SOLUTION: the sum of two positive number is 10. find the larger number if the product of the square of one by the cube of the other is maximum

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Question 955282: the sum of two positive number is 10. find the larger number if the product of the square of one by the cube of the other is maximum
Answer by josmiceli(19441) About Me  (Show Source):
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+x+%2B+y+=+10+
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+9%5E3%2A1%5E2+=+729%2A1+
+729%2A1+=+729+
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+8%5E3%2A2%5E2+=+512%2A4+
+512%2A4+=+2048+
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+7%5E3%2A3%5E2+=+343%2A9+
+343%2A9+=+3087+
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+6%5E3%2A4%5E2+=+216%2A16+
+216%2A16+=+3456+ ( this is the maximum )
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+5%5E3%2A5%5E2+=+3125+
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The numbers are 6 and 4