Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 13, Problem 34SP
To determine
To find:The given surface integral.
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1. Please
Kindly solve the task step by step
20. Let S be an oriented surface parametrized by r(u,v). Define the
notation do = r, du × r, dv so that do is a vector normal to
the surface. Also, the magnitude do =
face area (by Equation 5 in Section 16.5). Derive the identity
do is the element of sur-
do = (EG – F²)'/² du dv
where
E = r?, F = r„ • r,,
and G = |r,|?.
Chapter 13 Solutions
Calculus
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