Let F = (7z+7x4) 7 + (3y + 2z + 2 sin(14)) 7 + (7x + 2y + 3e²¹ ) k. (a) Find curl F. curl F = (b) What does your answer to part (a) tell you about F. dr where C is the circle (x - 20)² + (y - 15)² = 1 in the xy-plane, oriented clockwise? JcF. dr = (c) If C is any closed curve, what can you say about F. dr? JF. dr = (d) Now let C be the half circle (x - 20)² + (y − 15)² = 1 in the xy-plane with y > 15, traversed from (21, 15) to (19, 15). Find F. dr by using your result from (c) and considering C plus the line segment connecting the endpoints of C. JcF. dr =
Let F = (7z+7x4) 7 + (3y + 2z + 2 sin(14)) 7 + (7x + 2y + 3e²¹ ) k. (a) Find curl F. curl F = (b) What does your answer to part (a) tell you about F. dr where C is the circle (x - 20)² + (y - 15)² = 1 in the xy-plane, oriented clockwise? JcF. dr = (c) If C is any closed curve, what can you say about F. dr? JF. dr = (d) Now let C be the half circle (x - 20)² + (y − 15)² = 1 in the xy-plane with y > 15, traversed from (21, 15) to (19, 15). Find F. dr by using your result from (c) and considering C plus the line segment connecting the endpoints of C. JcF. dr =
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 62E
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage