9- Use the triple integral to find the volume of the given solid (a) The tetrahedron enclosed by the coordinate planes and plane 2x + y +z = 4 (b) The solid bounded by the cylinder y = x2 and the plane z = 0,z = 4 and y = 9 10 Fvoluoto .hore E ie the rogien thet lies incide the ovlindor

Elementary Geometry For College Students, 7e
7th Edition
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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9- Use the triple integral to find the volume of the given solid
(a) The tetrahedron enclosed by the coordinate planes and plane 2x+ y +z = 4
(b) The solid bounded by the cylinder y = x2 and the plane z 0,z = 4 and y = 9
10- Evaluate SSS
where E is the region that lies inside the cylinder
Vx2 + y?dV
E
x2 + y? = 16 and between z = -5 and z = 4
Transcribed Image Text:9- Use the triple integral to find the volume of the given solid (a) The tetrahedron enclosed by the coordinate planes and plane 2x+ y +z = 4 (b) The solid bounded by the cylinder y = x2 and the plane z 0,z = 4 and y = 9 10- Evaluate SSS where E is the region that lies inside the cylinder Vx2 + y?dV E x2 + y? = 16 and between z = -5 and z = 4
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