For , let be the region in the first quadrant bounded above by and below by on the…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

For

0 < k < 6

, let

R(k)

be the region in the first quadrant bounded above by

y = 6x - x^2

and below by

y = kx

on the interval

0 \le x \le k

. Which value of

k

yields the largest possible area of

R(k)

? (a)

k=3

(b)

k=2

(c)

k=\frac{12}{5}

(d)

k=\frac{5}{2}