3 3 9 y x Figure 1: Paraboloid y = 9x² - 2² with y ≥ 0 2. Given F =< 2x + √1 + z³, −y + √1 + x³, 2z+xy >. By using Gauss's theorem, find ff F. ds for a paraboloid y = 9-x²z² with y ≥0 as shown in Figure 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 46E
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3
3
9
y
x
Figure 1: Paraboloid y = 9x² - 2² with y ≥ 0
2. Given F =< 2x + √1 + z³, −y + √1 + x³, 2z+xy >. By using Gauss's theorem,
find ff F. ds for a paraboloid y = 9-x²z² with y ≥0 as shown in Figure 1.
Transcribed Image Text:3 3 9 y x Figure 1: Paraboloid y = 9x² - 2² with y ≥ 0 2. Given F =< 2x + √1 + z³, −y + √1 + x³, 2z+xy >. By using Gauss's theorem, find ff F. ds for a paraboloid y = 9-x²z² with y ≥0 as shown in Figure 1.
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