calculus

3.

A company determines a cost function of

, where

c

 is the cost (in dollars) of producing

x

 number of items. How many items should the company manufacture to minimize the cost?

Ans.

2.

A spherical ball is measured to have a radius of

with a possible measurement error of

plus-or-minus 0.1 rm c m

. Use the differentials to estimate the percentage error in computing the volume of the ball.

Ans.

1.

A car starts from a point at 2:00 p.m. and travels north at 40 mph. Another car starts from the same point at 3:00 p.m. and travels west at 50 mph. After the second car has traveled 1 h, at what rate is the distance between the two cars changing?

Ans.