19. Evaluate [2² over the path r(t) = (t², sin(πt/4), et²–2t) for 0 ≤ t ≤ 2. 2xyz dx + x² z dy + x² y dz

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 31A
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I don't know how to solve this question with which formulas. Please explain to me with a detailed solution. This answer
should be 16.
19. Evaluate
3
[ 2xyz dx + x²zdy + x²y dz
over the path r(t) = (t², sin(πt/4), et²—2t) for 0 ≤ t ≤ 2.
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Transcribed Image Text:I don't know how to solve this question with which formulas. Please explain to me with a detailed solution. This answer should be 16. 19. Evaluate 3 [ 2xyz dx + x²zdy + x²y dz over the path r(t) = (t², sin(πt/4), et²—2t) for 0 ≤ t ≤ 2. Show Transcribed Text
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