a) Calculate the first order taylor polynomial T1(x) about x =8, and use it to approximate (8.6)^1/3.   b) Calculate the third order Taylor polynomial T3(x) about x =8, and use it to approximate (8.6)^1/3.  (c) Which of the two approximations are the most accurate?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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a) Calculate the first order taylor polynomial T1(x) about x =8, and use it to approximate (8.6)^1/3.  

b) Calculate the third order Taylor polynomial T3(x) about x =8, and use it to approximate (8.6)^1/3. 

(c) Which of the two approximations are the most accurate? 

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