Would you like this assignment to be marked?YESNOMA104 Lab Report 9 - Taylor and MacLaurin SeriesName:Student Number:Spring 20161. [8marks]Consider the functionf(x) = ln(1 + 2x).(a) Manually determineT2(x),the 2nddegree Taylor polynomial offata= 1.
(b) DefineT3(x) andT5(x) abouta= 1 in Maple.
(c) Use Taylor’s Inequality to find the maximum absolute value of the remainder termR2(x) when0.5≤x≤1.5 andT2(x) is used to approximatef(x). Express your answer to 6 decimal places.[Note: In Maple,f(n)(x)is thenthderivative off. Use themaximize(???,x=-0.5..1.5)to findM,replacing the question marks with the appropriate derivative.]