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

Question

find

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. Use the table to find a linear approximation to the wave height function when v is near 40 knots and t is near 20 hours. (Round your numerical coefficients to two decimal places.) f(v, t) Estimate the wave heights when the wind has been blowing for 21 hours at 41 knots. (Round your answer to two decimal places.) ft

Explanation / Answer

f(40,20) = 28.00 ft from the table

f(41,21) = 28.00 + del f(v) + del f(t)

= 28.00 + 1*5/10 + 1*3/10

= 28 + 0.50 +0.30

= 28.80 ft

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