20. 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. Then estimate the wave heights when the wind has been blowing for 24 hours at 43 knots. Duration (hours) t 10 15 20 30 40 50 20 5 8 8 9 9 9 30 9 13 16 17 18 19 19 40 14 21 25 28 31 33 33 50 19 29 36 40 45 48 50 60 24 37 47 54 62 67 69 Wind speed (knots)

Given KLMN with coordinates K(- 5, - 1), 4(- 2, 4), N(3, 1) N(0, - 4).Find the lengths and slope of KM and LN

During each cycle, the velocity v (in meters per second) of a robotic welding device is given by 2 v = 9t " 49 + t² a function of t if s = s(t) = where t is time in seconds. Find the expression for the displacement s (in meters) as 0 when t = 0.

The amount of time it takes to drive somewhere is inversely proportional to the speed at which you drive. The time of a trip is 3 hours when you drive at 60 km/h. a) Determine the equation for the function t(v), which relating the time of the trip ("t", in hours) to the speed (v, in km/h). b) Find the time it would take to complete the above trip if you drove at 90 km/h. c) What speed should you drive at to complete the trip in 75 minutes? 2.