Math. 69.107GH Daily and Weekly Tests

Math. 69.107GH

DAILY QUIZ 5 & 6 for the week of Sept. 16, 1996


Dr. Angelo Mingarelli
Department of Mathematics and Statistics
Carleton University
Ottawa, Ontario, Canada, K1S 5B6

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1. Let f(x)=x^3 - x^2. Use Newton's method with xo = 0.5, find the term x1. What is the value of x1?
0
undefined
0.5


2. Let f(x) = 2 cos(x) - sin(x) and xo=0.3. Estimate the root by calculating up to x5... What is the estimate for this root?
1.3444
1.1025
1.1071


3. Find an estimate for the positive root of f(x) = x^3 - cos(x).
1.3140
0.86547
1.94151

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