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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