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Use Stokes' Theorem to find the circulation of F = 4y? +7zj + 7xk around the boundary of the surface S given by z = 64- - (x² + y²) for z ≥ 0, oriented upward. Sketch both S and its boundary C. Circulation = - SF-d² = 0 dr Hint: Use polar coordinates.

Use Stokes' Theorem to find the circulation of F = 4y? +7zj + 7xk around the boundary of the surface S given by z = 64- - (x² + y²) for z ≥ 0, oriented upward. Sketch both S and its boundary C. Circulation = - SF-d² = 0 dr Hint: Use polar coordinates.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use Stokes' Theorem to find the circulation of F = 4y? +7zj + 7xk around the boundary of the surface S given by = 64 − (x² + y²) for z ≥ 0, oriented upward. Sketch both S and its boundary C. z = Circulation = L.F. [F. di C Hint: ·dr = Use polar coordinates.
Transcribed Image Text:Use Stokes' Theorem to find the circulation of F = 4y? +7zj + 7xk around the boundary of the surface S given by = 64 − (x² + y²) for z ≥ 0, oriented upward. Sketch both S and its boundary C. z = Circulation = L.F. [F. di C Hint: ·dr = Use polar coordinates.
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