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Unformatted text preview: W & (c) Compute the actual error when is used to estimate the sum. W & (You can use this to check your answer for (b), but not to obtain an answer for (b)). 2. Use Euler's method to estimate ( ) if and and (give C % o CÐ"Ñ o " > o Þ!" .C .> > C " " ? your answer correct to 3 decimal places). Is this an over or underestimate? (Note: To prevent excess printing, you can suppress Maple output by using a colon " : " at the end of a line. ) 3. Let 0ÐBÑ o o ! B! otherwise if %B/ #B (a) Show that is a pdf . (b) Find the mean of the distribution. (c) Which is bigger the mean or the median of the distribution? Explain. (d) Find the standard deviation of the distribution. 4. Find the center of mass of the region bounded by the curve , ln and = C o B C o # ÐB "Ñ # B o "Þ...
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This note was uploaded on 12/05/2011 for the course MATH 41 taught by Professor Bray,c during the Spring '08 term at Duke.
- Spring '08