a) An approximation method with a stepsize of h = 0.7 produces an error of 0.4. If the approximation method used has an error which is O(h 3 ), what would you expect the error to be if a stepsize of h = 0.2 had been used instead (give your answer rounded to 6 decimal places)?

(b) An approximation method which is O(h 4 ) produces an error of 0.8 when a stepsize of h = 0.5 is used. What stepsize should be used to obtain an error of about 0.2 instead? Give your final answer rounded to two decimal places.

(c) Prove that f(x) = 7x^6 17x^4 + 8x is NOT O(x^2 ) as x 0