f dx + g dy; C is the path consisting of the line segment from A(6, 4) to B(1, 2) followed by the line segment from B(1, 2) to C(3, 6).

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
Section10.6: The Three-dimensional Coordinate System
Problem 6E: For the line l:x,y,z=5,3,-2+n1,2,-2, find a a point of the line. b a direction vector for the line.
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Applying the Fundamental Theorem of Line Integrals
Suppose the vector field F is continuous on2, F = ⟨ƒ, g⟩ = φ, φ(1, 2) = 7, φ(3, 6) = 10, and φ(6, 4) = 20. Evaluate the following integrals for the given curve C, if possible.

f dx + g dy; C is the path consisting of the line segment from
A(6, 4) to B(1, 2) followed by the line segment from B(1, 2) to
C(3, 6).
Transcribed Image Text:f dx + g dy; C is the path consisting of the line segment from A(6, 4) to B(1, 2) followed by the line segment from B(1, 2) to C(3, 6).
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