14) Let C: r(t), t € [a, b], be a regular curve in R³, oriented from the point P = r(a), to the point Q = r(b). If x, y = 0, the integral F. F. dr can be calculated with the fundamental theorem of line integrals if we take: A) F(x, y, z) = (2-2³, , −3xz²) B) F(x, y, z) = ( − 2³, #, −3x2²) C) F(x, y, z) = ( − 2³, 7, −3xz²) D) F(x, y, z) = (– 2³, , −3yz²)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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14) Let C: r(t), t € [a, b], be a regular curve in R³, oriented from the point P = r(a), to
the point Q = r(b). If x, y = 0, the integral F.
F. dr can be calculated with the
fundamental theorem of line integrals if we take:
A) F(x, y, z) = (2-2³, , −3xz²)
B) F(x, y, z) = ( − 2³, #, −3x2²)
C) F(x, y, z) = ( − 2³, 7, −3xz²)
D) F(x, y, z) = (– 2³, , −3yz²)
Transcribed Image Text:14) Let C: r(t), t € [a, b], be a regular curve in R³, oriented from the point P = r(a), to the point Q = r(b). If x, y = 0, the integral F. F. dr can be calculated with the fundamental theorem of line integrals if we take: A) F(x, y, z) = (2-2³, , −3xz²) B) F(x, y, z) = ( − 2³, #, −3x2²) C) F(x, y, z) = ( − 2³, 7, −3xz²) D) F(x, y, z) = (– 2³, , −3yz²)
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