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Use linear approximation, i.e. the tangent line, to approximate √36.1 as follows: Let f(x)=√x. The equation of the tangent line to f(x) at x=36 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for −−−−√36.1 is NOTE: For this part, give your answer to at least 9 significant figures or use fractions to give the exact answer.

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Use linear approximation, i.e. the tangent line, to approximate √36.1 as

follows:

Let f(x)=√x. The equation of the tangent line to f(x) at x=36 can be written in the form y=mx+b where m is:

and where b is: 

Using this, we find our approximation for −−−−√36.1 is 

NOTE: For this part, give your answer to at least 9 significant figures or use fractions to give the exact answer. 

 
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