225k views
0 votes
Identify the middle line for the function.

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

y = 3
y = 2
y = 1
y = 0

2 Answers

2 votes
Hello there.

Identify the middle line for the function.

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

y = 2
User Mankeomorakort
by
8.2k points
6 votes
The solution to the problem is as follows:

'(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

I hope my answer has come to your help. God bless and have a nice day ahead!
User Leopold
by
9.0k points