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:
a = - 3
Step-by-step explanation:
The equation has common factors x(x + 3) on both sides
For the 2 sides of the equation to be equal, then the factor
(x + a) = (x - 3) and by comparison
a = - 3
Answer:
If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of at least 0.22 is 0.03
Step-by-step explanation:
Given the hypothesis :
H0 : pW = pX
Ha : pW > pX
W - X = 0.22
Pvalue = 0.03
Since the Pvalue gives the probability of obtaining a value or result figure which is atleast as extreme as the observed value. The observed value here is 0.22 resulting from the difference in W and X (W - X).
This can thus be interpreted to mean ; going by the Null (difference between W and X) ; the probability of obtaining a value of atleast 0.22 as difference is 0.03
Answer:
statement number 3
Step-by-step explanation:
modes are both 1
One box of candy costs $1.50. A movie rental costs $2.
