For , region is bounded above by the curve and below by the –axis. The region is…

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

For

0\le x\le3

, region

R

is bounded above by the curve

y=3x-x^{2}

and below by the

x

–axis. The region is revolved about the horizontal line

y=-2

to form a solid. Which of the following gives the inner radius

r(x)

of a typical washer at position

x

? (a)

3x-x^{2}-2

(b)

3x-x^{2}+2

(c)

2

(d)

3x-x^{2}