X | Y
-2 | 9
-1 | 6
0 | 3
1 | 0
2 | -3
Area of the parabolic region = Integral of [a^2 - x^2 ]dx | from - a to a =
(a^2)x - (x^3)/3 | from - a to a = (a^2)(a) - (a^3)/3 - (a^2)(-a) + (-a^3)/3 =
= 2a^3 - 2(a^3)/3 = [4/3](a^3)
Area of the triangle = [1/2]base*height = [1/2](2a)(a)^2 = <span>a^3
ratio area of the triangle / area of the parabolic region = a^3 / {[4/3](a^3)} =
Limit of </span><span><span>a^3 / {[4/3](a^3)} </span>as a -> 0 = 1 /(4/3) = 4/3
</span>
So half of Nina's age is 10/2= 5. And since Greg is three years younger we subtract from 5 like so...
10/2=5
5-3
2
So Greg is 2 years old. I hope this helps love! :)
Did this wrong sorry I thought it was greatest to least.