please help, thankyou

It turns out that your friends have allergies to chicken and now they're into moto-cross. They have a small square backyard which is 4m long and 4m wide. They want to create a hill area so that they can have mom-cross fun in the backyard. More precisely, they want that there are four nicely spaced-out hills! You remember your. lectures and the following functions comes to your mind (of coursel): w, y) = 10x2y26_'"2_y2 + 20. Explain to your friend how the plot of this function could help them to model their backyard! Specically, do the following: determine all stationary points of f(:l:', y) and classify those for which the Hessian test is not inconclusive; explain what this has to do with your friend's design for the backyard. Note: For the classication of stationary points, you are not required to compute the Hessian matrix by hand, but you can simply use WOUl'CImAfpha to compute the required determinant values; you need to write down these values and explain what they tell you