If x>2 and y>-3 what is the lowest worth of 2x+y^2
Since x and y do not depend on each other... let's let y=0.
So if y=0, then 2x+0^2=2x.
We should minimize x, so make it 2.
2x with x=2 = 4
You are very welcome!
Hey guest! This problem is very non specific in what the value of x can be. As coolstuffYT pointed out, the value of y is minimized at 0(because it's a square term, meaning its either positive or zero). However, the 2x is where things get tricky. Contrary to Coolstuff's answer, the answer is NOT setting x = 2, because the problem clearly defines for us that x > 2, not greater than or equal to. Assuming that the question wants integer values of x and y(it never explicitly says), we set x =3, which gives us:
\(2 * 3 + 0^2 = 6\).