homework - List of Paper Homework to be Turned In for Math...

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List of Paper Homework to be Turned In for Math 152.01 (Autumn 2011) Kiam Heong Kwa November 8, 2011 Sec 9.1 due 12/01: 2, 4, 8, 12 Sec 8.2 due 11/15: 6, 12, 14, 26, 28, 30 Exercise 30: The upper half of the torus is generated by rotating the curve ( x - R ) 2 + y 2 = r 2 , y > 0 , about the y -axis. Sec 8.1 due 11/15: 4, 6, 10, 14, 16, 20, 34 Exercise 6: The curve consists of two smooth curves of equal length, i.e., y = | b | r 1 - x 2 a 2 and y = -| b | r 1 - x 2 a 2 . Exercise 10: Compare to the solution of exercise 9 in the notes. Exercise 16: x - x 2 = p x (1 - x ) is defined only for 0 x 1 . Exercise 20: Based on the coordinates of the points P and Q , one can assume that x > 0 . Sec 7.8 due 11/08: 6, 12, 18, 20, 26, 30, 36, 40, 68 Exercise 26: First use integration by parts (R uv 0 dx = uv - R u 0 v dx ) with u = arctan( x ) , v 0 = x (1 + x 2 ) 2 . Then use the trigonometric substitution x = tan( θ ) . Exercise 40: Use integration by parts
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homework - List of Paper Homework to be Turned In for Math...

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