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If F = (x+y + 3x, 4x² + 3z, xyz) and C is the curve that goes from (2,3, −1) to (4,2,1) and then from (4,2,1) to (1, −2,1) then Jc Fdi is equal to:

Select one:

a. So (11 + 30t + 12+2 – 16t3)dt b. L.(-512 + 30+² + 790+)dt c. Só (+389 + 777t – 474ť + 92+)dt d. 16-400 + 747t – 486t2 + 10

e. None of the above

math   Advanced-Math   
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Answer #1

r = lny en un esz, nyz) the line joining (2131-1 and (412, 1) is Z + 1 = a (say) 2 na 2 Y- 3 ze I a-2 2 - 3 Tali n-2 Y-3 - 1The line joining (412, 1) and ( 1.2, 1) in N- 4 y-2 - 2-2 ZI - at . n = 49-3t i 2 y=2 - 4t z = 1 then t varies from 0 to 1 11(1084) - 3 42 42+3634 - 132 + 3844 268 ) at ( 10843 - 4866 & 7 478 - 400) at 144 & - Hence J F dro (11-2, 1) ( 4, 2, 1) Ĉid?

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