Hello!
This is a problem about the general solution of a differential equation.
What we can first do here is separate the variables so that we have the same variable for each side (ex. 
with the 
term and 
with the 
term).
Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.
Then here, we just solve for and we have our general solution.
![y=\sqrt[3]{\frac{1}{2}x^2-x+C}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B2%7Dx%5E2-x%2BC%7D)
We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.
Hope this helps!
It will take about 2 hours and 15 minuets
Hope this helped!
Answer:
b = {0, 1, 2, 3, 4, 5}
Step-by-step explanation:
The domain of a function is simply all the possible values the independent variable can assume that the function will work and will give a real number.
In this question, we have:
m = 45 – 8b
b is the independent variable because the money, m, depends on the number of books, b, bought.
Since we can't have negative value for m as it represents an amount of money, then the values b can assume can be gotten through:
45 – 8b = 0,
8b = 45
b = 45/8 = 5.625
For the m, money, to remain positive b shouldn't go beyond 5.625
Also we should note that b, books, can't be a negative (no such thing as negative books) or a fractional value (no such thing as buying parts of a book) as well. Therefore, b = {0, 1, 2, 3, 4, 5}
-3.25, -2, 1/2, 5, 5.6, 9
4b-14 because you distribute the negative sign to the 6-b
