Q36Comprehension3 Marks11 Dec 2022
Passage
Based on the above data, answer the given subquestions. Consider the function f(a, b) = a^4 + b^4 - t_{0}^{ab} (3t^2 + 15) dt.
Let v_1 = , v_2 = (0, sqrt(2)), v_3 = (sqrt(5), 0), 1_{4} = , 1_{5} = (-sqrt(5), 0). Answer the following questions with respect to these points. Write down the values of i in increasing order for which v_i, i = 1, 2, 3, 4, 5, is a saddle point according to the Hessian test. e.g. if v_1 and v_2 are saddle points, your answer should be 12. If there is no such i, enter 0 as your answer.
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