2. Let F = −y³i + x³j + cos z³k and C be the curve generated by the intersection of the cylinder x² + y² = 4 and the plane x+y+z=1. (a) Parametrize C and set up, but do NOT integrate, the line integral SF - dr where the limits of integration are in t. (b) Use Stokes' Theorem to calculate fF.dr.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Let F = -y³i +x°j+cos z°k and C be the curve generated by the intersection of the
cylinder r2 + y² = 4 and the plane I+y+z=1.
Parametrize C and set up, but do NOT integrate, the line integral ſcF · dr
(a)
where the limits of integration are in t.
(b)
Use Stokes' Theorem to calculate S¢F•dr.
Transcribed Image Text:2. Let F = -y³i +x°j+cos z°k and C be the curve generated by the intersection of the cylinder r2 + y² = 4 and the plane I+y+z=1. Parametrize C and set up, but do NOT integrate, the line integral ſcF · dr (a) where the limits of integration are in t. (b) Use Stokes' Theorem to calculate S¢F•dr.
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