Combustion product gases from a boiler flow along the x axis with a speed of V = 3x m/s and a pressure of p = 5x 2 N/m2 , where x is in meters. (a) Calculate the time rate of change of pressure at the fixed location x = 2 m. (b) Obtain the time rate of change of pressure for a fluid particle flowing past the point x = 2 m. (c) Explain without using any equations why the answers to parts (a) and (b) are different.

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?