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Use the Given Transformation to Evaluate the Integral u=10x+y,v=8x+y;R(y10x)dxdy\begin{array} { c } u = - 10 x + y , v = 8 x + y ; \\\iint _ { R } ( y - 10 x ) d x d y \text {, }\end{array}

Question 162

Multiple Choice

Use the given transformation to evaluate the integral.
- u=10x+y,v=8x+y;R(y10x) dxdy\begin{array} { c } u = - 10 x + y , v = 8 x + y ; \\\iint _ { R } ( y - 10 x ) d x d y \text {, }\end{array}
where RR is the parallelogram bounded by the lines y=10x+4,y=10x+8,y=8x+3,y=8x+9y = 10 x + 4 , y = 10 x + 8 , y = - 8 x + 3 , y = - 8 x + 9


A) 5184
B) 8
C) 16
D) 2592

Correct Answer:

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