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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 18.01 Single Variable Calculus For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . Fall 200 6 18.01 Problem Set 8A Due Friday 12/08/06, 1:55 pm 8A is the first half of Problem Set 8, all of which is due a week after Exam 4. (The second half, 8B, will be issued at the exam.) Even though it wont be collected until later, you should do 8A before the exam, to prepare for it. Part I (15 points) Lecture 30. Fri. Nov. 17 Parametric equations; arclength. Surface area. Read 17.1, 7.5, 7.6 Work: 4E-2, 3, 8; 4F-1d, 4, 5, 8; 4G-2, 5. If a curve is given by x = x ( t ) , y = y ( t ), to find its arclength, use ds in the form ds = ( dx ) 2 + ( dy ) 2 = dx 2 + dy 2 dt , dt dt and integrate from start to finish: from t = t to t = t 1 . Lecture 31. Tues. Nov. 21 Polar coordinates; area in polar coordinates. Read: 16.1, (16.2 lightly, for the pictures), 16.3 to top p.570, 16.5 to middle p.581 Work: 4H-1bfg; 4H-2a,3f;...
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PS8a - MIT OpenCourseWare http://ocw.mit.edu 18.01 Single...

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