Refer to Table 1 (a) Using difference quotients, approximate T and S at the points (S, T) (30, 2), (32, 6), and (35, 10) (b) For fixed salinity S 32, determine whether the quotients T are increasing or decreasing as T increases What can you conclude about the sign of 2 T 2 and the concavity of as a...

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Refer to Table 1. (a) Using difference quotients, approximate /T and /S at the points (S, T)

Question:

Refer to Table 1.

TABLE 1 Seawater Density p as a Function of Temperature T and Salinity S 31 32 23.51 24.27 T S 12 10 8 6 4 2 (a) Using difference quotients, approximate ∂ρ/∂T and ∂ρ/∂S at the points (S, T) = (30, 2), (32, 6), and (35, 10).
(b) For fixed salinity S = 32, determine whether the quotients Δρ/ΔT are increasing or decreasing as T increases. What can you conclude about the sign of ∂²ρ/∂T² and the concavity of ρ as a function of T?