Question: Find the fourth Taylor polynomial P4(x) for the function f(x)=xex2 about x0=0.a. Find an upper bound for |f(x)-P4(x)|, for 0x0.4.b. Approximate 00.4f(x)dx using 00.4P4(x)dx.c. Find

Find the fourth Taylor polynomial P4(x) for the function f(x)=xex2 about x0=0.a. Find an upper bound for |f(x)-P4(x)|, for 0x0.4.b. Approximate 00.4f(x)dx using 00.4P4(x)dx.c. Find an upper bound for the error in(b) using 00.4P4(x)dx.d. Approximate f'(0.2) using P4'(0.2), and find the error.

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