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hw5 - PLEASE clearly write down your NAME Student ID...

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Fall 2010, MAT21B, Written Homework 5 Due: Wednesday, May 5 lecture time in class Name Student ID Section number TA’s name Instructions. You are required to complete and hand in all three problems. One of these three problems will be randomly picked and graded by our TAs. The homework has totally 10 points. If you turned in a ”reasonable (as determined by the TA)” homework showing your hard work, you will automatically get 4 points. The rest 6 points comes from the one problem graded by our TAs.
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Unformatted text preview: PLEASE clearly write down your NAME, Student ID, SECTION number as well as your TA’s name. Otherwise, your homework will be easily got lost due to the size of the class. 1. Find the length of the parametric curve x = e t-t,y = 4 e t 2 , ≤ t ≤ 1 . 2. Find the centroid (¯ x, ¯ y ) of the region bounded above by the curve y = x +2 and below by y = x 2 . 3. Find the area of surface generated by revolving the curve x = p 2 y-1 , 5 8 ≤ y ≤ 1 about the y-axis. 1...
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