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Problem 2. Let F be the vector field (xe² + cos(x), ―ye², z sin(x)), and S the paraboloid z=1-x² - y², z ≥0 with upward pointing normal vector. 1. Calculate the divergence of F, V.F. 2. Calculate the flux of F though S, F F. ds.

Problem 2. Let F be the vector field (xe² + cos(x), ―ye², z sin(x)), and S the paraboloid z=1-x² - y², z ≥0 with upward pointing normal vector. 1. Calculate the divergence of F, V.F. 2. Calculate the flux of F though S, F F. ds.

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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Problem 2. Let F be the vector field (re² + cos(x), -ye*, z sin(x)), and S the paraboloid z=1-x² - y², z ≥0 with upward pointing normal vector. 1. Calculate the divergence of F, V. F. 2. Calculate the flux of F though S, F F. ds.
Transcribed Image Text:Problem 2. Let F be the vector field (re² + cos(x), -ye*, z sin(x)), and S the paraboloid z=1-x² - y², z ≥0 with upward pointing normal vector. 1. Calculate the divergence of F, V. F. 2. Calculate the flux of F though S, F F. ds.
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