homework help > math > calculus q&a board > topic: #12, section 3, chapter 17...

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posted by  Anonymous on 11/4/2009 4:27:18 AM  |  status: Closed  |  Earned Karma: 25

#12, section 3, chapter 17

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Calculus Calculus (6th) by Stewart 17.3 14E 11/4/2009 at 10:00:00 AM
Question Details:
F(x, y)=x^2i + y^2j
C is the arc of the parabola y=2x^2 from (-1, 2) to (2, 8).
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posted by velixy on 11/4/2009 4:44:28 AM  |  status: Live
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Response Details:
F(x, y)=x^2i + y^2j
C is the arc of the parabola y=2x^2 from (-1, 2) to (2, 8).

 
y= 2x^2
dy  = 4x dx
r=  xi +yj
dr =  dx i + dy j
F(x, y)=x^2i + y^2j
  F. dr =   x^2 dx + y^2 dy
           =  x^2 dx + (2x^2)^2  (4x dx)
int_(-1) ^(2)   F. dr  = int_(-1) ^(2)   x^2 dx + (2x^2)^2  (4x dx)   =    171   ANSWER 
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