Consider F and C below.
F(x, y, z)
= yzexzi + exzj + xyexzk,
C: r(t) = (t2 + 2)i +
(t2 − 3)j +
(t2 − 5t)k, 0 ≤ t ≤ 5
(a) Find a function f such
that F = ∇f.
f(x, y, z) =
yexz
(b) Use part (a) to evaluate
F · dr along the given curve C.
Consider F And C Below F X Y Z Yzexzi Exzj Xyexzk C R T T2 2 I T2 3 J T2 5t K 0 T 5 1 (12.79 KiB) Viewed 22 times
Consider F and C below. F(x, y, z) = yzexi + exej + xyek, C: r(t) = (t + 2)i + (2 – 3)j + (2 - 5t)k, (a) Find a function f such that F = Vf. 0<t<5 f(x, y, z) = Ivetz (b) Use part (a) to evaluate det F. dr along the given curve C. x
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