viii. Find the maximum and minimum energy points in the time interval (0, 5) = J p(t)dt) sec. (Hint: eпergy

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Chapter5: Exponential And Logarithmic Functions
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Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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part viii

If the power of the rocket handler is given by
P = [(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 →
ii. At what values of t, p is zero. iii.
value of p. iv.
Sketch the graph of p againstt for t2
Find the minimum
Find the maximum value of p.
v.
0.0
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.
vi.
viii. Find the maximum and
minimum energy
points in the time interval (0, 5) = J p(t)dt)
sec. (Hint:
energy
ix.
Find the energy between t=1 sec and t=4 sec.
8
Transcribed Image Text:If the power of the rocket handler is given by P = [(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 → ii. At what values of t, p is zero. iii. value of p. iv. Sketch the graph of p againstt for t2 Find the minimum Find the maximum value of p. v. 0.0 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. vi. viii. Find the maximum and minimum energy points in the time interval (0, 5) = J p(t)dt) sec. (Hint: energy ix. Find the energy between t=1 sec and t=4 sec. 8
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