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I| f(x, y, z) dV, E = {(x,y, z) | 0< x< v2, x < y < V4 – x², 0 < z < x² + y² + 8} %3D E

I| f(x, y, z) dV, E = {(x,y, z) | 0< x< v2, x < y < V4 – x², 0 < z < x² + y² + 8} %3D E

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The third one please
Pr. #2) Sketch the region of integration and change the order of integration. f (x, y) dx dy Pr. #3) Change the integral to cylindrical coordinates (find the limits of integration). f(ar, y, z) dV, E = {(x,y, 2) | 0 < x < v2, a < ys V4- a², 0< z < a² + y² + 8} E Pr. #4) Use a triple integral to find the volume of the given solid. Enclosed by the planes z = 0, 4x + 2y + z = 8, x = 0, x = 1, y = 0, and y = 2.
Transcribed Image Text:Pr. #2) Sketch the region of integration and change the order of integration. f (x, y) dx dy Pr. #3) Change the integral to cylindrical coordinates (find the limits of integration). f(ar, y, z) dV, E = {(x,y, 2) | 0 < x < v2, a < ys V4- a², 0< z < a² + y² + 8} E Pr. #4) Use a triple integral to find the volume of the given solid. Enclosed by the planes z = 0, 4x + 2y + z = 8, x = 0, x = 1, y = 0, and y = 2.
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