(a) SET UP the line integral [F-dr as a line integral (do not use any theorems). Simplify but DO NOT evaluate.
(a) SET UP the line integral [F-dr as a line integral (do not use any theorems). Simplify but DO NOT evaluate.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Please show work. This is my calculus 3 hw.
Part A only
![Given F(x, y, z)=(-2yz, y, 3x), and C is the curve of intersection of z=₁
and z = 3.
Sketch a representative drawing. Assume C has counterclockwise orientation when viewed from above.
(a) SET UP the line integral [F·dr
evaluate.
dr as a line integral (do not use any theorems). Simplify but DO NOT
(b) Use a theorem to find [F. dr. Which theorem did you use? Evaluate completely. Indicate the
orientations on the curve and the surface you are using.
5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90ae1aab-f107-47ea-b140-00f7b3a4760d%2F7b601efd-3da7-47d2-86d4-2ad64541999e%2Fynii7ok_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given F(x, y, z)=(-2yz, y, 3x), and C is the curve of intersection of z=₁
and z = 3.
Sketch a representative drawing. Assume C has counterclockwise orientation when viewed from above.
(a) SET UP the line integral [F·dr
evaluate.
dr as a line integral (do not use any theorems). Simplify but DO NOT
(b) Use a theorem to find [F. dr. Which theorem did you use? Evaluate completely. Indicate the
orientations on the curve and the surface you are using.
5
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