Everything is false besides 2
Answer:
The required value of c is -192.
Step-by-step explanation:
We are given the differential equation:
![xy'+2y=4x^2 \\(x>0)](https://tex.z-dn.net/?f=xy%27%2B2y%3D4x%5E2%20%5C%5C%28x%3E0%29)
The solution to the given differential equation is:
![y=x^2+\dfrac{c}{x^2}](https://tex.z-dn.net/?f=y%3Dx%5E2%2B%5Cdfrac%7Bc%7D%7Bx%5E2%7D)
Initial condition:
![y(4) = 4](https://tex.z-dn.net/?f=y%284%29%20%3D%204)
Putting the values, in the solution, we get,
![4=(4)^2+\dfrac{c}{(4)^2}\\\\4 = 16+\dfrac{c}{(4)^2}\\\\\Rightarrow \dfrac{c}{(4)^2}=-12\\\Rightarrow c =-12(16)\\\Rightarrow c =-192](https://tex.z-dn.net/?f=4%3D%284%29%5E2%2B%5Cdfrac%7Bc%7D%7B%284%29%5E2%7D%5C%5C%5C%5C4%20%3D%2016%2B%5Cdfrac%7Bc%7D%7B%284%29%5E2%7D%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7Bc%7D%7B%284%29%5E2%7D%3D-12%5C%5C%5CRightarrow%20c%20%3D-12%2816%29%5C%5C%5CRightarrow%20c%20%3D-192)
Thus, the required value of c is -192.
Answer:
x = 5, y = 2
Step-by-step explanation:
just trust me, I used a calculator
Answer:The trip would be about 13.75 inches on the map
Step-by-step explanation:
Answer: B.
Step-by-step explanation: (0, 2), (2, 0), and (1, -1) are the correct coordinates of the three vertices of the triangle.