Chapter 3.9, Problem 358E

The formula $I\left(t\right)=\frac{\sin t}{e^t}$ is the formula for a decaying alternating current.

a. Complete the following table with the appropriate values.

t	$\frac{\sin t}{e^t}$
0	(i)
$\frac{\pi }{2}$	(ii)
$\pi$	(iii)
$\frac{3\pi }{2}$	(iv)
$2\pi$	(v)
$2\pi$	(vi)
$3\pi$	(vii)
$\frac{7\pi }{2}$	(viii)
$4\pi$	(ix)

b. Using only the values in the table, determine where the tangent line to the graph of I(t) is horizontal.