Explanation The products of a , b and their difference is a b ( a − b ) since a + b = 8 , b = 8 − a and a - b = 2 a − 8 thus let f ( a ) = a ( 8 − a ) ( 2 a − 8 ) = − 2 a 3 + 24 a 2 − 64 a Where a ∈ [ 0 , 8 ] setting f ' ( a ) = − 6 a 2 + 48 a − 64 = 0 a = 4 ± 4 3 3 f ( 0 )

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ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.6, Problem 26E

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Among all positive number a,b whose sum is 8 find the products of the two numbers and their difference is largest

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Chapter 4.6, Problem 25E

Chapter 4.6, Problem 27E

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Chapter 4 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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Among all positive number a , b whose sum is 8 find the products of the two numbers and their difference is largest

Solution Summary: The author explains that the numbers a,b and their difference are ab(a-b).

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Among all positive number a,b whose sum is 8 find the products of the two numbers and their difference is largest

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