Solve the following questions

Use a calculator to determine the x-value that generates the maximum volume. What is D) the maximum volume for a box created with these restrictions? 120 One spring day, a series of storms hit the coast, ending with hurricane-speed winds. 100 Over a 7-hour period, the wind speed (w. in miles per hour) recorded in a coastal town 80 could be modeled using the function 60 w(x) =0.8x -8.8x +29.6x2 -36x+49.4, Wind Speed (mph) where x represents time in hours past noon. 40 A) Sketch the graph of the function on a 20 domain of [0,7]. 0 2 3 5 6 B) Around what time did the wind speeds Time (hours) first reach 80 mph? C) On the given domain, the function has two relative minima (or, low points). Find the coordinates for each. Interpret their meaning in the context of the problem. D) Although it is outside of the given domain, evaluate the function at x = 9. Do you think w(9) is an over-estimate or an under-estimate of the actual wind speed? Explain