# 3. Consider the delta-function 8(x), which has the property S f(x)...

## Transcribed Text

3. Consider the delta-function 8(x), which has the property S f(x)6(x-a) dr = f(a) since 8(r-a) = 0 whenever . # a. What is the Fourier expansion of o(x - a) in terms of coesines? 4. Consider a rectangular block of volume abe, defined by 0 < x a; 0 < y be 0 Z Solve the Laplace equation for u(x, y, z) within this rectangle for zero Dirichlet boundary conditions on each face, except the top face where u(x, y,c) = f(x,g). (a) Derive the solution = sin mar sin nity 6 sinh a m=1 m 2 2 Arrn = T + ; m,n E Z. (b) What is the integral to determine Bmn? (c) If f(x,g) = x, what are the coefficients Bmn and what is the solution x)? 1 of 1

## Solution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

By purchasing this solution you'll be able to access the following files:
Solution3.pdf, Solution4a.jpg and Solution4b.jpg.

\$75.00
for this solution

PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

### Find A Tutor

View available Mathematical Physics Tutors

Get College Homework Help.

Are you sure you don't want to upload any files?

Fast tutor response requires as much info as possible.