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Calculate the difference quotients for H(x)=2lnx+5H(x)=2lnx+5 using h=0.1h=0.1, 0.010.01, and 0.0010.001. Use the results to approximate the slope of the tangent line to the graph
Calculate the difference quotients for H(x)=2lnx+5H(x)=2lnx+5 using h=0.1h=0.1, 0.010.01, and 0.0010.001. Use the results to approximate the slope of the tangent line to the graph of H(x)H(x) at the point (e,7)(e,7).If necessary, round the difference quotients to no less than six decimal places and round your final answer to two decimal places.
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