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lab7_cmf01

# lab7_cmf01 - CGN 3421 Computer Methods Fall 2001 Lab#7 Work...

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CGN 3421 Computer Methods Fall 2001 CGN 3421 lab7_cmf01.fm page 1 of 2 Lab #7 Work by hand: Applying root finding, integration and differentiation (Equations on back) ROOTS: Consider the following equation between There is one root in the range -1.5 to 1.5 a) Perform three iterations of the bisection method to guess the root. use [-1.5 1.5] as initial range b) Perform three iterations of the Newton Raphson method to guess the root. Use -.75 as your initial guess. c) Evaluate the error at the end of each iteration. INTEGRATION: Solve the following integration problems numerically ‘by hand’ using the methods requested in the table exact answer = 0.84 Complete the table below Derivatives Find the derivative numerically for the equation at x = 0 (ans: ) Complete the table below: OVER method number of segments (N) 248 Trapezoidal Simpson’s Gauss Quadrature 1-seg = 2 seg = method 1 .2 .01 .001 backward difference forward difference central difference H Z () ;: ± : ² Ō³ : ´ µ µ ¶·¸ Z ¶·¸ ≤≤ Ō ² π ---------- Z ² Ō ² --------    Z F GZR

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lab7_cmf01 - CGN 3421 Computer Methods Fall 2001 Lab#7 Work...

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