Question #1848

Consider the function f(x) = 5x[sup]7[/sup] + 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)|.

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)|.

Expert's answer

Unfortunately, your question requires more work than to be done for free. You can submit it as an assignment to our control panel set the deadline and our experts will assist you.

## Comments

## Leave a comment