Question: 4. (6 points) Given function f(x) = 2 - 212. (a) Obtain the linear approximation of f about point r = 2. Use the linear

4. (6 points) Given function f(x) = 2 - 212. (a) Obtain the linear approximation of f about point r = 2. Use the linear approximation to compute f (3). (b) Obtain the second-order approximation of f about point r = 2. Use the second-order approx- imation to compute f (3). 5. Consider function f(x) = 23 + 3x2 - 2. (a) (2 points) Obtain critical points. (b) (3 points) Determine whether critical points are local extreme (minimum, maximum) points. Hint: Either the first-order or the second-order derivative test can be used

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