Unformatted text preview: x,y,z ) = ( t,t 2 ), 0 ≤ t ≤ 1. 6. A car is traveling along a a curve y = x 2 from x = 0 to x = 1. At the position ( x,y ) the car’s speed is √ 1 + 4 x 2 . How much time does it take for the car to ﬁnish the journey? 7. Compute the integral H C xy 2 dx +( x 2 y + x ) dy where the curve C is the boundary of the rectangle with vertices (0, 0), (1, 0), (1, 1), and (0, 1) with counterclockwise orientation. 8. Compute the integral R C ydx + ( x + sin( e y )) dy along the curve y = sin x from x=0 to x=1. 1...
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 Fall '09
 Phann
 Math, Multivariable Calculus, United States customary units, 10pts, 20 pts, 10 pounds

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