<s>[INST] The Linear Approximation of a multivariable function is given by:

Δf(x) ≈ (∂f/∂x)(a)Δx + (∂f/∂y)(a)Δy

where 
- f(x) is the function
- Δf(x) is the change in the function
- (∂f/∂x)(a) is the partial derivative of f with respect to x evaluated at a
- (∂f/∂y)(a) is the partial derivative of f with respect to y evaluated at a
- Δx is the change in x
- Δy is the change in y

Now, we have been given a multivariable function f(x,y) = (2x^2 + 3y^2)

We want to use the Linear Approximation to estimate the change in f when x changes from 2 to 2.01 and y changes from 3 to 3.02

Now, my question is: What is the linear approximation of the change in the function?[/INST]