ass2_2011 - QUESTIONS 1. Write down inequalities...

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THE UNIVERSITY OF SYDNEY MATH2061 VECTOR CALCULUS Summer School Assignment 2010 INSTRUCTIONS This assignment is worth 5% of your assessment for this half of the MATH2061 course. The assignment is due at 4pm on Friday February 11 (to be collected at the end of the tutorial.) There is one question worth a total of 10 marks. Write your fully worked solutions IN PEN on A4 paper and staple them into a manilla folder. You must also sign and attach the included Assignment Cover Sheet.
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Unformatted text preview: QUESTIONS 1. Write down inequalities representing the region R bounded by the curves y = x and y = x 2 , and sketch the region. Evaluate the integral Z Z R ( x + 2 y ) 2 dA , rst by integrating with respect to x rst, then by integrating with respect to y rst. Check that the two answers are the same. (Question 1 is worth 10 marks) 1...
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