HW #04

Due: 09/24/2025

1. Evaluate

I ≡

⌠
⌡

1

0

⌠
⌡

√y

y

x e^y/x d x d y.

by changing the order of the integration.

Related exercise

2. If you have a 1-meter string and want to make both a square and a circle while minimizing the total area, how would you divide the string? The first portion of the string is used for the square. You must use the Lagrange multiplier method.