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Use Stokes' Theorem to find the line integral of F = 6yi +3zj + 3xk around the boundary of the surface S given by z = 9 (x² + y²) for z ≥ 0, oriented upward. Sketch both S and its boundary C. line integral = √ F.dr = C

Use Stokes' Theorem to find the line integral of F = 6yi +3zj + 3xk around the boundary of the surface S given by z = 9 (x² + y²) for z ≥ 0, oriented upward. Sketch both S and its boundary C. line integral = √ F.dr = C

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 26E: Find the area between the curves in Exercises 1-28. x=0, x=/4, y=sec2x, y=sin2x
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Use Stokes' Theorem to find the line integral of F = 6yi +3zj + 3xk around the boundary of the surface S given by z = 9 (x² + y²) for z ≥ 0, oriented upward. Sketch both S and its boundary C. line integral = √ F.dr = C
Transcribed Image Text:Use Stokes' Theorem to find the line integral of F = 6yi +3zj + 3xk around the boundary of the surface S given by z = 9 (x² + y²) for z ≥ 0, oriented upward. Sketch both S and its boundary C. line integral = √ F.dr = C
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