18.02 Pset 5

# 18.02 Pset 5 - 0), and C = (1 , 1). What is the average...

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18.02 HOMEWORK #5, DUE OCTOBER 28, 2010 BJORN POONEN 1. Part A (After Oct. 14) p. 967: 27, 34* (10 pts.) (After Oct. 14) 3B-1b* (5 pts.), 3B-2c, 3B-4* (7 pts.) (After Oct. 14) p. 976: 42* (7 pts.) (After Oct. 14) 3C-1, 3C-2 (After Oct. 15) p. 1007: 7, 17 (After Oct. 15) 3D-9* (15 pts.), 3D-7* (15 pts.) (After Oct. 19) p. 1028: 12* (6 pts., might be easier after Oct. 22), 17, 27 (suggestion: ignore the suggestion and use geometry instead) (After Oct. 19) 4A-1d, 4A-4 (After Oct. 19) 4B-1b, 4B-2, 4B-3 (After Oct. 22) p. 1036: 25, 37 (After Oct. 26) 4C-1, 4C-6d* (10 pts.) 2. Part B B.1) (After Oct. 14, 15 pts.) Let A = (0 , 0), B = (1 ,
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Unformatted text preview: 0), and C = (1 , 1). What is the average value of the measure of angle PAB as P varies over the points inside triangle ABC ? B.2) (After Oct. 19, 10 pts.) A ﬁeld line for a vector ﬁeld is a connected curve such that at each point of the curve, a tangent vector to the curve is parallel to the value of the vector ﬁeld. Find all ﬁeld lines for the plane vector ﬁeld F ( x,y ) = (1 + x 2 ) i + 4 x j . Reminder: Please write “Sources consulted: none” at the top of your homework, or list your (animate and inanimate) sources. See the course information sheet for details. 1...
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## This note was uploaded on 09/14/2011 for the course MATH 18.02 taught by Professor Auroux during the Fall '08 term at MIT.

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