 - x2 and the x-axis?Options:

#### The graph of the derivative, f '(x) is shown below. On what interval is the graph of f (x) increasing?

Question options: 1) Increasing on (-∞, -4) U (2, ∞) 2)  Increasing on (-4, 2) 3)  Increasing on (-1, ∞) 4)  Increasing on (0, ∞ )

#### Where is the second derivative of y = 4xex equal to 0?

Question options: 1) -4 2)  -2 3)  -1 4)  0

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