1. Let f(x)=x-4x+6x³- - - 5a2+3 1. If you think carefully about your process, the answers to parts (b) and (c) should not be very difficult to determine once you have found the answer to part (a). dy (e) Find T3(x) for f(x) based at b= 1. You do not need to expand your answer. Note: This gives a method for writing a polynomial in powers of (x-1) instead of powers of x. It is sometimes useful if you are interested in the values of the polynomial near = 1. Another technique would be to substitute u = ru+1, multiply out the polynomial, collect together powers of u and then substitute back u=x-1. Using Taylor polynomials is a bit easier. 1 or
1. Let f(x)=x-4x+6x³- - - 5a2+3 1. If you think carefully about your process, the answers to parts (b) and (c) should not be very difficult to determine once you have found the answer to part (a). dy (e) Find T3(x) for f(x) based at b= 1. You do not need to expand your answer. Note: This gives a method for writing a polynomial in powers of (x-1) instead of powers of x. It is sometimes useful if you are interested in the values of the polynomial near = 1. Another technique would be to substitute u = ru+1, multiply out the polynomial, collect together powers of u and then substitute back u=x-1. Using Taylor polynomials is a bit easier. 1 or
ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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