Estimate the value of Duf (30, 20), where u = (i + j)/√2 using the table provided. 2. The wave heights h in the open sea depend on the speed vof the wind and the length of time t that the wind has beenblowing at that speed. Values of the function h = f(v, t) arerecorded in feet in the following table.Wind speed (km/h)V2030406080t1005 10 150.61.25.8Duration (hours)200.6 0.6 0.61.5 1.51.31.5 2.22.8 4.04.3 6.42.44.9302.5400.60.61.5 1.67.7 8.6 9.5502.75.2 5.5 5.8 5.910.12.80.61.62.810.28.9 11.012.2 13.8 14.715.3120 7.4 11.3 14.4 16.6 19.0 20.5 21.1(a) What are the meanings of the partial derivatives əh/avand əh/at?(b) Estimate the values of f(40, 15) and fi(40, 15). What arethe practical interpretations of these values?

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2. The wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has been blowing at that speed. Values of the function h = f(v, t) are recorded in feet in the following table. Wind speed (km/h) V 20 30 40 1.3 1.5 2.2 2.4 4.9 4.3 6.4 7.7 8.6 5.8 8.9 11.0 12.2 13.8 120 7.4 11.3 14.4 16.6 19.0 60 80 Duration (hours) 5 10 15 20 100 0.6 1.2 1.5 30 0.6 0.6 0.6 0.6 1.5 2.8 4.0 1.5 2.5 2.7 5.2 5.5 40 0.6 1.6 2.8 50 20.5 0.6 2.8 5.8 5.9 9.5 10.1 10.2 14.7 15.3 1.6 21.1 (a) What are the meanings of the partial derivatives dh/av and əh/at? (b) Estimate the values of f(40, 15) and f(40, 15). What are the practical interpretations of these values?