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.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 18P
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