For radians, the light intensity striking a panel set at an angle is modeled by I( )=…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For

0\le \theta\le \dfrac{\pi}{2}

radians, the light intensity striking a panel set at an angle

\theta

is modeled by

I(\theta)=\sin\theta\,e^{-0.2\theta}.

Which of the following values of

\theta

(in radians) is closest to the angle that maximizes

I

? (a)

1.57

(b)

0.20

(c)

1.37

(d)

0.46