Let F(x, y) = (e+ 4y)i+ 9xj. Evaluate the integral / F dr, where C'is the boundary of the region R that is inside the circle x2 + y² = 36 and outside the circle x? – 2x + y² = 3, oriented so that the region is on the left when the boundary is traversed in the direction of its - orientation. NOTE: Enter the exact answer. F. dr %3D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Let F(x, y) = (e-+ 4y)i+ 9xj. Evaluate the integral
F. dr, where
C is the boundary of the region R that is inside the circle x² + y? = 36
and outside the circle x?
2x + y? = 3, oriented so that the region is on
the left when the boundary is traversed in the direction of its
orientation.
NOTE: Enter the exact answer.
F. dr =
Transcribed Image Text:Let F(x, y) = (e-+ 4y)i+ 9xj. Evaluate the integral F. dr, where C is the boundary of the region R that is inside the circle x² + y? = 36 and outside the circle x? 2x + y? = 3, oriented so that the region is on the left when the boundary is traversed in the direction of its orientation. NOTE: Enter the exact answer. F. dr =
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