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 beenblowing at that speed. Values of the function h = f(v, t) are recorded in feet in the following table.Windspeed(knots)f(v, t) ~V20ft30405060tDuration (hours)55910 15 20713 16 1730 4018 1914 21 25 28 315091933 3319 29 36 40 45 48 50Use 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.)24 37 47 54 62 67 69Estimate the wave heights (in ft) when the wind has been blowing for 22 hours at 42 knots. (Round your answer to twodecimal places.)

We are given a table . Using this table we have to approximate the function F(v,t).

Answered: he wave heights h in the open sea…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 78RE

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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 table below. Wave height as a function of wind speed and duration Duration (hours) Wind speed (knots) V 10 15 20 30 40 50 60 t 5 2 4 5 10 15 20 30 40 50 9 247 2 2 24 37 500 8 5 8 2 47 54 5 9 2 2 13 16 17 18 14 21 25 28 31 33 33 19 29 36 40 45 48 50 (a) What is the value of f(30, 15)? What is its meaning? According to the table, f(30, 15) = feet. 5 5 9 9 19 19 62 67 69 which means that if a 30 knot wind has been blowing in the open sea for 15 hours, it will create waves with estimated heights of (b) What is the meaning of the function of h = f(15, t)? Describe the behavior of this function. Owe fix v and t, resulting in a constant value. We fix v = 15 and allow t to vary, resulting in an equation of one variable. We fix t = 15 and allow v to vary, resulting in an equation of one…
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