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Unformatted text preview: - 1 - 2x3 + x2 39) A city recreational department plans to build a rectangular playground 3,600 square meters in area. The playground is to be surrounded by a fence. Express the length of the fencing as a function of the length of one of the sides of the playground. For the given function, find the points on the graph at which the tangent line has slope 1. 1 32) y = x3 - 6x2 + x 3 40) A closed box with a square base is to have a volume of 1500 cubic inches. Express its surface area as a function of the length of its base. 33) If f(x) = x2 + 3x+ 1 and g(x) = x+ 1 find a) f(g(x) b) g(f(x)) 41) A can can hold 12 fluid ounces (approx 6.89 π cubic inches). Express the surface area of the can as a function of its radius. Solve the problem. 34) A toilet manufacturer has decided to come out with a new and improved toilet. The fixed cost for the production of this new toilet line is $16,600 and the variable costs are $69 per toilet. The company expects to sell the toilets for $150. Formulate a function P(x) for the total profit from the production and sale of x toilets. 42) Since the beginning of the month, a reservoir has been losing water at a constant rate. On the 12th of the month the re...
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