# Use the Divergence Theorem to calculate the surface integral S F dS; that is, calculate the flux of

## Question:

Use the Divergence Theorem to calculate the surface integral ∫∫_{S} F · dS; that is, calculate the flux of F across S.

F(x, y, z) = (xy − z^{2}) i + x^{3} √z j + (xy + z^{2}) k, S is the surface of the solid bounded by the cylinder x = y^{2} and the planes x + z = 1 and z = 0.

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## Step by Step Answer:

**Related Book For**

## Calculus Early Transcendentals

**ISBN:** 9781337613927

9th Edition

**Authors:** James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

**Question Details**

Chapter #

**16**- Vector CalculusSection: Exercise 16.9

Problem: 14

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