(1 point) Use a linear approximation to estimate the number (8.07) 2/3 Answer: 4.023 Let y(t) be the solution to y = 10te satisfying y(0) = 3. (a) Use Euler's Method with time step h = 0.2 to approximate y(0.2), y(0.4), ..., y(1.0). ktk 00 10.2 3 Yk 3 20.4 3.0199 30.6 3.0589 40.8 3.1153 51.0 3.1862 (b) Use separation of variables to find y(t) exactly. y(t) = In((10t^2/2)+20.0855) (c) Compute the error in the approximations to y(0.2), y(0.6), and y(1). |y(0.2) y| = 0.00990 |y(0.6) y3|=0.026924 - |y(1) ys= 0.036 (1 point) Find the following expressions if a = 3i - 5k, b = i + j 5k, and c = . = 1. a b 8+81-10j-3k = 4i + 4j + 3k. 2. a c= 3. b. c =