One airplane is approaching an airport from the north at 151 km/hr. A second airplane approaches...
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One airplane is approaching an airport from the north at 151 km/hr. A second airplane approaches from the east at 203 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 26 km away from the airport and the westbound plane is 15 km from the airport. The radius of a right circular cylinder is increasing at the rate of 10 in./sec, while the height is decreasing at the rate of 5 in./sec. At what rate is the volume of the cylinder changing when the radius is 6 in. and the height is 12 in.? The volume of a sphere is increasing at a rate of 2 cm3/sec. Find the rate of change of its surface 2567 area when its volume is cm3. (Do not round your answer.) 3 A man 6 ft tall walks at a rate of 6 ft/sec away from a lamppost that is 18 ft high. At what rate is the length of his shadow changing when he is 30 ft away from the lamppost? (Do not round your answer) One airplane is approaching an airport from the north at 151 km/hr. A second airplane approaches from the east at 203 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 26 km away from the airport and the westbound plane is 15 km from the airport. The radius of a right circular cylinder is increasing at the rate of 10 in./sec, while the height is decreasing at the rate of 5 in./sec. At what rate is the volume of the cylinder changing when the radius is 6 in. and the height is 12 in.? The volume of a sphere is increasing at a rate of 2 cm3/sec. Find the rate of change of its surface 2567 area when its volume is cm3. (Do not round your answer.) 3 A man 6 ft tall walks at a rate of 6 ft/sec away from a lamppost that is 18 ft high. At what rate is the length of his shadow changing when he is 30 ft away from the lamppost? (Do not round your answer)
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1To solve this related rates problem we can use the concept of the Pythagorean theorem to relate the distances and rates of change of the two airplanes Lets denote the distance between the airplanes a... View the full answer
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