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midterm264

# midterm264 - 10 2 3 Evaluate RR S 1 √ z-y 1 dS where S is...

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Name: Id. number: Answer all 4 questions in space provided. No calculators 1. Evaluate H C x 2 ydx + ( x - y ) dy counterclockwise once around the curve C bounding the regions described by the curves x = 1 - y 2 , y = x + 1 1

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2. Evaluate the work done by the force field F = ( x 3 1+ x 4 , y 2 e y + x, z 1+ z 2 ) in moving a particle once around the curve of intersection of x 2 + y 2 + z 2 = 4 and z = 1, in a counterclockwise fashion as viewed from the point (0

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Unformatted text preview: , , 10). 2 3. Evaluate RR S 1 / √ z-y + 1 dS where S is the surface deﬁned by 2 z = x 2 + 2 y, ≤ x ≤ 1 , ≤ y ≤ 1. 3 4. Calculate the ﬂux of F = x i + y j downward across the surface z = x 2 + y 2 below z = 1. 4...
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midterm264 - 10 2 3 Evaluate RR S 1 √ z-y 1 dS where S is...

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