For Parts (a) (b), you are given a vector field and a curve C. Use the Fundamental Theorem of Line Integrals to calculate fe F· dr exactly. (a) F = (2r + e") ĭ + (2y + xe") j, and C is the line segment from (2,0) to (5, 1). (b) F = (x + 4y) i + (4x + 6y) j, and C is the parabola y =. 3x2 from (1,3) to (2, 12).
For Parts (a) (b), you are given a vector field and a curve C. Use the Fundamental Theorem of Line Integrals to calculate fe F· dr exactly. (a) F = (2r + e") ĭ + (2y + xe") j, and C is the line segment from (2,0) to (5, 1). (b) F = (x + 4y) i + (4x + 6y) j, and C is the parabola y =. 3x2 from (1,3) to (2, 12).
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 12P
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