(ii) Find the (two) directions one could begin to move to continue to be level if one is standing on the surconfront at $(3,4,13)$.
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Could someone please offer me some pointers on just how to approach a question of this kind? Thanks in advance.
For component i)...
i) For the maximum price of readjust, attempt taking the gradient.
The gradient vector is $$.
The maximum rate of readjust will certainly happen in the direction of $ = $.
The maximum rate of readjust is then $sqrt 4^2 + (3/2)^2 = sqrt 73/2$
As for part ii)...
To uncover the (two) directions one might start to move to remain level if one is standing on the surconfront at $(3,4,13)$, we have to uncover the direction perpendicular to the gradient of $f$ at $(3, 4)$, and this would be $pm $.
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