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1. The sum of two numbers is 21. If the product of one of the numbers by the square of the other is to be a maximum, what are the numbers?

1. The sum of two numbers is 21. If the product of one of the numbers by the square of the other is to be a maximum, what are the numbers?

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter21: Direct And Inverse Proportions
Section: Chapter Questions
Problem 15A: Of two gears that mesh, the one that has the greater number of teeth is called the gear, and the one...
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1. The sum of two numbers is 21. If the product of one of the numbers by the square of the other is to be a maximum, what are the numbers? 2. A ladder 20 ft. long leans against a house. When it is 16 ft. from the house, find the rate at which; a) the top of the ladder is moving away at a rate of 2 ft/sec. b) the slope of the ladder decreases. 3. A ship moving 8 mph sails north for 30 minutes then turns east. If a searchlight at the point of departure follows the ship, how fast is the light rotating 2 hours after the start?
Transcribed Image Text:1. The sum of two numbers is 21. If the product of one of the numbers by the square of the other is to be a maximum, what are the numbers? 2. A ladder 20 ft. long leans against a house. When it is 16 ft. from the house, find the rate at which; a) the top of the ladder is moving away at a rate of 2 ft/sec. b) the slope of the ladder decreases. 3. A ship moving 8 mph sails north for 30 minutes then turns east. If a searchlight at the point of departure follows the ship, how fast is the light rotating 2 hours after the start?
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