A train is headed south at 1 mile/min towards the terminal while a cell tower stands three miles east of the terminal. The bottom window in the applet above shows the position of the train, terminal, and cell tower. The variable x is the distance from the train to the terminal. The variable z is the distance from the train to the cell tower. The top window in the applet shows the graphs of both x and z and functions of time. Move the point A along the time-axis to move the train along its track. Use the applet to compute the rate of change of z for each value of x given. dz 5, dt When x = %3D dz 4, dt When x = dz When x = 3, dt dz 2, dt When x = dz 1, dt When x = dz When x = 0, dt

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