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A lamina covering the quarter disk x2 + y2 4, x > 0, y > 0, has (area) density x + y
Chapter 5, Problem 33(choose chapter or problem)
QUESTION:
A lamina covering the quarter disk x2 + y2 4, x > 0, y > 0, has (area) density x + y. Find the mass of the lamina.
Questions & Answers
QUESTION:
A lamina covering the quarter disk x2 + y2 4, x > 0, y > 0, has (area) density x + y. Find the mass of the lamina.
ANSWER:Step 1 of 2
The area of integration is the quarter-circle with radius . Change into the polar coordinate system, uncoupling the integrals: