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2. Consider the vector field F(x, y) = (x,y). Let C be the upper half of the circle of radius 1 centered at the origin (² + y2 = 1) that is traced once counterclockwise. Evaluate the line integral: 1.F. F.dr

2. Consider the vector field F(x, y) = (x,y). Let C be the upper half of the circle of radius 1 centered at the origin (² + y2 = 1) that is traced once counterclockwise. Evaluate the line integral: 1.F. F.dr

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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QUESTION 2 ONLY PLEASE!

1. Let f(x, y) cos(-y) and C be the line segment from (-1, 1) to (3,-2). Set up but do NOT evaluate the following. 2. = √ 1(2₁0 f(x,y) ds Note to your future self about how to do this problem: Consider the vector field F(x, y) = (x,y). Let C be the upper half of the circle of radius 1 centered at the origin (² + y² = 1) that is traced once counterclockwise. Evaluate the line integral: SF. di Note to your future self about how to do this problem: (Ja
Transcribed Image Text:1. Let f(x, y) cos(-y) and C be the line segment from (-1, 1) to (3,-2). Set up but do NOT evaluate the following. 2. = √ 1(2₁0 f(x,y) ds Note to your future self about how to do this problem: Consider the vector field F(x, y) = (x,y). Let C be the upper half of the circle of radius 1 centered at the origin (² + y² = 1) that is traced once counterclockwise. Evaluate the line integral: SF. di Note to your future self about how to do this problem: (Ja
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