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The sum of two positive numbers is 30. One of the numbers is multiplied by the square of the other. If each number is greater

The sum of two positive numbers is 30. One of the numbers is multiplied by the square of the other. If each number is greater than 0, find the numbers that make this product a maximum.

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4. The sum of two positive numbers is 30. One of the numbers is multiplied by the square of the other. If each number is greater than 0, find the numbers that make this product a maximum. 5. A wooden block is made as shown in the diagram. The ends are right-angled triangles having sides 3x, 4x and 5x. The length of the block is y. The total surface area of the block is 7,200 cm2. y

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