Which expression gives the area of a square cross section whose side length at…

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

Problem

Which expression gives the area

A(x)

of a square cross section whose side length at position

x

equals the vertical distance between the curves

y=f(x)

(upper) and

y=g(x)

(lower)? (a)

\pi\,(f(x)-g(x))^2

(b)

f(x)^2-g(x)^2

(c)

(f(x)-g(x))^2

(d)

(f(x)-g(x))