Explain why 9 is a good tabular point;
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note (a)Explain why 9 is a good tabular point
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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?Find the 3rd degree Taylor polynomial for f (x) =lnx at the value for a=1Find the 4th degree Taylor polynomial centered at 1 for the function f(x)=(x2+3)1/2 Use the polynomial to estimate the value of the sqrt of 39
- Approximate f by a Taylor polynomial with degree n=3 at the number a=1 for the function.Use a Taylor polynomial of degree 4 to approximate the number √(1.1).Let f(x)=8x+2ln(x). Find a second degree Taylor polynomial about c=1 and use P2(x) to approximate 16+2ln(2) with determining a bound for the error of the approximation.