6,196 Answered Questions for the topic calculus

5d

#### Find simplified form for f [g(x)]

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

6d

#### 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.

7d

#### Use the "summation formulas" to express the following sum in closed form. Your answer should be in terms of n.

n∑(3+4k)^2k=1

7d

#### 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

7d

#### 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!

7d

#### Let f(x) = (x − 2)^3 + 4. Is f one-to-one?. Determine f^-1 (x). Is f ^−1 (x) continuous? Determine x such that f^−1 is differentiable at x and evaluate its derivative, (f ^−1 )'(x)

must be solved without calculator. Thanks!

8d

#### 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:

8d

#### I need help with integral please

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

8d

#### 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

8d

#### 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

8d

#### 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.

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