To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.
H'(t) = -32t + 64
Now find the critical numbers:
-32t + 64 = 0
-32t = -64
t = 2 seconds
Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):
H'(1) = 32
H'(3) = -32
As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.
To find the height, plug t=2 into H(t):
H(2) = -16(2)^2 +64(2) + 30 = 94
The answer is 94 ft at 2 sec.
What are we exactly supposed to solve for here
Answer: 5/2
5/6 / 1/3 = 2.5
2.5 in fraction = 5/2
Answer:
Step-by-step explanation:
If ali has 23 so Raina has 7 more than Ali = 23 + 7 = 30
And trey has 4 times as much as Ali = 23 x 4 = 92
Total = 92 + 23 + 30 = 145
