The sum of two positive real numbers x and y is 3. Find an x and y among these such that the product xy² is maxima X =

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
Section4.6: Multiplying Polynomials
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**Problem Statement:**
The sum of two positive real numbers \( x \) and \( y \) is 3. Find an \( x \) and \( y \) among these such that the product \( xy^2 \) is maximized.

**Solution:**
\[ x = \; \boxed{\rule{5cm}{1pt}} \]

\[ y = \; \boxed{\rule{5cm}{1pt}} \]
Transcribed Image Text:**Problem Statement:** The sum of two positive real numbers \( x \) and \( y \) is 3. Find an \( x \) and \( y \) among these such that the product \( xy^2 \) is maximized. **Solution:** \[ x = \; \boxed{\rule{5cm}{1pt}} \] \[ y = \; \boxed{\rule{5cm}{1pt}} \]
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