Question 6. A Picture's Worth a Thousand Words (10 pts) For each of the problems below, show your work and remember to include your units. (a) A plane flying horizontally at an altitude of 1 mile and a speed of 500 miles per hour passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (b) A cylindrical tank with a radius of 5 meters is being filled with water at a rate of 3 cubed meters per minute. How fast is the height of the water increasing? Recall that the volume of a cylindrical tank is given by the equation V = Ira-"2.5