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Unformatted text preview: MATH 32B SECOND MIDTERM EXAMINATION Nov. 20th, 2006 Please show your work. You will receive little or no credit for a correct answer to a problem which is not accompanied by sufficient explanations. If you have a question about any particular problem, please raise your hand and one of the proctors will come and talk to you. At the completion of the exam, please hand the exam booklet to your TA. If you have any questions about the grading of the exam, please see the instructor within 15 calendar days of the examination. Name: Section: #1 #2 #3 #4 #5 Total 1 2 32B MIDTERM 2 RADKO Problem 1. Sketch the vector field F ( x, y ) = ( x − y ) i + xj on the plane. (Here i is the unit vector along the xaxis and j is the unit vector along the yaxis). Solution. Compute and picture the restriction of F ( x, y ) on to the lines x = 0 ; y = 0 ; x = y ; y = − x ; y = 2 x ; y = − 2 x . 32B MIDTERM 2 Radko 3 Problem 2. Let F ( x, y, z ) = yz i + xz j + ( xy + 2 z ) k ....
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 Fall '08
 Rogawski
 Math, Vector field

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