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¹/₁² F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = -xi-yj + z³k, S is the part of the cone z = √√√x² + x Evaluate the surface integral z = √x² + y²³² ) X z = 4 Ⓡ between the planes z = 1 and z= 4 with downward orientation

¹/₁² F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = -xi-yj + z³k, S is the part of the cone z = √√√x² + x Evaluate the surface integral z = √x² + y²³² ) X z = 4 Ⓡ between the planes z = 1 and z= 4 with downward orientation

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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Plz complete solution with 100 % accuracy  I vill give  definitely  4 upvotes if corrected other wise 4 downvotes  for sure. 

Evaluate the surface integral 'Il' F(x, y, z) = -xi - yj + z³k, S is the part of the cone z = √√√x² z= √x² + y² ) F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. X Z=4 = 1 i between the planes z = 1 and z = 4 with downward orientation
Transcribed Image Text:Evaluate the surface integral 'Il' F(x, y, z) = -xi - yj + z³k, S is the part of the cone z = √√√x² z= √x² + y² ) F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. X Z=4 = 1 i between the planes z = 1 and z = 4 with downward orientation
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