Two numbers greater than zero add up to 6. Find the numbers so that the product of the first number and the square of the second number is maximum.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
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wwwSolve the following optimization problems:
Two numbers greater than zero add up to 6. Find the numbers so that the product of
the first number and the square of the second number is maximum.
1.
ii.
A horse corral is rectangular, with fencing around the perimeter. Also, there is a
straight internal fence, parallel to the sides. The internal fence splits the corral into 2
equal areas. The total area of the corral is 9600 square metres. The owner wishes to
minimize the amount of fencing required. What are the optimum dimensions of the
corral?
Transcribed Image Text:wwwSolve the following optimization problems: Two numbers greater than zero add up to 6. Find the numbers so that the product of the first number and the square of the second number is maximum. 1. ii. A horse corral is rectangular, with fencing around the perimeter. Also, there is a straight internal fence, parallel to the sides. The internal fence splits the corral into 2 equal areas. The total area of the corral is 9600 square metres. The owner wishes to minimize the amount of fencing required. What are the optimum dimensions of the corral?
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