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3 years ago

14

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

1 answer:

Andrei [34K]3 years ago

5 0

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

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$\begin{array}{ccc}{Row} & {Hours} & {Earnings} & {A} & {2} & {2.5} & {B} & {4} & {3} & {C} & {6} &{3.5} \ \end{array}$

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