The wave heights h in the open sea depend on the speed v of the wind and

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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.Duration (hours) 10 15 20 30 40 50 10 2 4 4 15 5 9. 9. 17 30 13 16 18 19 19 40 14 21 25 28 31 33 33 36 19 29 50 50 40 45

(a) What are the meanings of the partial derivatives ∂h/∂v
and ∂h/∂t?
(b) Estimate the values of fv(40, 15) and ft(40, 15). What are
the practical interpretations of these values?
(c) What appears to be the value of the following limit?

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