Use Green's Theorem to evaluate | F. dř, where F = (Va + 4y, 2x + 9) C consists of the arc of the curve y = 4x – x² from (0,0) to (4,0) and the line segment from (4,0) to (0,0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Use Green's Theorem to evaluate
F· dr, where
F = (Va + 4y, 20 + V
C consists of the arc of the curve y = 4x
segment from (4,0) to (0,0).
x from (0,0) to (4,0) and the line
-
Hint: Check the orientation of the curve before applying the theorem.
Transcribed Image Text:Use Green's Theorem to evaluate F· dr, where F = (Va + 4y, 20 + V C consists of the arc of the curve y = 4x segment from (4,0) to (0,0). x from (0,0) to (4,0) and the line - Hint: Check the orientation of the curve before applying the theorem.
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