A model for the specific gravity of water S is where T is the water temperature in

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A model for the specific gravity of water S is


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where T is the water temperature in degrees Celsius.


(a) Use the second derivative to determine the concavity of S.


(b) Use a computer algebra system to find the coordinates of the maximum value of the function.


(c) Use a graphing utility to graph the function over the specified domain. (Use a setting in which 0.996 ≤ S ≤ 1.001.)


(d) Estimate the specific gravity of water when T = 20°.

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Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

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