Use Euler's Method with a step size of 4x = 0.2 to approximate the solution of the initial-value problem y' = x + y, y(0) = 3 over the interval 0 ≤ x ≤ 1. Carry out all calculations exactly, round to 2 decimal places the final answers only. n xn Уп 1 0.2 2 0.4 3 0.6 i 4 0.8 5 1.0

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.