(a) Use Eulers method with each of the following step sizes to estimate the value of ys0.4d, where y is the solution of the initial-value problem y9 y, ys0d 1. (i) h 0.4 (ii) h 0.2 (iii) h 0.1 (b) We know that the exact solution of the initial-value problem in part (a) is y ex . Draw, as accurately as you can, the graph of y ex , 0 < x < 0.4, together with the Euler approximations using the step sizes in part (a). (Your sketches should resemble Figures 11, 12, and 13.) Use your sketches to decide whether your estimates in part (a) are underestimates or overestimates. (c) The error in Eulers method is the difference between the exact value and the approximate value. Find the errors made in part (a) in using Eulers method to estimate the true value of ys0.4d, namely, e 0.4. What happens to the error each time the step size is halved?

TERMS OF CONTRACT General Issue Description Statute/Case Description Rule/Excepti on Issue 1: Is the statement a puff, representation or a term Puf Pufs are imprecise statements that tend to be exaggerated. This can be supported by the Koh Wee Meng v Trans Eurokars (2014) case where the court held that the description of the car “whisper-quiet interior” and “magic carpet ride” was a mere puf. If not puff: In this case, the statement is not a puf because details such as _______ are given. Representatio Representations are statements n which have induced t