Analysis, Thanks!

Exercise 5 (10 points). Let f : [0,5] +R be given by f(x) = 3x2 + 5. = • Calculate T3,1, the 3-rd order Taylor polynomial of f at 1. • Find an explicit real number M > 0 (write down a real number for M like M = 2022) such that for each x in the domain of f, we have |f (x) - T3,ço (x) < M X – 2014. Comment: there is no need to find the "best" possible M, any valid one will do.

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Analysis, Thanks! Exercise 5 (10 points). Let f : [0,5] +R be given by f(x) = 3x2 + 5.
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• Calculate T3,1, the 3-rd order Taylor polynomial of

Exercise 5 (10 points). Let f : [0,5] +R be given by f(x) = 3x2 + 5. = • Calculate T3,1, the 3-rd order Taylor polynomial of f at 1. • Find an explicit real number M > 0 (write down a real number for M like M = 2022) such that for each x in the domain of f, we have |f (x) - T3,ço (x) < M X – 2014. Comment: there is no need to find the "best" possible M, any valid one will do.

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