Let C:r(t), t E [a, b], be a regular curve in R3, oriented from the point P = r(a), to the point Q = r(b). the point Q = r(b). If x, y, z- 0, the integral F. dr can be calculated using the fundamental theorem of line integrals if it is taken: A) F(r, y, z) = (, 3y – 22, - 2yz) – 2yz) B) F(r, y, z) = y? – 22, - 2yz C) F(r, y, z) = (G, 3y? – 22, - 2yz D) F(r, y, z) = y? – 2², # - 2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let C:r(t), t E [a, b], be a regular curve in R3, oriented from the point P = r(a), to the point
Q = r(b). the point Q = r(b). If x, y, z- 0, the integral
F. dr
can be calculated using the fundamental theorem of line integrals if it is taken:
A) F(r, y, z) = (, 3y – 22, - 2yz)
– 2yz)
B) F(r, y, z) =
y? – 22, - 2yz
C) F(r, y, z)
= (G, 3y?
– 22, - 2yz
D) F(r, y, z) =
y? – 2², # - 2)
Transcribed Image Text:Let C:r(t), t E [a, b], be a regular curve in R3, oriented from the point P = r(a), to the point Q = r(b). the point Q = r(b). If x, y, z- 0, the integral F. dr can be calculated using the fundamental theorem of line integrals if it is taken: A) F(r, y, z) = (, 3y – 22, - 2yz) – 2yz) B) F(r, y, z) = y? – 22, - 2yz C) F(r, y, z) = (G, 3y? – 22, - 2yz D) F(r, y, z) = y? – 2², # - 2)
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