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given-the-following-data-points-x-i-1-0-8-0-6-0-4-0-2-0-0-2-0-4-0-6-0-8-1-f-i-14-7781-9-pa175
(Solved): Given the following data points x_(i)=[-1,-0.8,-0.6,-0.4,-0.2,0,0.2,0.4,0.6,0.8,1] f_(i)=[14.7781,9. ...
Given the following data points
x_(i)=[-1,-0.8,-0.6,-0.4,-0.2,0,0.2,0.4,0.6,0.8,1]
f_(i)=[14.7781,9.9061,6.6402,4.4511,2.9836,2.0,1.3406,0.8987,0.6024,0.4038,0.2707]Find the derivative
f^(')(0.4)using the following methods: a)
1^(st )order forward difference. b)
2^(nd )order forward difference. c)
1^(st )order backward difference. d)
2^(nd )order backward difference. e)
2^(nd )order central difference. f)
4^(th )order central difference. Find
\int_(-1)^1 f(x)dxusing the following methods: a) Trapezoidal Rule b) Simpson's
(1)/(3)Rule. c) Simpson's
(3)/(8)Rule (from
x=-1to
x=0.8) and Trapezoidal Rule (
x=0.8 to
x=1) "Note: Show your detailed work."
