Q1) Without Evaluating: a) Write the volume in cylindrical coordinates of the solid bounded above by x'+y +z=1 and below by the xy-plane, and on sides by x+y? = 3x. %3D V= b) Write the mass in spherical coordinates of the solid bounded above by 1 x+y+z=1 and below by x+y =-z', if its density varies directly %3D 3 with the square of the distance from the origin. M%=
Q1) Without Evaluating: a) Write the volume in cylindrical coordinates of the solid bounded above by x'+y +z=1 and below by the xy-plane, and on sides by x+y? = 3x. %3D V= b) Write the mass in spherical coordinates of the solid bounded above by 1 x+y+z=1 and below by x+y =-z', if its density varies directly %3D 3 with the square of the distance from the origin. M%=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q1) Without Evaluating:
a) Write the volume in cylindrical coordinates of the solid bounded above by
x + y +z =1 and below by the xy-plane, and on sides by x+y? = 3x.
%3D
V=
b) Write the mass in spherical coordinates of the solid bounded above by
x²+y+z² =1 and below by x + y² ==z², if its density varies directly
2.
%3D
%3D
with the square of the distance from the origin.
M%=
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