Question
Asked Jan 9, 2020
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Use the given transformation to evaluate the integral

∬R 6x^2 dA

where R is the region bounded by the ellipse 9x^2+36y^2=324

x=6u, y=3v

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Expert Answer

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Step 1

The given region R is an ellipse, transform the same using x and y as follows

Calculus homework question answer, step 1, image 1
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Step 2

Step 1 as follows

Calculus homework question answer, step 2, image 1
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Step 3

Obtain the Jacobian of the tra...

Calculus homework question answer, step 3, image 1
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