Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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11. Find the equation of the tangent plane to the surface xyz + z²/3 = y² at (−1,1,1).
12. Use Green's Theorem to evaluate f xydx + x²dy on the path described by the boundary of
the graphs y = x², y = √x oriented counterclockwise.
13. Evaluate the surface integral f f f (x, y, z)ds for f(x, y, z) = x²z², S: on the cone
z² = x²+ y², between the planes z = 1, z=3. [Hint: converting to cylindrical/polar will
help.]
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Transcribed Image Text:11. Find the equation of the tangent plane to the surface xyz + z²/3 = y² at (−1,1,1). 12. Use Green's Theorem to evaluate f xydx + x²dy on the path described by the boundary of the graphs y = x², y = √x oriented counterclockwise. 13. Evaluate the surface integral f f f (x, y, z)ds for f(x, y, z) = x²z², S: on the cone z² = x²+ y², between the planes z = 1, z=3. [Hint: converting to cylindrical/polar will help.]
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