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# PS2b - MIT OpenCourseWare http/ocw.mit.edu 18.01 Single...

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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

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18.01 Problem Set 2B Due Friday 9/29/06, 1:55 pm 2B is the second half of Problem Set 2, all of which is due along with the first half 2A. Part I (10 points) Lecture 9. Tues. Sept. 26. Linear and quadratic approximations. Read: Notes A Work: 2A-2, 3, 7, 11, 12ade Lecture 10. Thurs. Sept. 28. Curve-sketching. Read: 4.1, 4.2 Work: 2B-1,2: a,e,h; 2B-4, 6ab, 7ab Lecture 11. Fri. Sept. 29. Maximum-minimum problems. Read: 4.3, 4.4 Work: assigned on PS3 Part II (16 points + 3 extra) Directions: Attempt to solve each part of each problem yourself. If you collaborate, solutions must be written up independently. It is illegal to consult materials from previous semesters. With each problem is the day it can be done. 0. (not until due date; 2 points) Write the names of all the people you consulted or with whom you collaborated and the resources you used, or say “none” or “no consultation”. (See full explanation on PS1). 1. (10 points: 2 + 4 + 4; and 3 extra) Golf balls The area of a section of a sphere of radius R between two parallel planes that are a distance h apart is 1 area of a spherical section = 2 πhR Slice the sphere of radius R by a horizontal plane. The portion of the plane inside the sphere is a disk of radius r R . The
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