Answer:
Step-by-step explanation:
General form of the linear differential equation can be written as:

For this case, we can rewrite the equation as:

Here 
To find the solution (y(x)), we can use the integration factor method:

Then 
So, we can find:

Suppose that
, then
, and we find:

To check our solution is right or not, put your y(x) back to the ODE:



(it means your solution is right)
If you would like to divide 2/3 by 1/2, you can do this using the following step:
2/3 / 1/2 = 2/3 * 2/1 = 4/3 = 1 1/3
The correct result would be 1 1/3.
Density=mass/volume.
1) we have to calculate the iron volume in liters.
iron volume=second level - first level=49.10 ml-45.50 ml=3.6 ml
3.6 ml=3.6 ml(1 liter / 1000 ml)=0.0036 liters
2) we calculate the mass iron in kg.
28.5 g=28.5 g(1 kg /1000 g)=0.0285 kg.
2) we calculate the density of iron.
density=0.0285 kg / 0.0036 liters=7.92 kg/L
7.92 kg/l=7.92 kg/L(1000 g/1Kg)(1000 cm³/1 L)=7.92 g/cm³.
answer: From this information the Iron density is 7.92 Kg/L or 7.92 g/cm³.
Answer: The function could be y= - 3 cos x
Solution:
One x-intercept is (pi/2,0): We can use a trigonometric function like cosine that has x-intercept (pi/2,0).
The domain of the cosine function is the set of all real numbers.
The maximum value is 3, then the amplitude must be 3: y = 3 cos x
The y-intercept is (0,-3) then it is the functio y = 3 cos x, reflected around the x-axis: y = - 3 cos x
Answer:
1/3
Step-by-step explanation:
there's 9 socks in total and 3 black socks so if it's simplyfied it would be 1/3