The region bounded by the curves and is to be revolved about the -axis

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

Problem

The region bounded by the curves

y = x^{2}

and

y = 4x - x^{2}

is to be revolved about the

x

-axis. Which of the following gives the correct interval of

x

-values that encloses the region? (a)

-2 \le x \le 2

(b)

0 \le x \le 4

(c)

0 \le x \le 2

(d)

-1 \le x \le 3