Use a change of variables to find the volume of the solid region lying below the surface z = f(x, y) and above the plane region R. f(x, y) = (8x + 2y)² √2y - x 32 26 13 R: region bounded by the parallelogram with vertices (0, 0), ). (- , ³² ), (2, 5). ( ²6, ¹²³ )

Use a change of variables to find the volume of the solid region lying below the surface z = f(x, y) and above the plane region R. f(x, y) = (8x + 2y)² √2y - x 32 26 13 R: region bounded by the parallelogram with vertices (0, 0), ). (- , ³² ), (2, 5). ( ²6, ¹²³ )

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 18E

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Question

9-1

Use a change of variables to find the volume of the solid region lying below the surface z = f(x, y) and above the plane region R.
f(x, y) = (8x +
2y)² √2y-x
8
13
).(--/-, 3²2), (2, 5), ( 26, ¹3³ )
9
9
9
R: region bounded by the parallelogram with vertices (0, 0), -

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