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MathReview3 - Van Ligten(hlv63 EXAM 2 Review Gilbert(56650...

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Van Ligten (hlv63) – EXAM 2 Review – Gilbert – (56650) 1 This print-out should have 27 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. Use this Review as part of your preparation for Exam 2. Remember that the Review will not count towards the Course Grade. JEG 001 10.0 points Find f x when f ( x, y ) = ln( radicalbig x 2 + y 2 - x ) . 1. f x = x radicalbig x 2 + y 2 2. f x = - 1 radicalbig x 2 - y 2 3. f x = - 1 radicalbig x 2 + y 2 4. f x = 1 radicalbig x 2 + y 2 5. f x = 1 radicalbig x 2 - y 2 6. f x = x radicalbig x 2 - y 2 002 10.0 points Determine f xy when f ( x, y ) = (3 x + 2 y )ln( xy ) . 1. f xy = 3 x + 2 y xy 2. f xy = 3 x + 2 y y 3. f xy = 3 x - 2 y xy 4. f xy = 2 x + 3 y xy 5. f xy = 2 x - 3 y x 6. f xy = 2 x - 3 y xy 003 10.0 points Evaluate the iterated integral I = integraldisplay 5 1 braceleftBig integraldisplay 5 1 parenleftBig x y + y x parenrightBig dy bracerightBig dx . 1. I = 24 ln 5 2. I = 5 ln 12 3. I = 24 ln 12 4. I = 12 ln 5 5. I = 12 ln 24 6. I = 5 ln 24 004 10.0 points Evaluate the double integral I = integraldisplay integraldisplay A xy 2 x 2 + 3 dxdy when A = braceleftBig ( x, y ) : 0 x 1 , - 3 y 3 bracerightBig . 1. I = 9 2 ln parenleftbigg 4 3 parenrightbigg 2. I = 9 ln (2) 3. I = 9 2 ln (2) 4. I = 27 4 ln parenleftbigg 4 3 parenrightbigg 5. I = 27 4 ln (2)
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Van Ligten (hlv63) – EXAM 2 Review – Gilbert – (56650) 2 6. I = 9 ln parenleftbigg 4 3 parenrightbigg 005 10.0 points Find the value of the double integral I = integraldisplay integraldisplay A (6 x - y ) dxdy when A is the region braceleftBig ( x, y ) : 0 x y, 0 y
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