1. Evaluate the surface integral fs (r + y + z)dS, S is the parallelogram with parametric equations r = u+v, y = u-v, z = 1+2u +v, 0 across the slanted surface of the cone z2 x2 + y?, for 0 Sz S; normal vectors point in the positive z-direction %3D
1. Evaluate the surface integral fs (r + y + z)dS, S is the parallelogram with parametric equations r = u+v, y = u-v, z = 1+2u +v, 0 across the slanted surface of the cone z2 x2 + y?, for 0 Sz S; normal vectors point in the positive z-direction %3D
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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![1. Evaluate the surface integral f S, (x + y + 2)dS, S is the parallelogram with
parametric equations r = u+v, y = u - v, z =1+2u +v, 0 Sus 2,0 <v S 1
2. Find the flux of F =< x, y, z > across the slanted surface of the cone z2
x2 + y?, for 0 sz S; normal vectors point in the positive z-direction](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbdbc947-68f0-4147-95ce-21a4c7830e1a%2F1786e19c-b289-42dc-aa22-9fa06410b666%2Fjo8q98e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Evaluate the surface integral f S, (x + y + 2)dS, S is the parallelogram with
parametric equations r = u+v, y = u - v, z =1+2u +v, 0 Sus 2,0 <v S 1
2. Find the flux of F =< x, y, z > across the slanted surface of the cone z2
x2 + y?, for 0 sz S; normal vectors point in the positive z-direction
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