What is #5.8 -: 1.2#?

Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
1 Answer
Mar 14, 2018

#29/6 ~~ 4.83333#

Explanation:

*I multiplied the two numbers by 10 to make it easier to do long division. You still end up getting the same result. I stopped after 5 decimals because it was obvious that the 3 kept repeating infinitely. *
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