16.2 4.pdf - Parametric equations for C are x = −3 2t y = 6 t z = 4t 0 ≤ t ≤ 1 Then √ R R1 2 2(−3 xyz ds = 2t(6 t(4t 22 12 42 dt C √0 R 1 =

# 16.2 4.pdf - Parametric equations for C are x = −3 2t y =...

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Parametric equations for C are x = - 3 +2 t , y = 6 + t , z = 4 t , 0 t 1 . Then integraltext C xyz 2 ds = integraltext 1 0 ( - 3 +2 t )( 6 + t )( 4 t ) 2 2 2 +1 2 + 4 2 dt = 21 integraltext 1 0 ( 32 t 4 + 144 t 3 - 288 t 2 ) dt = 21 bracketleftbigg 32

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Unformatted text preview: · t 5 5 + 144 · t 4 4-288 · t 3 3 bracketrightbigg 1 = √ 21 ( 32 5 + 144 4-288 3 ) =-268 √ 21 5...
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