# Pt for each of the graphs below use the level curves

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f x ( P ) is ? f y ( P ) is ? f xx ( P ) is ? f yy ( P ) is ? f xy ( P ) is ? f x ( P ) is ? f y ( P ) is ? f xx ( P ) is ? f yy ( P ) is ? f xy ( P ) is ? Correct Answers: zero positive zero positive zero negative zero positive zero zero
of the function z = f ( x , y ) to decide the sign (positive, negative, or zero) of each of the partial derivatives at the point P . Assume the x - and y -axes are in the usual positions. negative negative positive 1
4. (1 pt) For each of the graphs below, use the level curves 5. (1 pt) Use the level curves of the function z = f ( x , y ) to decide the sign (positive, negative, or zero) of each of the partial derivatives at the point P . Assume the x - and y -axes are in the usual positions. f x ( P ) is ? f y ( P ) is ? f xx ( P ) is ? f yy ( P ) is ? f xy ( P ) is ?
6. (1 pt) Use the level curves of the function z = f ( x , y ) to decide the sign (positive, negative, or zero) of each of the partial derivatives at the point P . Assume the x - and y -axes are in the usual positions. f x ( P ) is ? f y ( P ) is ? f xx ( P ) is ? f yy ( P ) is ? f xy ( P ) is ? Correct Answers: