Mathematics

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

0.20

1.37

0.46