Questions from General Calculus

Q: The graphs of two functions are shown with the areas of the

The graphs of two functions are shown with the areas of the regions between the curves indicated.

Q: The linear density in a rod 8 m long is / where

The linear density in a rod 8 m long is / where x is measured in meters from one end of the rod. Find the average density of the rod.

Q: Each integral represents the volume of a solid. Describe the solid

Each integral represents the volume of a solid. Describe the solid.

Q: Each integral represents the volume of a solid. Describe the solid

Each integral represents the volume of a solid. Describe the solid.

Q: A force of 30 N is required to maintain a spring stretched

A force of 30 N is required to maintain a spring stretched from its natural length of 12 cm to a length of 15 cm. How much work is done in stretching the spring from 12 cm to 20 cm?

Q: Find the average value of the function f(t) −

Find the average value of the function f(t) − sec2t on the interval [0,

Q: If f is a continuous function, what is the limit as

If f is a continuous function, what is the limit as h → 0 of the average value off on the interval [x, x + h]?

Q: A 360-lb gorilla climbs a tree to a height of

A 360-lb gorilla climbs a tree to a height of 20 ft. Find the work done if the gorilla reaches that height in (a) 10 seconds (b) 5 seconds

Q: How much work is done when a hoist lifts a 200-

How much work is done when a hoist lifts a 200-kg rock to a height of 3 m?

Q: A variable force of 5x22 pounds moves an object along a straight

A variable force of 5x22 pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done in moving the object from x = 1 ft to x = 10 ft.