PS5 - MIT OpenCourseWare http://ocw.mit.edu 18.01 Single...

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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 5 Due Friday 10/27/06, 1:55 pm Part I (20 points) Lecture 19. Fri. Oct. 20 First fundamental theorem. Properties of integrals. Read: 6.6, 6.7 (The second fundamental theorem, discussed in Lecture 20, is stated in the text as (13) at the bottom of page 215 and also as Step 1, page 207, of the proof of the first fundamental theorem.) Work: 3C-1, 2a, 3a, 5a; 3E-6bc; 4J-2 Lecture 20. Tues. Oct. 24 Second Fundamental Theorem. Defn of ln x . Read: Notes PI, p.2 [eqn.(7) and example]; Notes FT. Work: 3E-1, 3a; 3D-1, 4bc, 5, 8a; 3E-2ac Lecture 21. Thur. Oct. 26 Areas between curves. Volumes by slicing. Read: 7.1, 7.2, 7.3 Work 1 : 4A-1b, 2, 4; 4B-1de, 6, 7 Lecture 22. Fri. Oct. 27 Volumes by disks and shells. Read: 7.4 Work on PS 6 Part II (30 points + 5 extra credit) 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....
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PS5 - MIT OpenCourseWare http://ocw.mit.edu 18.01 Single...

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