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UCB - MCD4500 Engineering Mathematics - Trimester 2 - 2025

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Find the gradient vector of the function  at the point (2, 2).

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If what is/are the local maximum value/values of  f. Only write the number/numbers separating by "," . If there is no maximum value answer "no"

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Find the tangent palne to the surface at in form

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If what is/are the local minimum value/values of Only write the number/numbers separating by "," if there is no minimum value answer "no"

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If what is/are the value/values of   at the saddle point. Only write the number/numbers separating by "," if there is no saddle point answer "no"

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  is the rate of changes of f.

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If

Stae the first stationary point in format. After calculating all stationary points arrange them in ascending order(lowest first) according to the x coordinate. Then write only the first point with brackets (without any white space).

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