The data in Exercise 5 were taken from the following functions Compute the actual errors in Exercise 5, and find error bounds using the error formulas a f (x) e2x b f (x) x ln x c f (x) x cos x x2 sin x d f (x) 2(ln x)2 3 sin x In Exercise 5 a b c d f(xf(x) 11 9 025013 1 2 02318 1 3 13 46374 1 4 16 44465 f(x)f(r) 8 1 16 94410 8 3 17 56492 8 5 18 19056 8 7 18 82091 fx) fx) 2 9 4 827866 3 0 4 240058 3 1 3 496909 3 22 596792 x f(x) f'(x) 2 0 3 6887983 2 1 3 6905701 2 2 3 6688192 2 3 3 6245909

Question: The data in Exercise 5 were taken from the following functions. Compute the actual errors in Exercise 5, and find error bounds using the error

The data in Exercise 5 were taken from the following functions. Compute the actual errors in Exercise 5, and find error bounds using the error formulas.
a. f (x) = e2x
b. f (x) = x ln x
c. f (x) = x cos x ˆ’ x2 sin x
d. f (x) = 2(ln x)2 + 3 sin x
In Exercise 5
a.

f(xf(x) 11 9.025013 1.2 02318 1.3 13.46374 1.4 16.44465 f(x)f(r) 8.1 16.94410 8.3 17.56492 8.5 18.19056 8.7 18.82091 fx) fx) 2.9 |-4.827866 3.0 |-4.240058 3.1 -3.496909 3.22.596792 x f(x) f'(x) 2.0 3.6887983 2.1 3.6905701 2.2 3.6688192 2.3 3.6245909

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