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The level curves of the surface z= x +y are circles in the xy-plane centered at the origin. Without computing the gradient, what is the

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The level curves of the surface z= x" +y" are circles in the xy-plane centered at the origin. Without computing the gradient, what is the direction of the gradient at (1,4) and (-4, -5) (determined up to a scalar multiple)? Determine the direction of the gradient at (1,4). Choose the correct answer below. O A. (1,4) OB. (4, - 1) O C. (-1,4 ) O D. (1, -4) O E. (4,1) OF. ( -4,1 )

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