Answer:
1.25
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 and 3 are 128
4 is 52
2 and 6 are 136
5 is 44
7 and 10 are 74
9 and 8 is 106
13 and 18 equals 52
14 and 17 is 128
12 and 15 is 44
11 and 16 is 136.
Answer:
When the ball hit the ground, the height of the ball will be zero. So using the value of h(x) as zero in the given equation, we can find the time in which the ball will hit the ground.
0 = -(x-2)^2 + 16
(x-2)^2 = 16
x-2 = 16
x-2 = 4
x = 6
This means the ball will hit the ground 6 seconds after Amir threw it.
Step-by-step explanation:
If you are already given the general solution, finding the particular solution means to impose some conditions in order to fix the coefficients of the general solution.
The first thing we need to impose is that the function must output -1 when the input is zero. So, if we plug zero as input we have

But we want
, which implies 
So, we fixed the first coefficient. To fix the second one, we can use the second piece of information (and of course the already-found value for
).
We want the first derivative to output 3 when the input is zero. So, first of all, let's compute the first derivative, and evaluate it in zero:


And as before, since
and we want
, we deduce
.
So, once we fix both coefficients, the general solution becomes
