Consider the region enclosed by the graphs of and

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Consider the region enclosed by the graphs of

y = e^{x}

and

y = 2x + 1

. When the region is revolved about the

x

-axis, a solid is generated. Which ordered pair of

x

-values, rounded to the nearest tenth, gives the leftmost and rightmost points of intersection of the two graphs? (a)

(0.0,\,1.5)

(b)

(0.0,\,1.3)

(c)

(0.5,\,1.3)

(d)

(0.0,\,1.1)