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T(p)=(p-0.5)(1000/1-p^2) p∈{0.5,∞) Find all the critical points. b- Find Extreme values and Absolute Extreme values.
Question
T(p)=(p-0.5)(1000/1-p^2)
p∈{0.5,∞)
Find all the critical points.
b- Find Extreme values and Absolute Extreme values.
c- Determine the behavior of function in the given interval.
d- What happened as p tends to infinity i.e.
e- Sketch the graph using information from a to d points.
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Mathematics
3 years
2021-08-14T04:45:43+00:00
2021-08-14T04:45:43+00:00 1 Answers
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Answers ( )
Answer:
Step-by-step explanation:
T’ = 1000(p^2 – 1 + 1)/(p^2-1)^2
(a) since T’ is never zero, there are no maxima or minima.
However, there are asymptotes at p = -1 and p=1
(b) no extremes
(c) on [0.5,1) T increases to ∞
on (1,∞) T increases from -∞ to 0
(d) y=0 is the horizontal asymptote
there are lots of handy online graphing sites.