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13 Nov 2019
Related Rates Consider the following related rates questions, and follow the indicated steps to solve the problems: Problem 1. A balloon is rising vertically above a level, straight road at a constant rate of 1 ft/sec. Just when the balloon is 50 ft above the ground, a bicycle moving at a constant rate of 17 ft/sec passes under it. How fast is the distance between the bicycle and the balloon increasing 3 seconds later? A) Draw four pictures of the situation: one at the moment whent the bicycle passes under the that represents the situatioan 1 second later, one that is 2 seconds later, and one that is 3 seconds later Label the second picture with variables that represent different quantities. balloon, one B) What is the quantity you are trying to determine? Be specific C) Write an equation relating some of the variables in part A, and then use this equation and implicit differentiation to relate the rate from part B to other quantities. D) Evaluate the variables and derivatives in this equation using their values at this particular instant in time (that is, 3 seconds after the bicycle passes underneath the balloon).
Related Rates Consider the following related rates questions, and follow the indicated steps to solve the problems: Problem 1. A balloon is rising vertically above a level, straight road at a constant rate of 1 ft/sec. Just when the balloon is 50 ft above the ground, a bicycle moving at a constant rate of 17 ft/sec passes under it. How fast is the distance between the bicycle and the balloon increasing 3 seconds later? A) Draw four pictures of the situation: one at the moment whent the bicycle passes under the that represents the situatioan 1 second later, one that is 2 seconds later, and one that is 3 seconds later Label the second picture with variables that represent different quantities. balloon, one B) What is the quantity you are trying to determine? Be specific C) Write an equation relating some of the variables in part A, and then use this equation and implicit differentiation to relate the rate from part B to other quantities. D) Evaluate the variables and derivatives in this equation using their values at this particular instant in time (that is, 3 seconds after the bicycle passes underneath the balloon).
Beverley SmithLv2
2 Apr 2019