czahand czahand

12-01-2018
Mathematics

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Identify the height for the function: f (t) = 5sec(3t − π) + 1

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mohsinwkhan64 mohsinwkhan64

12-01-2018

(t) = 0 gives
-24t + 60 = 0
t = 2.5
For this t, the second derivative s"(t) = -24 is negative. And so, s(t) is maximum for t = 2.5.
Maximum height is S = -12(2.5)^2 + 60(2.5) +8 = 233ft

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