An Ant Is Walking Along the Surface Which Is the Graph

question 10

Essay

An ant is walking along the surface which is the graph of the function $f ( x , y ) = x ^ { 2 } - \sin ( y )$ (a)When the ant is at the point (1, 0, 1), what direction should it move in order to be moving on the surface in the direction of greatest ascent?
(b)If the ant moves in this direction at a speed of 6 units per second, what is the rate of change of height of the ant?

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