Question: Consider the function f (x, y)= sin(x y2).(a)(5 points) Find the second order Taylor polynomial if you expand around the origin. (b)(5 points) Use the

Consider the function f (x, y)= sin(x y2).(a)(5 points) Find the second order Taylor polynomial if you expand around the origin. (b)(5 points) Use the discriminant (via the Hessian) of the quadratic part to determine what type of quadric surface best approximates the function near (0,0).(c)(5 points) Estimate the value of the function at (0.02,0.01)

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