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Verify the formula fr F.T ds = = ff. (cur (curl F). n dS in Stokes' Theorem by evaluating the line integral and the surface integral. Assume that the surface has an upward orientation. F(x, y, z) = 3x i + 3y j + 5z k Where is the upper hemisphere z = la²-x² - y². #12 fF-T ds = [(curl (curl F) n dS = i

Verify the formula fr F.T ds = = ff. (cur (curl F). n dS in Stokes' Theorem by evaluating the line integral and the surface integral. Assume that the surface has an upward orientation. F(x, y, z) = 3x i + 3y j + 5z k Where is the upper hemisphere z = la²-x² - y². #12 fF-T ds = [(curl (curl F) n dS = i

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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Verify the formula fr F.T ds = - II. (₁² (curl F). n dS in Stokes' Theorem by evaluating the line integral and the surface integral. Assume that the surface has an upward orientation. F(x, y, z) = 3x i + 3y j + 5z k Where is the upper hemisphere z = √₁² - x² - 1². #12 fF-T ds = [[. (curl F) n dS = i
Transcribed Image Text:Verify the formula fr F.T ds = - II. (₁² (curl F). n dS in Stokes' Theorem by evaluating the line integral and the surface integral. Assume that the surface has an upward orientation. F(x, y, z) = 3x i + 3y j + 5z k Where is the upper hemisphere z = √₁² - x² - 1². #12 fF-T ds = [[. (curl F) n dS = i
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