Problem $2$:

Consider the following equation

$e^x=3x^2$

a$)$ Rearrange the equation to express it as $f(x)$ and plot it within the range $-1x5.$ How many roots $r$ does it have?

b$)$ Use Newton's method to compute the first iteration starting with $x_o=-1$

c$)$ Use Newton's method to find the root near $x_o=-1.$ Use a tolerance of six significant places, $lon=5{10}^{-7}.$

d$)$ Use Newton's method to find a positive root near $x_o=5.$ Use a tolerance of six significant places, $lon=5{10}^{-7}.$