Evaluate the Surface Integral. Ş[4·(1 + SS. S 4·(1 + y² - x²) ds S is part of the paraboloid given by 0 ≤Z≤ 9 & Trig. Identities: cos(2A): = Z = x² + y² 0 ≤0 ≤ Hint: Consider parametric representations of the surface TU 4 cos² (A) — sin²(A) = 2cos² (A) - - 1 = 1- 2sin² (A)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
Problem 11ECP
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Evaluate the Surface Integral.
Sf 4·(1 + y² − x²) ds
S
S is part of the paraboloid z = x² + y²
TU
given by 0 ≤ Z≤ 9 & 0 <0 <
4
Hint: Consider parametric representations of the surface
Trig. Identities: cos(2A)
cos² (A) - sin² (A)
=
=
2cos² (A) - 1 = 1–
- 2sin² (A)
Transcribed Image Text:Evaluate the Surface Integral. Sf 4·(1 + y² − x²) ds S S is part of the paraboloid z = x² + y² TU given by 0 ≤ Z≤ 9 & 0 <0 < 4 Hint: Consider parametric representations of the surface Trig. Identities: cos(2A) cos² (A) - sin² (A) = = 2cos² (A) - 1 = 1– - 2sin² (A)
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