Unformatted text preview: down. (iii) At what points on the graph are there local maximum, local minimum and points of inﬂection? 4. (20 points) A rectangular storage shed with a square base is to be built. The material for the ﬂoor costs $10 per square foot, the material for the roof costs $6 per square foot and the material for the sides costs $4 per square foot. Find the dimensions of the shed that has 250 cubic feet of volume and minimizes the cost of the material for construction. State explicitly and label the Objective Function (5 points). State explicitly and label the Constraint Equation (5 points). 5. (20 points) A ball is thrown into the air and its distance s ( t ) from the ground t seconds later is given by s ( t ) = 5 + 64 t16 t 2 . (i) What is the initial velocity of the ball? (ii) At what time does the ball reach its maximum height? What is the maximum height? 1...
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 Fall '08
 COHEN
 Calculus, Derivative, Mathematical analysis, Convex function, Square foot, Professor Patrick Fitzpatrick, Rodrigo Trevino

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