Concept explainers
Radial fields Consider the radial
a. Use a surface integral to show that the outward flux of F across S is 4πa3 − p. Recall that the unit normal to the sphere is r/|r|.
b. For what values of p does F satisfy the conditions of the Divergence Theorem? For these values of p, use the fact (Theorem 17.10) that
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Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)
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