e dV where E is enclosed by the paraboloid z ₂ Evaluate and the xy plane. Round your answer to four decimal places. 2 + x² + y², the cylinder x² + y² = 5,
e dV where E is enclosed by the paraboloid z ₂ Evaluate and the xy plane. Round your answer to four decimal places. 2 + x² + y², the cylinder x² + y² = 5,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
5.4.5
![### Problem Statement
Evaluate the triple integral
\[
\iiint_E e^z \, dV
\]
where \( E \) is enclosed by the paraboloid \( z = 2 + x^2 + y^2 \), the cylinder \( x^2 + y^2 = 5 \), and the \( xy \) plane.
Round your answer to four decimal places.
### Input Box
[__________]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F876c9bbd-0074-4123-babe-119feafc9f73%2F9460e5d4-0e78-4917-b0d8-49a6a8439875%2Fosp4bxu_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
Evaluate the triple integral
\[
\iiint_E e^z \, dV
\]
where \( E \) is enclosed by the paraboloid \( z = 2 + x^2 + y^2 \), the cylinder \( x^2 + y^2 = 5 \), and the \( xy \) plane.
Round your answer to four decimal places.
### Input Box
[__________]
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