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Use Stokes' Theorem to find the circulation of ♬ = (xy, yz, xz) around the boundary of the surface S given by z = = 16 - x² for 0 ≤ x ≤ 4 and −3 ≤ y ≤ 3, oriented upward. A parametrization for S is given by r(u, v) = (u, v, 16 — u²) over the domain [0,4] × [−3, 3]. Sketch both S and its boundary C. Circulation = LĒ F. dr = -

Use Stokes' Theorem to find the circulation of ♬ = (xy, yz, xz) around the boundary of the surface S given by z = = 16 - x² for 0 ≤ x ≤ 4 and −3 ≤ y ≤ 3, oriented upward. A parametrization for S is given by r(u, v) = (u, v, 16 — u²) over the domain [0,4] × [−3, 3]. Sketch both S and its boundary C. Circulation = LĒ F. dr = -

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 ♬ = (xy, yz, xz) around the boundary of the surface S given by z = = 16 - x² for 0 ≤ x ≤ 4 and −3 ≤ y ≤ 3, oriented upward. A parametrization for S is given by r(u, v) = (u, v, 16 — u²) over the domain [0,4] × [−3, 3]. Sketch both S and its boundary C. Circulation = LĒ F. dr = -
Transcribed Image Text:Use Stokes' Theorem to find the circulation of ♬ = (xy, yz, xz) around the boundary of the surface S given by z = = 16 - x² for 0 ≤ x ≤ 4 and −3 ≤ y ≤ 3, oriented upward. A parametrization for S is given by r(u, v) = (u, v, 16 — u²) over the domain [0,4] × [−3, 3]. Sketch both S and its boundary C. Circulation = LĒ F. dr = -
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