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5.755, T3 108 8.521 6.540, T + 0.99987, 0 < T < 25 105 S = T² + 106

- August 24, 2022 - Edwin Tunner

A model for the specific gravity of water S is given, 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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