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Evaluate the surface integral //, 2zdS where S is the portion of the paraboloid 2z = 1+ x2 + y² in the first octant bounded by x = 0, y = v3x, z = = 1. %3D Hint: Use polar coordinates to calculate the resulting double integral. What is the angle of inclination of a line with slope v3?

Evaluate the surface integral //, 2zdS where S is the portion of the paraboloid 2z = 1+ x2 + y² in the first octant bounded by x = 0, y = v3x, z = = 1. %3D Hint: Use polar coordinates to calculate the resulting double integral. What is the angle of inclination of a line with slope v3?

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 /s 2zdS where S is the portion of the paraboloid 2z = 1+ x² + y² in the first octant bounded by x = 0, y = v3x, z = = 1. Hint: Use polar coordinates to calculate the resulting double integral. What is the angle of inclination of a line with slope v3?
Transcribed Image Text:Evaluate the surface integral /s 2zdS where S is the portion of the paraboloid 2z = 1+ x² + y² in the first octant bounded by x = 0, y = v3x, z = = 1. Hint: Use polar coordinates to calculate the resulting double integral. What is the angle of inclination of a line with slope v3?
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