# Answer to Question #1848 in Calculus for Namrata

Question #1848

Consider the function f(x) = 5x

a) show (by hand) that there is a unique simple root r in the interval [0,1].

b) use bisection procedure (maple) to approximate r to eight corrent decimal places. Report the approximation xc, the number of steps needed and the backward error |f(xc)|

c) use the newton's method (maple) to approximate r to right corrent decimal places (starting with xo = 0). Report the approximation xc, number of steps needed and the backward error |f(xc)|.

^{7}+ 2x - 1 amd the associated equation f(x) = 0.a) show (by hand) that there is a unique simple root r in the interval [0,1].

b) use bisection procedure (maple) to approximate r to eight corrent decimal places. Report the approximation xc, the number of steps needed and the backward error |f(xc)|

c) use the newton's method (maple) to approximate r to right corrent decimal places (starting with xo = 0). Report the approximation xc, number of steps needed and the backward error |f(xc)|.

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