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Algebra
Question

Use linear approximation, i.e. the tangent line, t...

Use linear approximation, i.e. the tangent line, to approximate \( \sqrt { 16.4 } \) as follows: 

Let \( f ( x ) = \sqrt { x } \) . Find the equation of the tangent line to \( f ( x ) \) at \( x = 16\) 

\(L ( x ) = \square\)

Using this, we find our approximation for \( \sqrt { 16.4 } \) is 

NOTE: For this part, give your answer to at least \( 9 \) significant figures or use an expression to give the exact answer. 

Answer

 

Solution
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