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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)

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)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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