Evaluate (x² + y² +z) dS, where S is the boundary of the finite region bounded by the graphs of the paraboloids {z 4x² - y²} and {z = x² + y²}. =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
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1. Evaluate
√√₂ (22² +1
(x² + y² +z) dS,
=
where S is the boundary of the finite region bounded by the graphs of the paraboloids {z
4 – x² - y²} and {z = x² + y²}.
Transcribed Image Text:1. Evaluate √√₂ (22² +1 (x² + y² +z) dS, = where S is the boundary of the finite region bounded by the graphs of the paraboloids {z 4 – x² - y²} and {z = x² + y²}.
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