$2.$ In bisection.m$,$ we stopped iteration when $\%0001\mathrm{.}0<=$a

$\backslash$epsi where $\%100\backslash$times

$$

$=$ new

r

old

r

new

r

a

x

xx

$\backslash$epsi $.$ Modify

the m$-$file such that the iteration stops after the $10$ th iteration. Test the modified m$-$file using the initial

lower and upper bounds as $3\mathrm{.}5$ and $4,$ respectively, to find a solution of $0)(=$xf within these bounds

$()($xf is defined in Prob. $1).$ Use $$format long$$ to have enough digits in your solution. Beware of the

iteration number counting. In this example, the $1$ st iteration solution is $3\mathrm{.}75[=(3\mathrm{.}5+4)/2].$ Thus, if

iteration stops after the $1$ st iteration, the solution should be $3\mathrm{.}75.$ Print out both the modified m$-$file and

the solution in PDF format.

$3.$ Diffuse light is coming out of an LED panel into the northern hemisphere.

$\backslash$theta

is an angle between a light direction and the panel surface normal as shown in

the figure on the right. Determine the angle

$\backslash$theta that satisfies the following

relation using the bisection method:

$1$

tan $1$ e

$\backslash$theta

$\backslash$theta $$

$=+$

Express your solution in degrees.