Engineering Calculus Notes 223

Engineering - x,y,z = x 2 y C is given in parametric form as x = cos t y = sin t z = t ≤ t ≤ π(l f x,y,z = z C is given in parametric form as

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2.5. INTEGRATION ALONG CURVES 211 (c) f ( x,y ) = x 2 + y 2 , C is y = 2 x from (0 , 0) to (1 , 2). (d) f ( x,y ) = 4( x + y ), C is y = x 2 from (0 , 0) to (1 , 1). (e) f ( x,y ) = x 2 , C is the upper half circle x 2 + y 2 = 1, y 0. (f) f ( x,y ) = x 2 + y 2 , C is given in parametric form as b x = t y = 1 t 2 , 0 t 1 . (g) f ( x,y ) = (1 x 2 ) 3 / 2 , C is upper half of the circle x 2 + y 2 = 1. (h) f ( x,y ) = x 3 + y 3 , C is given in parametric form as b x = 2cos t y = 2sin t , 0 t π. (i) f ( x,y ) = xy , C is y = x 2 from (0 , 0) to (1 , 1). (j) f ( x,y,z ) = xy , C is given in parametric form as x = cos t y = sin t z = t , 0 t π. (k) f (
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Unformatted text preview: x,y,z ) = x 2 y , C is given in parametric form as x = cos t y = sin t z = t , ≤ t ≤ π. (l) f ( x,y,z ) = z , C is given in parametric form as x = cos t y = sin t z = t , ≤ t ≤ π. (m) f ( x,y,z ) = 4 y , C is given in parametric form as x = t y = 2 t z = t 2 , ≤ t ≤ 1 ....
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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