Question: Show that the surface z = x2 y and y = 1/4 x2 + 3/4 intersect at (1, 1, 1) and have perpendicular tangent planes

Show that the surface z = x2 y and y = 1/4 x2 + 3/4 intersect at (1, 1, 1) and have perpendicular tangent planes there.

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