The unequally spaced data given in Table 2 were generated from f(x)=3xcos(x) Table 2 x 0.1...

The unequally spaced data given in Table 2 were generated from f(x)=3xcos(x)

Table 2

x	0.1	0.2	0.3	0.4	.0.55	0.75	0.95
f(x)	0.2985	0.588	0.8598	1.1052	1.4067	1.6464	1.6578

a) Calculate f^''(0.1), f^''(0.95) and f^'' (0.3) by using the appropriate divided difference
(forward, backward and central) equations which will give the most accurate result.
Compute the true percent relative error for each case.

b) Evaluate the integral from a=0.1 to b=0.95 using a combination of the trapezoidal and
Simpson’s rules; employ Simpson’s rule wherever possible to obtain the highest
accuracy. Compute the true percent relative error.

Expert Solution

ANSWER:

Colby Messinger answered 1 year ago

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The unequally spaced data given in Table 2 were generated from f(x)=3xcos(x) Table 2 x 0.1...

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