(i) Construct linear and quadratic approximations to the function f = x1 x2 2 at the point x0 = (1,2) T . Plot the original function and its approximations (as in Example 1.21, Chapter 1). (ii) For...

(i) Construct linear and quadratic approximations to the function f = x1 x2 2 at the point x0 = (1,2) T . Plot the original function and its approximations (as in Example 1.21, Chapter 1). (ii) For the function f = x1 x2 , determine expressions for f (α) along the line x1 = x2 and also along the line joining (0,1) to (1,0)