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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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