Jon B.

asked • 06/21/15

Calc help please: Applied Max/Min

Applied Max/Min (35 points)
a. Find the dimensions of the rectangle with the greatest
area that can be built so the base of the rectangle is on
the x–axis between 0 and 1 (0 ≤ x ≤ 1) and one corner
of the rectangle is on the curve, y=x^3
What is the area of this rectangle?

b. Generalize the problem in part (a) for the curve y=Cx^3
with C > 0 and 0≤x≤1.

c. Generalize for the curve y=Cx^3
with C > 0 and 0 ≤ x ≤ B.

d. Generalize for the curve y=Cx^??
with C > 0, n a positive integer, and 0 ≤ x ≤ B.

1 Expert Answer


Keith M. answered • 06/21/15

4.9 (111)

B.S. in Applied Mathematics with 5+ years experience tutoring math

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