Your friends correctly calculate the gradient vector for f(x, y)=x²+y at the point (2,-3) as follows: 1. V{(2, – 3) = (2x, 2y ) =(4,-6) (3,-4) They say that (4,-6) is orthogonal to the surface at the point where x 2 and y=-3 (at the point (2,-3, 13)). Unfortunately, they are incorrect, and you will help them. (a) For f(x, y)=x²+y, what is (4,-6) orthogonal to when x=2 and y=-3? (Drawing a picture may help)

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