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Q77Section I (Objective (Q1–Q80))77 of 80

Numerical Analysis — linear interpolation of log10(1+x)

Let f(x)=log⁡10(1+x)f(x)=\log_{10}(1+x) with x0=1x_0=1 and x1=1.1x_1=1.1. What is the approximate value of f(1.04)f(1.04) obtained by using linear interpolation? [Given that log⁡102=0.301030\log_{10}2=0.301030 and log⁡102.1=0.322219\log_{10}2.1=0.322219]

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