Chapter 1.1, Problem 49E

The function D(p) gives the number of items that will be demanded when the price is p. The production cost C(x) is the cost of producing x items. To determine the cost of production when the price is $6, you would do which of die following? a. Evaluate D(C(6)) . b. Evaluate C(D(6)) . c. Solve D(C(x))=6 . d.Solve C(D(p))=6 .

The path of a ball is modeled by the function f(x)=120x2+3x+5, where fx is the height (in feet) of the ball and x is the horizontal distance (in feet) from where the ball was thrown. (a) What is the maximum height of the ball? (b) Which number determines the height at which the ball was thrown? Does changing this value change the coordinates of the maximum height of the ball? Explain.