Question
Refer to Figure $26 .$Find the change in seawater density from $A$ to $B$.
Step 1
From the figure, we can see that point A is sitting along the 400 contour line. So, the seawater density at point A is 400. Show more…
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$ \rho(S, T)$ is seawater density (kilograms per cubic meter) as a function of salinity $S$ (parts per thousand) and temperature $T$ (degrees Celsius). Refer to the contour map in Figure $25 .$ Calculate the average rate of change of $\rho$ with respect to $S$ from $B$ to $C$.
Differentiation in Several Variables
Functions of Two or More Variables
$ \rho(S, T)$ is seawater density (kilograms per cubic meter) as a function of salinity $S$ (parts per thousand) and temperature $T$ (degrees Celsius). Refer to the contour map in Figure $25 .$ Calculate the average rate of change of $\rho$ with respect to $T$ from $B$ to $A$.
Estimate the change in the density of water in ocean at a depth of $400 \mathrm{~m}$ below the surface. The density of water at the surface $=1030 \mathrm{~kg} \mathrm{~m}^{-3}$ and the bulk modulus of water $=2 \times 10^{\circ} \mathrm{N} \mathrm{m}^{-2}$.
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