Questions from General Calculus


Q: The graph of the acceleration a(t) of a car

The graph of the acceleration a(t) of a car measured in ft/s2 is shown. Use the Midpoint Rule to estimate the increase in the velocity of the car during the six-second time interval.

See Answer

Q: Use a graph to give a rough estimate of the area of

Use a graph to give a rough estimate of the area of the region that lies under the given curve. Then find the exact area. y = 2 sin x - sin 2x, 0 ≤ x ≤ π 

See Answer

Q: For what values of x does the graph of f have a

For what values of x does the graph of f have a horizontal tangent? f (x) = ex cos x

See Answer

Q: (a) What quantities are given in the problem?

(a) What quantities are given in the problem? (b) What is the unknown? (c) Draw a picture of the situation for any time t. (d) Write an equation that relates the quantities. (e) Finish solving the pro...

See Answer

Q: (a) What quantities are given in the problem?

(a) What quantities are given in the problem? (b) What is the unknown? (c) Draw a picture of the situation for any time t. (d) Write an equation that relates the quantities. (e) Finish solving the pro...

See Answer

Q: Two cars start moving from the same point. One travels south

Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate is the distance between the cars increasing two hours later?

See Answer

Q: A spotlight on the ground shines on a wall 12 m away

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of his shadow on the building decreas...

See Answer

Q: Find f ’ (x) and f ’’ (x).

Find f ’ (x) and f ’’ (x). f (x) = (x3 + 1) ex

See Answer

Q: Find dy/dx by implicit differentiation. Tan(x

Find dy/dx by implicit differentiation. Tan(x – y) = y / 1 + x2

See Answer

Q: A man starts walking north at 4 ft/s from a

A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min after...

See Answer