Y -4).0 . C is the path along (x + 2)² + (y + 2)² = ≤ y-1' x+4 exactly once, starting at (1, -2) and ending at (1, -2). Determine whether the circulation Consider the line integral F F. dr, where F(x, y) =(√²1² traversed counter-clockwise form of Green's Theorem can be directly applied to evaluate this integral. Select the correct answer below: O 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Question
Consider the line integral 1
F. dr, where F(x, y)
=
Select the correct answer below:
x
Y
-4).0
.C is the path along (x + 2)² + (y + 2)² = 9,
1' x +4
traversed counter-clockwise exactly once, starting at (1, -2) and ending at (1, -2). Determine whether the circulation
form of Green's Theorem can be directly applied to evaluate this integral.
O Green's Theorem does not apply because the path C' is not closed.
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:Consider the line integral 1 F. dr, where F(x, y) = Select the correct answer below: x Y -4).0 .C is the path along (x + 2)² + (y + 2)² = 9, 1' x +4 traversed counter-clockwise exactly once, starting at (1, -2) and ending at (1, -2). Determine whether the circulation form of Green's Theorem can be directly applied to evaluate this integral. O Green's Theorem does not apply because the path C' is not closed. 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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