Question

Asked Nov 9, 2019

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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

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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