[Excel Exercise]

(a) Plot the graph off(x) = 3x+ 2x^2-x^3-5 over the interval [0, 3] using 0.2 as a step

size. From the graph estimate the smaller of the two roots off(x) = 0 . (This should be

correct to 1 decimal place.)

(b) Use the Newton-Raphson method to find an approximation to the smaller positive root

off(x) = 0 correct to 7 decimal places.