Matlab Il.pdf x Taylar and Power Series Mathway Math Problen x CFind The Nth Tey
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Matlab Il.pdf x Taylar and Power Series Mathway Math Problen x CFind The Nth Teylor Paly ? Secure | https://www.webassign.net/web/Student/Assignment-Responses/submit?dep:18504892 : Apps O Sinfonia n-40 de Mo. no place like home, D 3f1988832ee4608f G quotes intense persc G quotes tense perso D read Halo Halo #1 Common derivatives A How to Address the 11. 215 points I Previous Answers LarCalcET6 9.7.065 My Notes (a) Compare the Maclaurin polynomials of degree 2 for f(x)-e and degree 3 for g(x)-xe*. What is the relationship between them (b) Use the result in part (a) and the Maclaurin polynomial of degree 3 for f(x) sin(x) to find a Maclaurin polynomial of degree 4 for the function g(x)-x sin(x) P3(x) Q4(x) = (c) Use the result in part (a) and the Maclaurin polynomial of degree 3 for f(x)-sin(x) to find a Maclaurin polynomial of degree 2 for the function g(x) = (sin(x))/x Q2(x)- Need Help?Read It Talk to a Tutor 12. . 1/1 DO?nts Previous Answers LarCalcET69 10:52 PM O Type here to search 4/18/2018Explanation / Answer
(a) Given that, f(x)=ex and g(x)=xf(x).
Now, Pn(x) and Qn(x) are defined as the Maclaurin polynomials of f(x) and g(x) of degree n.
Now, P2(x)=1+x+x2/2 and Q3(x)=x+x2+x3/2=x(1+x+x2/2)=xP2(x).
Hence, the relationship between the polynomials is, Q3(x)=xP2(x).
(b) If f(x)=sin(x), then P3(x)=x+x3/6.
It is also given that g(x)=xsin(x)
Using the result of part (a), we get Q4(x)=xP3(x)
Therefore, Q4(x)=x(x+x3/6)=x2+x4/6.
(c) If f(x)=sin(x), then P3(x)=x+x3/6.
It is also given that g(x)=(sin(x))/x
Using the result of part (a), we get Q2(x)=(P3(x))/x
Therefore, Q2(x)=(x+x3/6)/x=x+x2/6.