1. An indigenous farmer has a 400 feet of fencing and wishes to fence three sides of a rectangular land (the fourth side is along a river, and need no additional fencing). Find the dimensions of the rectangular land of largest area that can be fenced. 2. Find two positive numbers whose product is 10 and whose sum is a minimum. 3. An open right cylindrical tank is to have a capacity of 1500 cubic centimeters. Find the dimension of the tank that will require the least amount of material in making it
1. An indigenous farmer has a 400 feet of fencing and wishes to fence three sides of a rectangular land (the fourth side is along a river, and need no additional fencing). Find the dimensions of the rectangular land of largest area that can be fenced. 2. Find two positive numbers whose product is 10 and whose sum is a minimum. 3. An open right cylindrical tank is to have a capacity of 1500 cubic centimeters. Find the dimension of the tank that will require the least amount of material in making it
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. An indigenous farmer has a 400 feet of fencing and wishes to fence three sides of a rectangular land (the fourth side is along a river, and need no additional fencing). Find the dimensions of the rectangular land of largest area that can be fenced.
2. Find two positive numbers whose product is 10 and whose sum is a minimum.
3. An open right cylindrical tank is to have a capacity of 1500 cubic centimeters. Find the dimension of the tank that will require the least amount of material in making it
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