1. Let E be the region bounded below by the cone z = Vx² + y² and above by the paraboloid z = 2– x² – y². Set up a triple integral in cylindrical coordinates to find the volume of the region using the following order of integration: dzdrd0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Vx2 + y? and above by the
1. Let E be the region bounded below by the cone z =
paraboloid z = 2– x² – y². Set up a triple integral in cylindrical coordinates to
find the volume of the region using the following order of integration: dzdrd
2. Use the transformation u = x – 2y, v = 2x + y to find
х —
- 2y
-dA
+ Y
(4)
R 2x
MAT 120
ASSIGNMENT 3
SUMMER 2021
Where R is the rectangular region enclosed by the lines x – 2y = 1, x– 2y = 4,
2л + у %3D 1, 21 +у %3 3.
-
SET: 12
Transcribed Image Text:Vx2 + y? and above by the 1. Let E be the region bounded below by the cone z = paraboloid z = 2– x² – y². Set up a triple integral in cylindrical coordinates to find the volume of the region using the following order of integration: dzdrd 2. Use the transformation u = x – 2y, v = 2x + y to find х — - 2y -dA + Y (4) R 2x MAT 120 ASSIGNMENT 3 SUMMER 2021 Where R is the rectangular region enclosed by the lines x – 2y = 1, x– 2y = 4, 2л + у %3D 1, 21 +у %3 3. - SET: 12
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