please please please anwer super super fast its really important and urgent also please try to write clear and neatthis is not a graded question GIVEN: 2 is a right circular cylindrical surface2| x² + y²D =2 = {({(x, y, z)| x==a²10 2 <The height of Q is b and the radius of 9 is a.HINT: Use the parameterization of 22:Þ:D2, (0, z) = (a cos , a sin 0, z),≤ 0 ≤ 2π1z fb= {(0, 2)√10 ≤ ₂ ≤ bOrient so that the normal vector, n, points away from the z-axis.The field F = (2x, 2y, z²)FIND: The flux of F through 2 with the given orientation.Find: FLUX = [F.dSΦn2D270

Answered: Image /qna-images/answer/d305b917-3db8-4b10-8efc-2e9fbd461acf.jpg

GIVEN: 2 is a right circular cylindrical surface | x² + y² = Ω {(x, y, z) | 0 2 < The height of 2 is b and the radius of Q is a. = a²1 S = Orient so that the normal vector, n, points away from the z-axis. The field F (2x, 2y,z²)

GIVEN: 2 is a right circular cylindrical surface | x² + y² = Ω {(x, y, z) | 0 2 < The height of 2 is b and the radius of Q is a. = a²1 S = Orient so that the normal vector, n, points away from the z-axis. The field F (2x, 2y,z²)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 37E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5,...

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Question

please please please anwer super super fast its really important and urgent also please try to write clear and neat this is not a graded question

GIVEN: 2 is a right circular cylindrical surface
2
| x² + y²
D =
2 = {(
{(x, y, z)| x
=
=
a²1
0 2 <
The height of Q is b and the radius of 9 is a.
HINT: Use the parameterization of 22:
Þ:D2, (0, z) = (a cos , a sin 0, z),
≤ 0 ≤ 2π1
z f
b
= {(0, 2)√10 ≤ ₂ ≤ b
Orient so that the normal vector, n, points away from the z-axis.
The field F = (2x, 2y, z²)
FIND: The flux of F through 2 with the given orientation.
Find: FLUX = [F.dS
Φ
n
2
D
27
0

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Step 1: Determination of the orientation that points away from z-axis.

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Step 2: Computation of flux.

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Step 3: Evaluation of the double integral.

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