Consider the equation

$e^{-7x}+6cos(34x)=0.$

$($a$)$ Show that the above equation has exactly one solution for xin$[0,\frac{}{34}].$

$($b$)$ Use Matlab to plot the left hand side of the above equation and explain how the plot illustrates your result in part

$($a$).$ Include both your Matlab code and your plot in your assignment.

To check that you are on the right track, complete the following sentences.

To show that a solution exists I will use the

functions. Note that it doesn't guarantee the solution is unique