1. Boas Chapter 13 section 5 number 1

\f1. (a) Compute numerically the coefficients (5.16) of the first three terms of the series (5.11) for the steady-state temperature in a solid semi-infinite cylinder when u = 0 at r = 1, and u = 100 at z = 0. Find u at r = 5, z = 1. (b) In part (a), if u = 0 at r = 10 and u = 100 at z = 0, find u at r = 5, z = 10. What is the relation between parts (a) and (b)? Hint: Suppose in part (a) that the length units for r and z are centimeters. Consider the identical physics problem but with distances measured in millimeters, and compare part (b). Note that in equation (5.10), r/a and z/a are just measurements as multiples of the radius a