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 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.
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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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This document was uploaded on 03/12/2014 for the course M 119 at Indiana SE.
 Fall '
 Bonacci
 Calculus

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