In each of 1 through 6, use the second-order Taylor method and the modified Euler method to approximate solution values, using h = 0.2 and n = 20. 2 and 5 can be solved exactly. For these problems, list the exact solution values for comparison with the approximations.y= y3 2x y; y(3) = 2

Calculus notes for the week of 10/3/16 4.1 Maxima and Minima and 4.2 What Derivatives Tell Us 15 10 5 01 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 -5 -10 -15 f has a local maximum at c if f(c) > f(x) for all x sufficiently close to c. f has a local minimum at c if f(c) < f(x) for all x sufficiently close to c. We see that, if f is differentiable at a local...