ix. Find the energy between t=1 sec and t=4 sec!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve for xi branch only

Task 1
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 → 0
ii. At what values of t, p is zero.
iii. Find the minimum value of p.
iv. Find the maximum value of p.
v.
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 = S p(t)dt)
ix. Find the energy between t=1 sec and t=4 sec.
Transcribed Image Text:Task 1 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 → 0 ii. At what values of t, p is zero. iii. Find the minimum value of p. iv. Find the maximum value of p. v. 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 = S p(t)dt) ix. Find the energy between t=1 sec and t=4 sec.
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