, 22.06.2019 20:20 lbelle

# F(t, u) consider the following numerical method to solve u' = 1 un+1 = u" += (f\ + f2) , 2 where k is the time step, and fi f(t",u"), f2 = f(t" k, u" +kf\), (a) what is the order of local truncation error for the method? (b) what is the absolute stability region of this method? does it include the entire negative real axis? (c) take f(t, u) compute the solution up to the final time t = 1. verify the conclusion in (a) by your numerical results = -u +t with u(0) = 1.

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The table shows how an elevator 500 feet above the ground is descending at a steady rate. which equation represents the height, h(t), of the elevator in feet, as a function of t, the number of seconds during which it has been descending? height in feet time in seconds (t) 0 5 h(t) 500 475 450 425 oh(t) = 5t + 500 oh(t) = 5t - 500 oh(t) = -5t + 500 oh(t) = -5t - 500 10 15