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winter06answers - 1 A 2)A 3)B 4)B 5)B(since only works if...

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1) A 2)A 3)B 4)B 5)B (since only works if array is sorted. you should ask for a clarification during an exam though about this as it is unclear) 6)C 7)A 8)B (sometimes fails to converge if initial guess is too far from actual root) 9)E 10) we didn't discuss this although true 11)E (note that you don't have to do any calculation to get this (other than simple divisions--i.e. knowing that the midpoint of 2 and 4 is 3). Also note that in general on these type of problems, it is enough to figure out whether your next guess is positive or negative rather than calculating the exact value. For example, if at one step you have your lower guess is 2 and your upper guess is 3. You then make middle =2.5 and want to figure out what your next guess will be after that. All you ahve to do is figure out whether f(2.5) is < 0 or >0. You don't need to find out the exact value. 12)D 13)C 14)C 15) A 16) C 17) B we need to calculate f(.25) f(.75) f(1.25) f(1.75) f(.25) = sin( pi/2) + 1 = 1 f(.75) = sin(1.5 pi) + 1 = 1 f(1.25) = sin(2.5 pi) + 1 = 1 f(1.75) = sin(3.5 pi) + 1 = 1 1 + 1 + 1 + 1 =4 * dx = 4 * .5 = 2 18)there is a typo here. the question asks about x=.2 and x=.4 and the answers are
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