Approximate the solution of the initial value problem (ivp) y'5 sin(2r) - y, (0) -1, from x 0 to x =1 with stepsize h-0.2 using: 1. euler's method, 2. the implicit euler method, 3. the trapezoidal method, 4. the modified euler (predictor-corrector) method,

Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.