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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
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
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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