exam2sample2

exam2sample2 - MATH 32B SECOND MAKE-UP MIDTERM 26, 2004 MAY...

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MATH 32B SECOND MAKE-UP MIDTERM MAY 26, 2004 LAST NAME FIRST NAME ID NO. Please write clearly and legibly. There are four 20-point problems and four multiple choice problems worth 5 points each. To receive credit, you must circle your answer . DO NOT WRITE BELOW THIS LINE 1 5 2 6 3 7 4 8 TOTAL
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2 PROBLEM 1 (20 Points) Use the mapping T ( u, v ) = ( u - uv, uv ) and the change of variables formula to compute i i R dx dy x + y where R is the shaded region . To receive credit, you must circle your fnal answer x+y = 8 4 x y 8 4 8 x+y = 4 y = x y = (1/2) x
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3 PROBLEM 2 (20 Points) Calculate the line integral of F = a x, z, y A along the line segment from A = (2 , 1 , 1) to B = (0 , 0 , 1). CIRCLE YOUR ANSWER
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4 PROBLEM 3 (20 Points) Find the path integral of f ( x, y ) = 1 + 9 xy along the parabola y = x 3 for 0 x 1. CIRCLE YOUR ANSWER
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5 PROBLEM 4 (20 Points) Compute i i S F · d S where F = a- y, x, x 2 A and S is the portion of the paraboloid
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exam2sample2 - MATH 32B SECOND MAKE-UP MIDTERM 26, 2004 MAY...

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