Answer to Question #60683 in Quantitative Methods for esita

Question

1. a) A negative root of smallest magnitude of the equation x 5x 20 0
3
+ + = is to be determined
i) Find an interval of unit length which contains this root
ii) Perform two iterations of the bisection method
iii) Taking the end points of the last interval as initial approximations perform one iteration
of the secant method. (5)
b) Find a root of the equation 0 3x 10x 10x 7
3 2
+ + + = which is close to − 0.2 using the
Birge-Vieta method. Perform two iterations of the method. (3)
c) Obtain the cube root of 12 using Newton-Raphson formula.

Answer 1

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