Answer:
18.25
Explanation:
we are given a quadratic function
where:
- f(x) represents the height
- x represents the time
To find the maximum value of f(x) in other words, the maximum height, in feet, reached by the arrow.
Differentiate both sides:
with sum differentiation rule, we acquire:
recall that,
- differentiation of a constant is equal to 0
utilizing the rules we acquire:
now equate f'(x) to 0:
solving the equation for x yields:
plug in the maximum value of x into the quadratic function:
simplify:
hence,
The maximum height reached by the arrow is 18.25 feet