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Problem #5: The region D in the x, y plane defined by the inequalities 0 < y < 3, y

Problem #5: The region D in the x, y plane defined by the inequalities 0 < y < 3, y

Advanced Engineering Mathematics
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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Problem #5: The region D in the x, y plane defined by the inequalities 0 s y < 3, y <x < V18- y can be expressed in polar coordinates as the region D* defined by the inequality a <es B, ro <rS ri, with 0 < a, B < 2n. (a) Enter the values of a and B, separated by a comma, in that order. (b) Enter the values of ro and r1, separated by a comma, in that order. (c) Evaluate the iterated integral 18- 12 cos(7(x² +y²)/36) dx dy I by passing to polar coordinates.
Transcribed Image Text:Problem #5: The region D in the x, y plane defined by the inequalities 0 s y < 3, y <x < V18- y can be expressed in polar coordinates as the region D* defined by the inequality a <es B, ro <rS ri, with 0 < a, B < 2n. (a) Enter the values of a and B, separated by a comma, in that order. (b) Enter the values of ro and r1, separated by a comma, in that order. (c) Evaluate the iterated integral 18- 12 cos(7(x² +y²)/36) dx dy I by passing to polar coordinates.
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