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Consider the Following Table of Data for the Function F x5.05.15.25.35.4f(x)9.28.88.37.77.0\begin{array} { c c c c c c } x & 5.0 & 5.1 & 5.2 & 5.3 & 5.4 \\f ( x ) & 9.2 & 8.8 & 8.3 & 7.7 & 7.0\end{array}

question 124

Short Answer

Consider the following table of data for the function f.
x5.05.15.25.35.4f(x)9.28.88.37.77.0\begin{array} { c c c c c c } x & 5.0 & 5.1 & 5.2 & 5.3 & 5.4 \\f ( x ) & 9.2 & 8.8 & 8.3 & 7.7 & 7.0\end{array} Suppose g is a function such that g(5.1)= 9 and g'(5.1)= 3.Find h'(5.1)where h(x)= f(x)g(x).Use the right-hand estimate for f(5.1)f ^ { \prime } ( 5.1 ) .Round to 2 decimal places.


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