GenLexybowlinaC GenLexybowlinaC

14-10-2016
Mathematics

Answered

Use a linear approximation (or differentials) to estimate the given number:

1/4.002

Verified Answer :

nobillionaireNobley nobillionaireNobley

18-10-2016

Given that 1/4 = 0.25

Set f(x) = 1/x
Then f'(x) = -1/x^2

Thus 1/4.002 = f(4.002) ≈ f(4) + f'(4) (4.002 - 4) = 1/4 - 1/4^2 0.002 = 0.25 - 0.000125 = 0.2499

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