Refer to Table 1. (a) Estimate /T and /S at the points (S, T ) = (34, 2) and (35, 10) by
Chapter 14, Problem 56(choose chapter or problem)
Refer to Table 1. (a) Estimate /T and /S at the points (S, T ) = (34, 2) and (35, 10) by computing the average of left-hand and right-hand difference quotients. (b) For fixed salinity S = 33, is concave up or concave down as a function of T ? Hint: Determine whether the quotients /T are increasing or decreasing. What can you conclude about the sign of 2/T 2? TABLE 1 Seawater Density as a Function of Temperature T and Salinity S T S 30 31 32 33 34 35 36 12 22.75 23.51 24.27 25.07 25.82 26.6 27.36 10 23.07 23.85 24.62 25.42 26.17 26.99 27.73 8 23.36 24.15 24.93 25.73 26.5 27.28 29.09 6 23.62 24.44 25.22 26 26.77 27.55 28.35 4 23.85 24.62 25.42 26.23 27 27.8 28.61 2 24 24.78 25.61 26.38 27.18 28.01 28.78 0 24.11 24.92 25.72 26.5 27.34 28.12 28.91
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