Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, y, z)=i+zj + yk (a) C₁: r₁(t) = cos(t)i + sin(t))+ tk, Ostsn 0 (b) C₂r₂(t)=(1-2t)i+z²tk, 0sts 1 0

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Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.)
F(x, y, z)=i+zj + yk
(a) C₁: r₁(t) = cos(t)i + sin(t)j + t²k, Osts
0
X
(b) C₂₂(t)= (1-2t)i+z²tk, 0 st≤1
0
X
Transcribed Image Text:Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, y, z)=i+zj + yk (a) C₁: r₁(t) = cos(t)i + sin(t)j + t²k, Osts 0 X (b) C₂₂(t)= (1-2t)i+z²tk, 0 st≤1 0 X
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