2) A short range rocket is launched, and its height (in feet) above sea level t seconds after launch is given by the following function: h(t) = 4.9t + 1500t + 570. a) At what time (rounded to the nearest whole second) will the rocket splash down and be at a height of 0? b) At what time (rounded to the nearest second) will the rocket reach it's maximum height? c) What is the maximum height the rocket reaches (to the nearest foot)? 4) The data in the table represent the population of bacteria P(t) (in thousands) t hours since the culture was started. t 5 10 15 20 25 30 35 P(t) 37.7 60.9 85.3 96.3 98.6 92.4 77.5 a) Use regression to find a quadratic function to model the data. Round each value to three decimal places. b) Using your model, determine P(40) and interpret its meaning in the context of this example.