HW2 assignment

# HW2 assignment - HW#2 EGM6341 Spring 2009 Due 1/27/09 From...

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HW#2 EGM6341 Spring 2009 Due 1/27/09 From the textbook by Atkinson: pp.43-50 : 21. For the following numbers x A and x T , how many significant digits are there in x A with respect to x T ? a) x A = 451.023, x T = 451.01 b) x A = -0.045113, x T = -0.04518 c) x A = 23.4213, x T = 23.4604 22. Let all of the following numbers be correctly rounded to the number of digits shown: a) 1.1062+0.947 b) 23.46-12.753 c) (2.747)(6.83) d) 8.473/0.064 For each calculation, determine the smallest interval in which the result, using true instead of rounded values, must be located. 25. Given exact ways of avoiding loss-of-significance errors int eh following computations a) log(x+1) – log(x) large x b) sin(x)- sin(y) x y 29. Assume that x A =0.937 has three significant digits with respect to x T . Bound the relative error in x A . For ( 29 1 f x x = - , bound the error and relative error in ( 29 A f x with respect to ( 29 T f x . 30

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## This note was uploaded on 04/23/2009 for the course EGM 6341 taught by Professor Mei during the Spring '09 term at University of Florida.

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HW2 assignment - HW#2 EGM6341 Spring 2009 Due 1/27/09 From...

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