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There’s nothing like a zero?

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The function y(t)=(1-t)^6 has only one unique zero value at t=1. Plot the graph for 0<=t<=2 with a sampling interval 0.001 and try zero finding to 10 significant figures (s.f.).

You will see that Newton-Raphson fails to converge to the requested accuracy.

What has gone wrong?



See There's nothing like a zero? - Solution


#sequences #equationsolving #numericalmethods
#mathematicsforelectricalengineeringandcomputing12.8



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plotXpose app is a companion to the book Mathematics for Electrical Engineering and Computing by Mary Attenborough, published by Newnes, 2003.