Prove that the integral: √ [2xyz² dx + (x²z² + z cos yz)dy + (2x²yz + y cos yz)dz ] Is independent of path in any domain and hence find the value of I from A: (0,0,1) to (1, 2, 2).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
icon
Related questions
Question
maths 1819
Q5
Prove that the integral :
√ [2xyz² dx + (x²z² + z cos yz)dy + (2x²yz + y cos yz)dz ]
Is independent of path in any domain and hence find the value of I from A: (0,0,1)
to (1, 2, 2).
Transcribed Image Text:Q5 Prove that the integral : √ [2xyz² dx + (x²z² + z cos yz)dy + (2x²yz + y cos yz)dz ] Is independent of path in any domain and hence find the value of I from A: (0,0,1) to (1, 2, 2).
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