Where does the normal line to the paraboloid z = x^2 + y^2 at the point (2, 2, 8) intersect the paraboloid a second time? (x,y,z)= ?
Added by P P.
Step 1
The gradient of the paraboloid z = x^2 + y^2 is given by (∂z/∂x, ∂z/∂y) = (2x, 2y). At the point (2, 2, 8), the gradient is (4, 4). Show more…
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