Consider the function f(x, y)= p x 2+ y 21Consider the function f(x, y)= p x 2+ y 21Find the equation of the tangent line to the level curve f(x, y)=3 at the point P(2,2). Verify that the gradient of f at P is orthogonal to the tangent line at P (thus verifying that the gradient is orthogonal to the level curve at that point).