If the power of the rocket handler is given by = [(t – 11)(t2 + 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 → o At what values of t, p is zero. ii. iii. Find the minimum value of p. Find the maximum value of p. iv. Sketch the graph of p against t for t20.0 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. vii. Does P have an inflection point, if yes find it. viii. Find the maximum and minimum energy points in the time interval (0, 5) sec. (Hint: energy J p(t)dt) ix. V. Find the energy between t=1 sec and t=4 sec.

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