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Determine whether F(z, y, z) = yze**i+e**j+rye**k is conservative and calculate F· dr long the given curve C : r(t) = (t² + 1)i + (t² – 1)j + (t² – 2t)k, 0

Determine whether F(z, y, z) = yze**i+e**j+rye**k is conservative and calculate F· dr long the given curve C : r(t) = (t² + 1)i + (t² – 1)j + (t² – 2t)k, 0

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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Determine whether F(x, y, 2) = yze"i+e**j+xye**k is conservative and calculate F. dr long the given curve C : r(t) = (t² + 1)i+ (t² – 1)j + (t² – 2t)k, 0<t< 2. 20 of 24 f 24 ! Select one: O Conservative, S¢F·dr = 2 O Conservative ſF· dr = 4 O Not Conservative, ſe F · dr = 2 O Not Conservative, ſe F · dr = 4 none of the other answers.
Transcribed Image Text:Determine whether F(x, y, 2) = yze"i+e**j+xye**k is conservative and calculate F. dr long the given curve C : r(t) = (t² + 1)i+ (t² – 1)j + (t² – 2t)k, 0<t< 2. 20 of 24 f 24 ! Select one: O Conservative, S¢F·dr = 2 O Conservative ſF· dr = 4 O Not Conservative, ſe F · dr = 2 O Not Conservative, ſe F · dr = 4 none of the other answers.
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