Question

Question #020d3

Answer 1

`y = 10 sqrt(x) + 3`

Explanation:

In math-speak you have:

`y' = alpha/sqrtx` where `alpha` is some constant

Compared to your other stuff, This is simple power rule material:

`int x^n dx = (x^(n+1))/(n+1) + C`

It solves as:

`y = 2 alpha sqrt(x) + beta`

• Applying the `(0,3)` condition:

`3 = 0 + beta implies beta = 3`

• Applying the `(4,23)` condition:

`23 = 2 alpha cdot (pm 2) + 3 implies alpha = pm 5`

`implies y = pm 10 sqrt(x) + 3`

But it has to go through `(4,23)` so it is:

`implies y = 10 sqrt(x) + 3`