Questions from General Calculus

Q: The table shows values of a force function f (x),

The table shows values of a force function f (x), where is measured in meters and f (x) in newtons. Use Simpson’s Rule to estimate the work done by the force in moving an object a di...

Q: Find the average value of the function on the given interval.

Find the average value of the function on the given interval.

Q: Does the function f (x) = e10|x-

Does the function f (x) = e10|x-2|-x2 have an absolute maximum? If so, find it. What about an absolute minimum?

Q: Find the average value of the function on the given interval.

Find the average value of the function on the given interval.

Q: Suppose that 2 J of work is needed to stretch a spring

Suppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 42 cm. (a). How much work is needed to stretch the spring from 35 cm to 40 cm? (b). How far beyon...

Q: If the work required to stretch a spring 1 ft beyond its

If the work required to stretch a spring 1 ft beyond its natural length is 12 ft-lb, how much work is needed to stretch it 9 in. beyond its natural length?

Q: A spring has natural length 20 cm. Compare the work W1

A spring has natural length 20 cm. Compare the work W1 done in stretching the spring from 20 cm to 30 cm with the work W2 done in stretching it from 30 cm to 40 cm. How are W2 and W1 related?

Q: Use Newton’s method to find the absolute maximum value of the function

Use Newton’s method to find the absolute maximum value of the function f (x) = x cos x, 0 < x < π, correct to six decimal places.

Q: The marginal cost function C (x) was defined to be

The marginal cost function C (x) was defined to be the derivative of the cost function. (See Sections 3.8 and 4.6.) If the marginal cost of manufacturing meters of a fabric is C'(x) = 5 – 0.008x + 0.0...

Q: A movie theater has been charging $7.50 per person

A movie theater has been charging $7.50 per person and selling about 400 tickets on a typical weeknight. After surveying their customers, the theater estimates that for every 50 cents that they lower...