
by separating the variables
∴ y dy = -x dx
integrating both sides with respect to x
∴ ∫y dy = ∫-x dx
∴

finding c using initial condition y(2) = 2.
∴

∴ c = 4
∴

multiplying all the equation by 2
∴ y² = -x² + 8
∴ x² + y² = 8
The resultant equation represents the equation of the circle
with center (0,0) and radius = √8 = 2√2
so, the domain of this function is [-2√2 , 2√2]
See the attached figure
It would be 7.62
you would have to use pythagorean theorem and do 7 squared plus 3 squared. you would get 58. then you have to square root 58 which would give you 7.62
We can write it az 2 minus sum of p and 6
As p and 6 are in bracket therefore first we add p and 6 and then subtract the sum from 2
I believe it is 75% because he is selling them for $3 more than what he bought them for and bought them for $4 and 3 is 75% of 4, sorry if i'm wrong