Question:

The function f(x,y) = 2x^3 + 3xy + 2y^3 has two critical points for values of x and y E R...?

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i) Find the critical points and identify whether each one is a maximum, a minimum or a saddle point.

ii) Provide an approximate sketch of the countours of the function f(x,y).

iii) If the values of x and y are constrained to lie on the straight line

y + x = 1

use the Lagrange multiplier method to find the value of (x,y) where f(x,y) has a turning point

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  1. Hmm Thats Right

    lol  

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