b. Sketch the area over which the double integral -dydx is taken, √a²-x²-y² where a > 0. By changing to polar coordinates, show that the value of the integral is a.
b. Sketch the area over which the double integral -dydx is taken, √a²-x²-y² where a > 0. By changing to polar coordinates, show that the value of the integral is a.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:√a²-x²
b. Sketch the area over which the double integral
²²
-dydx is taken,
where a > 0. By changing to polar coordinates, show that the value of the integral
is a.
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