The maximum height of the function is 9
How to determine the maximum height?
The equation of the function is given as:
n=-1t^2 + 2t + 8
Differentiate the function
n' = -2t + 2
Set to 0
-2t + 2 = 0
Subtract 2 from both sides
-2t = -2
Divide both sides by -2
t = 1
Substitute t = 1 in n=-1t^2 + 2t + 8
n=-1(1)^2 + 2(1) + 8
Evaluate
n=9
Hence, the maximum height of the function is 9
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