370 Answered Questions for the topic AP Calculus

6h

#### 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

1d

#### 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:

1d

#### 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

1d

#### 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.

2d

#### Please help me with this question!

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

2d

#### Please help me with this question!

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

2d

#### 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

2d

#### A snowball is melting so that the radius is changing at the rate of 2 inches per hour. How fast is the surface area of the snowball changing at the instant the snowball has a radius of 3 inches?

Question options:
1)
-16π in2/hour
2)
-24π in2/hour
3)
-32π in2/hour
4)
-48π in2/hour

2d

#### A particle moves along the x-axis with position function s(t) = ecos(x). How many times in the interval [0, 2π] is the velocity equal to 0?

Question options:
1)
1
2)
2
3)
3
4)
More than 3

2d

#### 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:

2d

#### 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, ∞ )

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