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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
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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