Find a positive number for which the sum of its reciprocal and four times its square is the smallest possible.

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
Section: Chapter Questions
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Please help me qith this Optimizations
1. Find a positive number for which the sum of its reciprocal and four times its square
is the smallest possible.
A farmer wants to fence off a rectangular field that borders a straight river. She
needs no fencing along the river. If the field must contain 1800 square feet of area,
what are the dimensions of the field that uses the least fencing?
y
2.
Transcribed Image Text:1. Find a positive number for which the sum of its reciprocal and four times its square is the smallest possible. A farmer wants to fence off a rectangular field that borders a straight river. She needs no fencing along the river. If the field must contain 1800 square feet of area, what are the dimensions of the field that uses the least fencing? y 2.
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