# Use the given transformation to evaluate the double integral, 7((x-4y)/(7x-y)) dA where R is the parallelogram enclosed by the lines x − 4y = 0, x − 4y = 8, 7x − y = 2, and 7x − y = 3; u = x − 4y, v = 7x − y

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Use the given transformation to evaluate the double integral, 7((x-4y)/(7x-y)) dA

where R is the parallelogram enclosed by the lines

x − 4y = 0,

x − 4y = 8,

7x − y = 2,
and
7x − y = 3; u = x − 4y, v = 7x − y
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Step 1

Obtain x and y in terms of u and v as follows.

Step 2

The given region R is the parallelogram bounded by the given lines and transform these lines using the obtained x and y as follows.

Step 3

The region of integration S is bounded by u = 0, u = 8, v = 2 and v = 3. Obtain...

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