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This 2 page Class Notes was uploaded by Ms. Helen Sipes on Sunday September 27, 2015. The Class Notes belongs to MATH 165 at Iowa State University taught by Staff in Fall. Since its upload, it has received 10 views. For similar materials see /class/214500/math-165-iowa-state-university in Mathematics (M) at Iowa State University.
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Date Created: 09/27/15
Math 165 M2 Your Name Below MUST BE WRITTEN CLEARLY October 2 2008 LECTURE This is how we calculate the intersection angle of two arbitrary curves where y and 2 First7 by solving equation 91 one deduces the intersection point as zofzo VViLiOiG7 let s assume there is only one intersectioni Then7 one needs to identify the slopes of the tangent lines to the two curves Then7 one has the intersection angle is given by 9 arctanm1 7 arctanm2 arctanfzo 7 arctangzoi Names Group Work 3 Math 165 Turn in one copy of your work and answers with all names of the group members on it Show all work on each problem to receive credit for this exercise You may not consult with other groups7 but you may use your book and notes and ask questions of the instructor This exercise counts as one quiz score 1 2 00 7 Use the Bisection Method to determine the positive root of the function f 2 32x 7 177 which lies between 0 and 1 Use 5 iterations of the algorithmn Use Newton7s Method to determine the positive root of the function g 7x3 07x 23 Use an initial guess of 0 1 and use 5 itertions of the algorithmn Use Newton7s Method to calculate a 18 to an accuracy of 3 decimal places Demonstrate andor explain why using Newton7s Method to attempt to nd a root of the 0x 7 function h even though there is a root located at z 005 using an initial guess of 0 02 will not result in convergence7