Answer:
See below
Step-by-step explanation:
With the information given, we only need to find the value of the parameter c1 for which the initial condition holds. Assume our solution is of the given form ![y(x)=\frac{1}{1+c_1e^{-x}}](https://tex.z-dn.net/?f=y%28x%29%3D%5Cfrac%7B1%7D%7B1%2Bc_1e%5E%7B-x%7D%7D)
Then ![y(0)=\frac{-1}{3}=\frac{1}{1+c_1}](https://tex.z-dn.net/?f=y%280%29%3D%5Cfrac%7B-1%7D%7B3%7D%3D%5Cfrac%7B1%7D%7B1%2Bc_1%7D)
Thus
. Therefore, the unique solution to the initial value problem is the function
![y(x)=\frac{1}{1-4e^{-x}}](https://tex.z-dn.net/?f=y%28x%29%3D%5Cfrac%7B1%7D%7B1-4e%5E%7B-x%7D%7D)
Again, it's important to note that the problem gives us the general solution for granted. If you want to solve another IVP, sometimes you need to find the general solution first, and then find the parameters corresponding to the initial conditions.
It is v=a cubed that is the best answer i have
Answer:
Is this a real question...or....
Answer:
They should interview 1620 adults now.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
![M = z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which z is related to the confidence level,
is the standard deviation of the population and n is the size of the sample.
In this question:
z wont change, neither will ![\sigma](https://tex.z-dn.net/?f=%5Csigma)
We want to increase n as such the margin of error is reduced to one third.
We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by
. So
180*9 = 1620
They should interview 1620 adults now.
Answer:
17
Step-by-step explanation:
1 because it's less than 2