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.
Answer:
4.75
Step-by-step explanation:
5 times $.95. equals $4.75
Answer:
$128
Step-by-step explanation:
your looking for 16/8, divide 16 by 3, leaving you with 5.333...
now times that by $24, and you have your answer hope this helps
Answer:
5
Step-by-step explanation:
(3,8) (0,4)
X1 = 3 X2 = 0
Y1 = 8 Y2 = 4
Do what's in the parentheses so...
- 3-0= 3
- 8-4= 4
Now plug it in!
Now you are going to finish the parentheses so...
- (3)^2= 9
- (4)^2= 16
Plug that in so that you have this...
Add 9+16 to get...
Then you are going to find the number or numbers that make this a perfect square...
So 5 is your answer
i could tell you what n is if you tell me what t is
sorry not much help
