Answer:
max height = 7.5 ft
1.3 ft far
Please check below for the detailed answer
Step-by-step explanation:
<u>Given: </u>
f(x) = −0.3x^2 + 2.1x + 7
a) To obtain the maximum height , find f'(x)
f'(x) = - 0.6x + 0.8 = 0
=> x = 0.8 / 0.6 = 1.33 feet
So f(x) is maximum at a horizontal distance of 1.33 ft
To find the max height , find f(1.33)
f(x) = −0.3x^2 + 2.1x + 7, plug in 1.33 for x
=> f(1.33) = −0.3(1.77) + 0.8(1.33) + 7 = 7.5 ft
So the answer is
Maximum height = 7.5 ft , and 1.3 ft far from where it was thrown.
