The area (in square units) of a certain region is given by for

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The area (in square units) of a certain region is given by

A(k)=k^2(4-k)

for

0<k<4

. For which value of

k

A(k)

maximized? (a)

k=2

(b)

k=\frac{8}{3}

(c)

k=\frac{4}{3}

(d)

k=3