Use Green's Theorem to evaluate S² F. dr, where F = (√x + 7y, 6x + √√y) and C is the path that travels along the curve y = 4x - x² from (0, 0) to (4,0) and then along the line segment from (4, 0) to (0,0).
Use Green's Theorem to evaluate S² F. dr, where F = (√x + 7y, 6x + √√y) and C is the path that travels along the curve y = 4x - x² from (0, 0) to (4,0) and then along the line segment from (4, 0) to (0,0).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 25E
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Question
![Use Green's Theorem to evaluate
S²
F. dr, where
F = (√x + 7y, 6x + √√y)
and C is the path that travels along the curve y = 4x - x²
from (0, 0) to (4,0) and then along the line segment from
(4, 0) to (0,0).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51b63f9f-0f8e-489d-b26d-19048856a9e2%2F3ddd85f9-99e3-4707-9639-220b98d5be2f%2Fugygum_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use Green's Theorem to evaluate
S²
F. dr, where
F = (√x + 7y, 6x + √√y)
and C is the path that travels along the curve y = 4x - x²
from (0, 0) to (4,0) and then along the line segment from
(4, 0) to (0,0).
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