Question: 2. Let f(:r, y, z) = (1(33 + l)2 + My 2)2 + czg, where a, b and c are constants. The greatest rate of

2. Let f(:r, y, z) = (1(33 + l)2 + My

2. Let f(:r, y, z) = (1(33 + l)2 + My 2)2 + czg, where a, b and c are constants. The greatest rate of change in f at the point (0, 3, 1) is in the direction 1 111 2 0 2j + 2k). Also, the rate of change of f at (0, 0, 1) in the direction 3 4 ... = _. k 112 5J+ 5 is 8. Find the values of a, b and c

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