calculus

3.

A company determines a cost function of , where  is the cost (in dollars) of producing  number of items. How many items should the company manufacture to minimize the cost?

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2.

A spherical ball is measured to have a radius of with a possible measurement error of . Use the differentials to estimate the percentage error in computing the volume of the ball.

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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?

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