The curves and intersect at two points

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

Problem

The curves

x = y^{2}

and

x = 2y + 3

intersect at two points. For all

y

between the

y

-coordinates of these intersection points, which curve forms the right boundary of the region enclosed by the two curves? (a)

x = y^{2}

(b) Each curve is the right boundary on a different subinterval of

y

(c)

x = 2y + 3

(d) Neither curve can serve as the right boundary because the region is not bounded in

x