Unformatted text preview: / 3 +5 x 1 / 4 . You are not asked to ﬁnd a ”best possible” A . You are asked to ﬁnd a valid A and to support your answer with some reasoning. Answers may vary. When using the underestimating function 1 / (9 x 1 / 3 ) we naturally get A > (6 · 10 10 + 2 2 / 3 ) 3 / 2 (13) 1. Suppose A is a positive real number and let m A be the average of (sin( Ax )) 3 on the interval [0,2]. Compute m A . Note: The answer will have several terms and will not be simple. m A = (1 / (2 A ))(cos 3 (2 A ) / 3cos(2 A ) + 2 / 3) 2. What is lim A →∞ m A ? Note: This answer should be simple. Explain brieﬂy why it is correct. lim A →∞ m A = 0. (here we use the fact that cosine is a bounded function, and the squeeze theorem). p. 1...
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 Fall '08
 Madey
 Physics, Calculus, Limit, Mathematical analysis

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