Finding the third order Taylor polynominal (*) for the function f(x) = xe² about x₁ = 0. a. Find an upper bound for f(x)-(z) , for 0 ≤x≤ 0.4. 0.4 b. Approximate fo4 f(x) dx using fo4 P(x) dx. C. Find an upper bound for the error in (b) using 0.4 ·P₂(2). dx.

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A: Note: As company policy, we solve only first three sub-parts. Please resubmit the remaining…

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Q: Q1) Find the second Taylor polynomial P₂(x) for the function f(x) = ex cos x about xo = 0.

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