Suppose that the utility function is: u(x₁,x₂)=(sqrt(x₁))+x₂

1- How would I find the level of utility at(x₁,x₂)=(9,1).

2- Suppose that x₁=9increases by0.01

How can I find Find such that:

u(9,1)=u(9+0.01,1+)

3- Can you please explain how to Evaluate the approximate MRS by:

/0.01

4- How would I show that theapproximate MRS evaluated in part 3 is approximately the same from adirect calculation using calculus.