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10. [5 marks] Let f (z) = 252 122: + 11 on the interval [0,10]. Find the values a and I) such 11. In Assignment
10. [5 marks] Let f (z) = 252 122: + 11 on the interval [0,10]. Find the values a and I) such 11. In Assignment 3 you considered the swish and softplus functions, dierentiable approxi- that f (as) attains its minimum at z = a and its maximum at 1 = b mations to the rectifier function used in neural networks An approximation that improves on these functions is the mish function 210g(1+e') _ 1 11(1) =1 6'2log(1+2') + 1 ' (a) [2 marks] Find the intercepts of f (at) Answer: (b) [3 marks] What polynomial best approximates f (1;) for large negative values of 1:7 (o) [3 marks] What polynomial best approximates f (:17) for large positive values of :17? Answer: (cl) [3 marks] The degree 4 Taylor polynomial of x) at x = U is 3 8 2 2 3 86 4 537+ x _ Em _ 18753:\" What is f\"(0)
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