The 6 from 4/6 is the denominator.
Hope this helps <3
Answer:
the red one
Step-by-step explanation:
Step-by-step explanation:
a e I o u y are all vowels if that helps
Answer:
From the question we are told that
The equation is 
Generally the goal of this solution is to prove that the implicit solution of the differential equation above is 
First Step
Differentiate the solution with respect to x
![0 = \frac{2x}{ x^2 + 11} + [-cot * csc(y) ]\frac{dy}{dx}](https://tex.z-dn.net/?f=0%20%20%3D%20%5Cfrac%7B2x%7D%7B%20x%5E2%20%2B%2011%7D%20%20%2B%20%5B-cot%20%2A%20csc%28y%29%20%5D%5Cfrac%7Bdy%7D%7Bdx%7D)
=> ![0 = \frac{2x}{ x^2 + 11} + [-\frac{cos(y)}{ sin(y) }* \frac{1}{sin(y)} ]\frac{dy}{dx}](https://tex.z-dn.net/?f=0%20%3D%20%20%5Cfrac%7B2x%7D%7B%20x%5E2%20%2B%2011%7D%20%20%2B%20%5B-%5Cfrac%7Bcos%28y%29%7D%7B%20sin%28y%29%20%7D%2A%20%5Cfrac%7B1%7D%7Bsin%28y%29%7D%20%20%5D%5Cfrac%7Bdy%7D%7Bdx%7D)
=> ![0 = \frac{2x}{ x^2 + 11} + [-\frac{cos(y)}{ sin^2(y) }]\frac{dy}{dx}](https://tex.z-dn.net/?f=0%20%20%3D%20%20%5Cfrac%7B2x%7D%7B%20x%5E2%20%2B%2011%7D%20%20%2B%20%5B-%5Cfrac%7Bcos%28y%29%7D%7B%20sin%5E2%28y%29%20%7D%5D%5Cfrac%7Bdy%7D%7Bdx%7D)
=>
multiply through by 
, 
, 
So
=> ![2 x (sin^2(y) dx + [-cos(y) (x^2 + 11)]dy = 0](https://tex.z-dn.net/?f=2%20x%20%28sin%5E2%28y%29%20dx%20%20%2B%20%5B-cos%28y%29%20%28x%5E2%20%2B%2011%29%5Ddy%20%3D%200)
Looking at the equation obtained we see that it is equivalent to the differential equation hence the implicit solution of is
Step-by-step explanation:
Answer:
No solution
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write out systems of equations
-x + 3y = 3
x - 3y = 3
Step 2: Rewrite equations into slope-intercept form
3y = 3 + x
y = 1 + x/3
-3y = 3 - x
y = -1 + x/3
Step 3: Rewrite systems of equations
y = x/3 + 1
y = x/3 - 1
Since we have the same slope for both equations but different y-intercepts, we know that both lines are parallel. If that is the case, they will never touch or intersect each other. Therefore, we have no solution.
