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Question 1 (Worth 1 points) (07.03 MC) Use Euler's Method with two equal steps to approximate y(1) to three decimal places given the differential equation dx O 95.249 9.389 O 3.000 2.559 Points earned on this question: 0 =e and the initial condition y(0) = 1.

Question 3 (Worth 1 points) (07.03 MC) How does the solution curve produced using Euler's Method for the differential equation dy = f(x,y) compare with the actual curve when lim (y n-1 + f(xn-1¹Yn-1)AX)? dx O The solution curve roughly approximates the actual curve. O The solution curve does not approximate the actual curve. O The solution curve is shifted Ax units right. O The solution curve mimics the actual curve perfectly. Points earned on this question: 0

(07.03 MC) Find the missing values in the chart below: dy.Ax nxn Yn dy dx Ay= dx 00 1 -1 0.5(-1)= 1 1 4 NI→ NI→ 2 N NIW 3 4 2 1 O 3100 -100 8 7 5 16 16 B 34 1 2 0.5(-0.25)=- 0.5(0.125)= 0.5(0.3125)= 19 32 1 8 19 32 9 32 1 16 A= and B= OA = 1 and B= O A = 1 and B= 9 3 O A= and B= 4 32 Points earned on this question: 0 5 32