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Looks correct... except for a small calculation mistake.Use a linear approximation to find a good approximation to \(\displaystyle \sqrt{100.4}\)
\(\displaystyle x = 100.4\)
\(\displaystyle x1 = 100\)
\(\displaystyle y1 = 10\)
\(\displaystyle y - 10 = \frac{1}{20}(100.4 - 100) \)
\(\displaystyle y = 10.20 \)
its 104.04 but I don't understand where I went wrong. Why can't I say 1/20 = .05 and then say .05 * .4 = .20, then finally 10 + .20 = 10.20 ?Looks correct... except for a small calculation mistake.
Did you check what $10.20^2$ is?
That should immediately reveal the mistake.
As you can see your fraction is off by a factor of 10.its 104.04 but I don't understand where I went wrong. Why can't I say 1/20 = .05 and then say .05 * .4 = .20, then finally 10 + .20 = 10.20 ?
Let's see:10.02 is the correct answer then correct?