the last three parts please If the power of the rocket handler is given byP = [(t – 11)(t2 + 1) + 5(7t – 5)]e-0.5t Where tis the time of flight:i. What is the value of p as t gets large [end of flight], t →ii. At what values of t, p is zero. iii.value of p. iv.Sketch the graph of p againstt for t2Find the minimumFind the maximum value of p.v.0.0Analytically, determine the intervals when P is increasing andwhen it is decreasing through the equation and compare it tothe graph you sketched.vii. Does P have an inflection point, if yes find it.vi.viii. Find the maximum andminimum energypoints in the time interval (0, 5) = J p(t)dt)sec. (Hint:energyix.Find the energy between t=1 sec and t=4 sec.8

Hello. Since your question has multiple parts, we will solve the first parts for you. If you want…

If the power of the rocket handler is given by P = [(t – 11)(t? + 1) + 5(7t – 5)]e-0.5t Where t is the time of flight: i. What is the value of p as t gets large [end of flight], t → ii. At what values of t, p is zero. iii. value of p. iv. Find the minimum Find the maximum value of p. v. Sketch the graph of p against t for t2 0.0 vi. Analytically, determine the intervals when P is increasing and when it is decreasing through the equation and compare it to the graph you sketched. Does P have an inflection point, if yes find it. vii. viii. Find the maximum and minimum energy points in the time interval (0, 5) = J p(t)dt) sec. (Hint: 8