(a) Let f: R¹ → R, f(x, y, z, w) = +2y² +8z²+3w³ + xy + z-w. i. Calculate the Hessian Matrix for f. Show all your working. ii. Use your solution above to determine the extrema of f. Show all your working. (b) For which real values of does each of the following series converge? Justify your answer.

Q: {n³ sin ( 1 )} 3 n3 [Select] [Select]

A: Convergence of the series

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