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(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.

(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.

Advanced Engineering Mathematics
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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Please show work. This is my calculus 3 hw. Part B
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
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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