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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.
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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- Fall '
- Calculus, Prime number, Compact Disc, $150, $69, $135