3. [0/2 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 3.7.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH The radius r of a sphere is increasing at a rate of 8 inches per minute. (3) Find the rate of change of the volume when r = 11 inches. C + in. 3/min X - (b) Find the rate of change of the volume when r = 36 inches. X in. $/min X Need Help? Read It Submit Answer O! 4. [-/1 Points] DETAILS LARCALCET7 3.7.017.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 14 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate (in ft/min) is the height of the pile changing when the pile is 12 feet high? (Hint: The formula for the volume of a cone is V = _.mr h.) ft/min Need Help? Read It Watch It Master ItA construction worker pulls a five-meter plank up the side of a building under construction by means of a rope tied to one end of the plank (see figure). Assume the opposite end of the plank follows a path perpendicular to the wall of the building and the worker pulls the rope at a rate of 0.24 meter per second. How fast is the end of the plank sliding along the ground when it is 2.0 meters from the wall of the building? (Round your answer to two decimal places.) * m/sec Need Help? Read It Watch It Submit Answer [-/2 Points] DETAILS LARCALCET7 3.7.025.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 75 miles from the point and has a speed of 150 miles per hour. The other is 100 miles from the point and has a speed of 200 miles per hour. (=) At what rate is the distance between the planes changing? mph (b) How much time does the controller have to get one of the airplanes on a different flight path? Need Help? Read It Watch it Master It Submit Answer [-/1 Points] DETAILS LARCALCET7 3.7.037. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The combined electrical resistance R of two resistors R, and Ry, connected in parallel, is given by the equation below, where R, Ry, and R, are measured in ohms. R, and R, are increasing at rates of 0.5 and 1.7 ohms per second, respectively. 1 - 1 1 RR, R2 At what rate is A changing when R, = 34 ohms and R, = 90 ohms? (Round your answer to three decimal places.) ohm/sec Need Help? Read It Watch it Submit Answer [0/1 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 3.7.039. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An airplane is flying in still air with an airspeed of 325 miles per hour. The plane is climbing at an angle of 230. Find the rate at which the plane is gaining altitude. (Round your answer to four decimal places.) 1 x mi/h Need Help? Read It Submit