Let h(x, y, z) = ln(x² + y² + z²). (a) What is the direction of maximal increase of h at the (1,1,1)? (b) At the point (1,1,1), how far in the direction found in (a) do you need to go to obtain an increase of 0.1 in h? (c) At the point (1, 1, 1), how far in the direction of (1, 1, 2) do you need to go to obtain an increase of 0.2 in h?

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A:

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A: Follow the procedure given below.

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A: Topic:- Calculus

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