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anonymous

  • one year ago

Medal Here!!! Think of a number less than 20. Subtract this number from 20 and multiply the difference by twice the original number. What is the number that will give the largest product? Good Luck.

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  1. Rushwr
    • one year ago
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    19?

  2. anonymous
    • one year ago
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    What's next?? Explain please. Thanks.

  3. prizzyjade
    • one year ago
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    this is a maxima problem \[2x(20-x)\] \[40x-2x^2\] use first derivative test to find the critical values that will give a candidate for the value of x \[f \prime= 40-4x\] \[-4x=-40\] \[x=\frac{ -40 }{ -4}\] x=10 use 2nd derivative test to determine if it maximizes or minimizes the value of f(x) \[f \prime \prime= -4\] \[f \prime \prime (10) = -4 < 0\] therefore x=10 maximizes the value of f(x) x=10 is the number that can give the largest product 2x(20-x) 2(10)(20-10) 200

  4. prizzyjade
    • one year ago
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    @Mr.CutieJ you there?

  5. prizzyjade
    • one year ago
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    did i get it right ?

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