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5) For the following situations, explain which concept, method, and/or formula from chapter 14 you would need to use to solve the problem, and why: a. I'm checking the size of an eagle's nest at the top of a tall tree for an ecological study. I want to know its volume, but due to its location, I must measure it from a distance and my measurements may be incorrect.

5) For the following situations, explain which concept, method, and/or formula from chapter 14 you would need to use to solve the problem, and why: a. I'm checking the size of an eagle's nest at the top of a tall tree for an ecological study. I want to know its volume, but due to its location, I must measure it from a distance and my measurements may be incorrect.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 39E
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The options are Partial derivatives, tangent planes, directional derivatives, Gradient vector, optimization

5) For the following situations, explain which concept, method, and/or formula from chapter 14 you would need to use to solve the problem, and why: a. I'm checking the size of an eagle's nest at the top of a tall tree for an ecological study. I want to know its volume, but due to its location, I must measure it from a distance and my measurements may be incorrect. b. I want to race a remote-controlled car up a mountain, but I know that the car is very sensitive to steep slopes, so I want to find the most gradual path possible so I can make it to the top without falling over. c. I'm engineering a type of ultrasound process that uses energy reflected off of multiple surfaces to combine at a single point. I need to position my surfaces correctly, so the beams hit the same point after reflection. d. I'm trying to make money in the stock market, and I've determined a revenue function based on some stocks that are related in specific ways. I want to make the most money possible, but there are constraints and ways the stocks are connected that I have to take into account.
Transcribed Image Text:5) For the following situations, explain which concept, method, and/or formula from chapter 14 you would need to use to solve the problem, and why: a. I'm checking the size of an eagle's nest at the top of a tall tree for an ecological study. I want to know its volume, but due to its location, I must measure it from a distance and my measurements may be incorrect. b. I want to race a remote-controlled car up a mountain, but I know that the car is very sensitive to steep slopes, so I want to find the most gradual path possible so I can make it to the top without falling over. c. I'm engineering a type of ultrasound process that uses energy reflected off of multiple surfaces to combine at a single point. I need to position my surfaces correctly, so the beams hit the same point after reflection. d. I'm trying to make money in the stock market, and I've determined a revenue function based on some stocks that are related in specific ways. I want to make the most money possible, but there are constraints and ways the stocks are connected that I have to take into account.
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