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A Table of Values for Functions F and G near X

question 128

Short Answer

A table of values for functions F and G near x = 3 is given below.If H(x)= F(x)/G(x), estimate H'(3)by using the quotient rule and then using right-hand estimates for FF ^ { \prime } and GG ^ { \prime } .Round to 2 decimal places.
x2.93.03.1F(x)7.788.3G(x)2.221.8\begin{array} { c c c c } x & 2.9 & 3.0 & 3.1 \\F ( x ) & 7.7 & 8 & 8.3 \\G ( x ) & 2.2 & 2 & 1.8\end{array}


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