Consider the function f(x, y) = x + y Find the quadratic approximation Q(x, y) of...

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Consider the function f(x, y) = x² + y² Find the quadratic approximation Q(x, y) of the function at (0,0). That is, the 2nd-degree Taylor Polynomial. (d) Use a 3D grapher like Maple to verify that the linear approximation is tangent to the surface z = f(x, y) at the given point and that the quadratic approximation is not only tangent to the surface at the given point, but also shares the same concavity as the surface at this point. Consider the function f(x, y) = x² + y² Find the quadratic approximation Q(x, y) of the function at (0,0). That is, the 2nd-degree Taylor Polynomial. (d) Use a 3D grapher like Maple to verify that the linear approximation is tangent to the surface z = f(x, y) at the given point and that the quadratic approximation is not only tangent to the surface at the given point, but also shares the same concavity as the surface at this point.