16. Integrate f(x, y, z) = x + Vy – z? over the path from (0, 0, 0) to (1, 1, 1) (see accompanying figure) given by C¡: r(t) = ti + t²j, 0

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16. Integrate f(x, y, z) = x + Vy – z? over the path from (0, 0, 0) to
(1, 1, 1) (see accompanying figure) given by
C1: r(t) = ti + t²j, 0<t< 1
0 <t< 1
C2: r(t) = i + j + tk,
(0, 0, 0)
(1, 1, 1)
C2
C1
(1, 1, 0)
Transcribed Image Text:16. Integrate f(x, y, z) = x + Vy – z? over the path from (0, 0, 0) to (1, 1, 1) (see accompanying figure) given by C1: r(t) = ti + t²j, 0<t< 1 0 <t< 1 C2: r(t) = i + j + tk, (0, 0, 0) (1, 1, 1) C2 C1 (1, 1, 0)
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