This problem considers finding so the line = is tangent to the curve = cos(2). You can assume that > 0, and the tangency points occur for > 0. (a) By sketching = and = cos(2), explain why there...

This problem considers finding
so the line

=

is tangent to the curve
= cos(2). You can assume that

> 0, and the tangency points occur for

> 0.

(a) By sketching

=

and

= cos(2), explain why there are an infinite number of solutions for
. Also, use this sketch to determine the approximate locations where tangency occurs.

(b) Calculate the largest value of
. Make sure to explain what mathematical problem you solve to find
, as well as which numerical method you used, why you made this choice, and what error condition was used to stop the calculation.