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alexdok [17]
2 years ago
7

Help help help help help help help help help help help help

Mathematics
2 answers:
kotykmax [81]2 years ago
7 0

Answer: 25

Step-by-step explanation:

lord [1]2 years ago
6 0

Answer:

25

Step-by-step explanation:

follow me for more

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Set up and evaluate the optimization problems. (Enter your answers as comma-separated lists.) Find two positive integers such th
alexira [117]

Answer and Step-by-step explanation:

Let x and y be two positive integers and their sum is 14:

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And the sum of square of this number is:

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Differentiate with respect to x, we get:

F’(x) = [ x2 + (14 – x)2]’ = 0

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     2x – 28 +2x = 0

        2x + 2x = 28

         4x = 28

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Hence, y = 14 – x = 14 -7 = 7

Now taking second derivative test:

F”(x) > 0

For x = y = 7,f reaches its maximum value:

(7)2 + (7)2 = 49 + 49

                   = 98

F at endpoints x Є [ 0, 14]

F(0) = 02 + (14 – 0)2

       =  196

F(14) = (14)2 + (14 – 14)2

  = 196

Hence the sum of squares of these numbers is minimum when x = y = 7

And maximum when numbers are 0 and 14.

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