Answer:
the x intercept is -2
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

Answer:
cos 4x
Step-by-step explanation:
Because this graph begins at (0, 1), we immediately suspect that it's a cosine function. Additionally, since there are 4 cycles of this cosine function between x = 0 and x = 2pi, we suspect horizontal compression:
cos 4x
Answer: -4
Step-by-step explanation:
Do -6 x 2 to get -12, then divide by 3 to get -4
Thats assuming this is a fraction and not an actual division sign
Answer:
25
Step-by-step explanation:
you would do the total which is 45-20