1. Find the relative maxima and minima of y by the second-derivative test: (a) y=-2x2+8x+ 25 (9 y=x-3x2+5x +3 (b) y = x +6x2 +9 2x (d) y = 1-2x 2. Mr. Greenthumb wishes to mark out a rectangular flower bed, using a wall of his house as one side of the rectangle. The other three sides are to be marked by wire netting, of which he has only 64 ft available. What are the length Land width W of the rectangle that would give him the largest possible planting area? How do yau make sure that your answer gives the largest, not the smallest area? 3. A firm has the folowing total-cost and demand functions: C=}Q' -7Q +111Q+ 50 Q= 100-P (a) Does the total-cost function satisfy the coefficient restrictions of (9.5)? (b) Write out the total-revenue function Rin terms of Q. () Formulate the total-profit function a in terms of Q. (d) Find the profit-maximizing level of output Q. (e) What is the maximum profit?

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