Answer:
2.5 second
Step-by-step explanation:
The equation is missing in the question.
The equation is,
, where 'h' is the height and 't' is time measured in second.
Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

Now the differentiating the equation with respect to time t, we get


For maximum height, 
So, 



Therefore, the ball takes 2.5 seconds time to reach the maximum height.
Answer:
(8,6)
Step-by-step explanation:
y=x3/4
y=8(3/4)
y=24/4
y=6
when you input 8 for x, you get 6 for y.
The function is shifted to the right 3 units
a shift to the right is subtracted inside the function
g(x) = f(x-3)
Answer:
Step-by-step explanation:
Given that:
The height of the dock (h) = 6
Let represent d to be the distance between the boat and the dock
Let the length of the rope between the boat and the drum be denoted by (l)
Then, the rate of change for the length of the rope be:
dl/dt = -5 ft/s
Using Pythagoras rule to determine the relationship between these values, we have:



We relate to: 
From the question;
l = 34,
So to find
, we get;




d = 33.46
So, we have:



