VI. Consider the conservative vector field 1. 2. I F(x, y, z) = (z cos(rz) -y sin(ry), 2y cos(ry) - ry² sin(ry), x cos(xz) + z). Find the potential function of F satisfying (7, 1, 2) = 3. ) Evaluate [F-d where C is the curve R(t)=((t-5), 2log (t-4). √t), t€ 5.9].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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VI. Consider the conservative vector field
1.
2.
F(x, y, z) = (z cos(arz) -y sin(ry), 2y cos(ry) - ry² sin(ry), r cos(xz) + z).
³
I
Find the potential function of F satisfying o(,1,2)= 3.
) Evaluated
where C is the curve
R(t)
R(t) = ((t-5), 2 logs(t-4), √t), t€ [5,9].
Transcribed Image Text:VI. Consider the conservative vector field 1. 2. F(x, y, z) = (z cos(arz) -y sin(ry), 2y cos(ry) - ry² sin(ry), r cos(xz) + z). ³ I Find the potential function of F satisfying o(,1,2)= 3. ) Evaluated where C is the curve R(t) R(t) = ((t-5), 2 logs(t-4), √t), t€ [5,9].
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