Let W be the region bounded by z = 9-y.y = 3x², and the plane z = 0. (a) Calculate the volume of the region W as a triple integral in the order dx dz dy. (Use symbolic notation and fractions where needed.) volume(W) = (b) Calculate the volume of the region W as a triple integral in the order dy dz dx. (Use symbolic notation and fractions where needed.) volume(W) =

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Let W be the region bounded by z = 9 - y², y = 3x², and the plane z = 0.
(a) Calculate the volume of the region W as a triple integral in the order dx dz dy.
(Use symbolic notation and fractions where needed.)
volume(W) =
(b) Calculate the volume of the region W as a triple integral in the order dy dz dx.
(Use symbolic notation and fractions where needed.)
volume(W) =
Transcribed Image Text:Let W be the region bounded by z = 9 - y², y = 3x², and the plane z = 0. (a) Calculate the volume of the region W as a triple integral in the order dx dz dy. (Use symbolic notation and fractions where needed.) volume(W) = (b) Calculate the volume of the region W as a triple integral in the order dy dz dx. (Use symbolic notation and fractions where needed.) volume(W) =
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