Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
(4, w/8) 1. (y cos xy dx + x cos xy dy) (0,0) (0,5) 2. e2* dx + ye2 dy) (5,0) (1,1) 3. 2(x dx +y dy) (-1,-1) (6, m) 4. | (cos? y dx 2x cos y sin y dy) (2,0) (0,1,2) 5. (z e** dx + dy + xe** dz) (2,3,0) (1,1,0) 6. 2-2: (x dx + y dy - dz) (0,0,0) (780)

(4, w/8) 1. (y cos xy dx + x cos xy dy) (0,0) (0,5) 2. e2* dx + ye2 dy) (5,0) (1,1) 3. 2(x dx +y dy) (-1,-1) (6, m) 4. | (cos? y dx 2x cos y sin y dy) (2,0) (0,1,2) 5. (z e** dx + dy + xe** dz) (2,3,0) (1,1,0) 6. 2-2: (x dx + y dy - dz) (0,0,0) (780)

Algebra & Trigonometry with Analytic Geometry
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 35E
See similar textbooks
icon
Related questions
Question
PROBLEM SET 10.2 1-8 PATH-INDEPENDENT INTEGRALS Show that the form under the integral sign is exact in the plane (Probs. 1-4) or in space (Probs. 5-8) and evaluate the integral. (Show the details of your work.) (4, m/8) 1. (y cos xy dx + x cos xy dy) (0,0) 2. (0,5) (ye2* dx + ye²* dy) (5,0) (1,1) 3. (-1,-1) 2- (r dx + y dy) (6,7) | (cos? y dx - 2x cos y sin y dy) 4. (2.0) (0,1,2) 5. (z e** dx + dy + xe* dz) (2,3.0) (1.1,0) 6. |+y?-2: (x dx + y dy - dz) (0,0,0) (7.8,0) 7. (2ry dx + x dy + sinh z dz) 1.0,0) (4,4,0) 8. (2,0,1) z3) dx + 3x2y2 dy - 3x222 dz] 9. Show that in Example 4 of the text we have F = grad (arctan (y/x)). Give examples of domains in which the integral is path independent.
Transcribed Image Text:PROBLEM SET 10.2 1-8 PATH-INDEPENDENT INTEGRALS Show that the form under the integral sign is exact in the plane (Probs. 1-4) or in space (Probs. 5-8) and evaluate the integral. (Show the details of your work.) (4, m/8) 1. (y cos xy dx + x cos xy dy) (0,0) 2. (0,5) (ye2* dx + ye²* dy) (5,0) (1,1) 3. (-1,-1) 2- (r dx + y dy) (6,7) | (cos? y dx - 2x cos y sin y dy) 4. (2.0) (0,1,2) 5. (z e** dx + dy + xe* dz) (2,3.0) (1.1,0) 6. |+y?-2: (x dx + y dy - dz) (0,0,0) (7.8,0) 7. (2ry dx + x dy + sinh z dz) 1.0,0) (4,4,0) 8. (2,0,1) z3) dx + 3x2y2 dy - 3x222 dz] 9. Show that in Example 4 of the text we have F = grad (arctan (y/x)). Give examples of domains in which the integral is path independent.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS