x²+5t(x) + 3x=2+ x(0)=3 x'(o)=4 At = 0.2 Use the Euler method with a time Step of 0.2 to estimate x(0.6) use at least 5 decimal places in your calculations

For a certain single engine aircraft, time to increase altitude (in seconds per foot) is given h(a) = 0.06e T0 by where a is the current altitude of the plane in feet. a) If H' (a) = h(a) find H(4000) – H(2000) either by hand or using technology and explain what this represents in the context of the problem. Be sure to include all relevant numerical values and units. - 2000 b) Estimate :| h(a)da using M4 . Use 3 decimal places in your calculations. Show clear work on your scratch paper. c) State the area of the second rectangle (from the left) from part (b). Explain the meaning of this area in the context of the problem. Be sure to include all relevant numerical values and units. Use 3 decimal places in your calculations.