The solid E bounded by the equation 9x^2 + 4y^2 + z^2 = 1 and located in the first octant is represented in the following figure. a.Write the triple integral that gives the volume of E by integrating first with respect to z, then with y, and then with x. b. Rewrite the integral in part a. as an equivalent integral in five other orders.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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The solid E bounded by the equation
9x^2 + 4y^2 + z^2 = 1 and located in the first octant is
represented in the following figure.

a.Write the triple integral that gives the volume of
E by integrating first with respect to z, then with
y, and then with x.
b. Rewrite the integral in part a. as an equivalent
integral in five other orders. 

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