4. (a) Evaluate feeds where C is the are of the parabola y = r² from (0,0) to (1,1) (b) Evaluate fyz cos x ds where C is given by x = t, y = 3 cost, z = 3 sint, 0 tπ. (c) Evaluate foxy dx + y² dy+yz dz where C is the line segment from (1,0, -1) to (3, 4, 2). 5. Determine if the following vector fields are conservative or not. If it is conservative, find the potential function f such that Vf = F

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
Question
Please do 4
4. (a) Evaluate feeds where C is the are of the parabola y = r² from (0,0) to (1,1)
(b) Evaluate fyz cos x ds where C is given by x = t, y = 3 cost, z = 3 sint, 0 tπ.
(c) Evaluate foxy dx + y² dy+yz dz where C is the line segment from (1,0, -1) to (3, 4, 2).
5. Determine if the following vector fields are conservative or not. If it is conservative, find the potential
function f such that Vf = F
Transcribed Image Text:4. (a) Evaluate feeds where C is the are of the parabola y = r² from (0,0) to (1,1) (b) Evaluate fyz cos x ds where C is given by x = t, y = 3 cost, z = 3 sint, 0 tπ. (c) Evaluate foxy dx + y² dy+yz dz where C is the line segment from (1,0, -1) to (3, 4, 2). 5. Determine if the following vector fields are conservative or not. If it is conservative, find the potential function f such that Vf = F
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage