6a. Find . F dr, where F(x, y) = < 4-2y, 2x+ y>, and C consists of the circle x' + y = 4 from (2,0) to (v2, v2) and the line segments from (v2, v2) to (0,0) and from (0, 0) to (2, 0). Sketch the path and evaluate.
6a. Find . F dr, where F(x, y) = < 4-2y, 2x+ y>, and C consists of the circle x' + y = 4 from (2,0) to (v2, v2) and the line segments from (v2, v2) to (0,0) and from (0, 0) to (2, 0). Sketch the path and evaluate.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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Vector Arithmetic
Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.
Vector Calculus
Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.
Question
![6a. Find S. F dr, where F(x, y) = < 4- 2y, 2x + y>, and C consists of the circle x' +y = 4 from
(2,0) to (v2, v2) and the line segments from (v2, V2) to (0,0) and from (0, 0) to (2, 0).
Sketch the path and evaluate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97ef60b4-b429-45d4-a980-4a1f80ac280a%2F517e9f5a-924e-44c4-afaf-4d5a0f47bd38%2Fneluxnh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6a. Find S. F dr, where F(x, y) = < 4- 2y, 2x + y>, and C consists of the circle x' +y = 4 from
(2,0) to (v2, v2) and the line segments from (v2, V2) to (0,0) and from (0, 0) to (2, 0).
Sketch the path and evaluate.
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