1
answer
0
watching
47
views
10 Nov 2019
Consider the surface described by (x^2+y^2+z^2+A^2 - a^2)^2 = 4A^2(12 + y^2) where A > a(a) Using cylindrical coordinates, find a simple equation for the cross-section of the surface in the i-z-plane (that is. an arbitrary plane of constant theta) and sketch the cross-section. (b) Using the result of (a), find an equation in cylindrical coordinates for the cross-section (or cross sections) of the surface in the xy-plane and sketch the cross-section. (c) Using the result of (a) and (b) identify the surface. (d) Using a triple integral in cylindrical coordinates, find the volume inside the surface.
Consider the surface described by (x^2+y^2+z^2+A^2 - a^2)^2 = 4A^2(12 + y^2) where A > a(a) Using cylindrical coordinates, find a simple equation for the cross-section of the surface in the i-z-plane (that is. an arbitrary plane of constant theta) and sketch the cross-section. (b) Using the result of (a), find an equation in cylindrical coordinates for the cross-section (or cross sections) of the surface in the xy-plane and sketch the cross-section. (c) Using the result of (a) and (b) identify the surface. (d) Using a triple integral in cylindrical coordinates, find the volume inside the surface.
Patrina SchowalterLv2
29 Jul 2019