3. Let F = (x - y, xy) and C be arc of the circle x? + y? = 4 traversed counter-clockwise from (2,0) to (-2,0). A sketch of the vector field a curve are below. (a) Using the image above, determine whether F- dr is positive or negative. (b) Evaluate | F . dĩ. You may use that sin?(t) = /2. (Hint: the answer is 16/3 + 27)
3. Let F = (x - y, xy) and C be arc of the circle x? + y? = 4 traversed counter-clockwise from (2,0) to (-2,0). A sketch of the vector field a curve are below. (a) Using the image above, determine whether F- dr is positive or negative. (b) Evaluate | F . dĩ. You may use that sin?(t) = /2. (Hint: the answer is 16/3 + 27)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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