Hello! I really need guidance and a detailed solution with every step explained for these practice problems. Thank you very much! Also, feel free to write it out by hand... the sooner the better! Thank you!

1.) Let f(m, y, z) = e\" + yzg. a) Find the direction at (0, 1, 2) in which f is decreasing the fastest. b) In which direction is it increasing at 50% of its maximal rate? Give your answer in terms of the angle made with the direction of fastest decrease found in a). 2.) Let f(:r, y) = 633312 2x3 33f. a) Find all critical points of f and classify them into local minima, local maxima, or saddle points. b) Does f have a global maximum? A global minimum? 3.) Consider the functions f : R2 ) R3 given by u, v) = (6\