14.1 a) Find double integral xy * sin(x^2 + y^2) dx from 0 to sqrt((5x)/3) dy from 0 to sqrt((11x)/6) b) Find double integral R (xy^ 2)/(x^2 +1 )dA,; R = [0, 2]* [- 4, 4] c) Find the volume of the solid bounded by the ellipic paraboloid z = 5 + 4x^2 + 3y^2 the planes x = 5 and y = 3, and the coordinate planes. c) Find the volume of the solid bounded by the ellipic paraboloid z = 1 + 4x^2 + 3y^2 the planes x = 4 and y = 2 and the coordinate planes.

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 7E
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14.1
a) Find double integral xy * sin(x^2 + y^2) dx
from 0 to sqrt((5x)/3) dy from 0 to
sqrt((11x)/6)
b) Find double integral R (xy^ 2)/(x^2 +1 )dA,;
R = [0, 2]* [- 4, 4]
c) Find the volume of the solid bounded by the
ellipic paraboloid z = 5 + 4x^2 + 3y^2 the
planes x = 5 and y = 3, and the coordinate
planes.
c) Find the volume of the solid bounded by the
ellipic paraboloid z = 1 + 4x^2 + 3y^2 the
planes x = 4 and y = 2 and the coordinate
planes.
Transcribed Image Text:14.1 a) Find double integral xy * sin(x^2 + y^2) dx from 0 to sqrt((5x)/3) dy from 0 to sqrt((11x)/6) b) Find double integral R (xy^ 2)/(x^2 +1 )dA,; R = [0, 2]* [- 4, 4] c) Find the volume of the solid bounded by the ellipic paraboloid z = 5 + 4x^2 + 3y^2 the planes x = 5 and y = 3, and the coordinate planes. c) Find the volume of the solid bounded by the ellipic paraboloid z = 1 + 4x^2 + 3y^2 the planes x = 4 and y = 2 and the coordinate planes.
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