Integrate

(i) x Sin x

(ii)

Singular matrix

Singular matrix

If Z = f(x,y) = xy

Find the maximum value for f(x,y) if x & y are constrained to sum to 1 (That is x+y = 1).

Solve the problem in two ways: by substitution and by using the Lagrangian multiplier method.

Evaluate the Limits of

i) Let