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x Y Consider the line integral 1 F. dr, where F(x, y) = ( √ C is the path along (x − 3)² + (y − 2)² = 4, \y-2' x + 2). traversed counter-clockwise, starting at (5,2) and ending at (1, 2). Determine whether the circulation form of Green's Theorem can be directly applied to evaluate this integral. Select the correct answer below: Green's Theorem does not apply because the path C' is not closed. O Green's Theorem does not apply because F(x, y) does not have continuous partials in the interior of C. O Green's Theorem can be directly applied to evaluate this integral.

x Y Consider the line integral 1 F. dr, where F(x, y) = ( √ C is the path along (x − 3)² + (y − 2)² = 4, \y-2' x + 2). traversed counter-clockwise, starting at (5,2) and ending at (1, 2). Determine whether the circulation form of Green's Theorem can be directly applied to evaluate this integral. Select the correct answer below: Green's Theorem does not apply because the path C' is not closed. O Green's Theorem does not apply because F(x, y) does not have continuous partials in the interior of C. O Green's Theorem can be directly applied to evaluate this integral.

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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x Y Consider the line integral 1 F. dr, where F(x, y) = ( √ C is the path along (x − 3)² + (y − 2)² = 4, \y-2' x + 2). traversed counter-clockwise, starting at (5,2) and ending at (1, 2). Determine whether the circulation form of Green's Theorem can be directly applied to evaluate this integral. Select the correct answer below: Green's Theorem does not apply because the path C' is not closed. O Green's Theorem does not apply because F(x, y) does not have continuous partials in the interior of C. O Green's Theorem can be directly applied to evaluate this integral.
Transcribed Image Text:x Y Consider the line integral 1 F. dr, where F(x, y) = ( √ C is the path along (x − 3)² + (y − 2)² = 4, \y-2' x + 2). traversed counter-clockwise, starting at (5,2) and ending at (1, 2). Determine whether the circulation form of Green's Theorem can be directly applied to evaluate this integral. Select the correct answer below: Green's Theorem does not apply because the path C' is not closed. O Green's Theorem does not apply because F(x, y) does not have continuous partials in the interior of C. O Green's Theorem can be directly applied to evaluate this integral.
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