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Find the directions in the xy-plane in which the function f(x,y) = 7 - 3x2 - 4y2 has zero change at the point P( 2,2,

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Find the directions in the xy-plane in which the function f(x,y) = 7 - 3x2 - 4y2 has zero change at the point P( 2,2, - 21). Express the directions in terms of unit vectors. What is the unit vector in a direction of zero change with a positive x-component? (DI (Type exact answers, using radicals as needed.)

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