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(6) Consider the integral ₁² 2² dA where R is the region given by 25x2 + 4y² ≤ 100. (a) Consider the transformation z = 2r cos 0,y = 5r sin 0. Find the Jacobian of the trans- formation. (b) Use the transformation from (a) to evaluate the integral.

(6) Consider the integral ₁² 2² dA where R is the region given by 25x2 + 4y² ≤ 100. (a) Consider the transformation z = 2r cos 0,y = 5r sin 0. Find the Jacobian of the trans- formation. (b) Use the transformation from (a) to evaluate the integral.

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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(6) Consider the integral 2? dA where R is the region given by 252? + 4y? < 100. (a) Consider the transformation z = 2r cos e,y = 5r sin 0. Find the Jacobian of the trans- formation. (b) Use the transformation from (a) to evaluate the integral.
Transcribed Image Text:(6) Consider the integral 2? dA where R is the region given by 252? + 4y? < 100. (a) Consider the transformation z = 2r cos e,y = 5r sin 0. Find the Jacobian of the trans- formation. (b) Use the transformation from (a) to evaluate the integral.
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