Question: (2) Let f : R3 > R be given by f(a:, y, z) = awry2 + byz + cz2933 and let P denote the point(1,

(2) Let f : R3 > R be given by f(a:, y, z) = awry2 + byz + cz2933 and let P denote the point(1, 2, 1). (a) The directional derivative at the point P attains its maximum value of 64 in the direction of the positive z-axis. Find the values a, b, and c. (b) In which direction(s) does the function f, obtained in part (a), have zero slopes at P

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