anonymous
  • anonymous
calculate the number whose difference between itself and its square is a maximum
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Incomplete info. as it is x-x^2=max
anonymous
  • anonymous
how is the info incomplete?
anonymous
  • anonymous
a maximum: a maximum means nothing in of itself, a maximum to what?!

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anonymous
  • anonymous
the maximum difference between any two real numbers
anonymous
  • anonymous
sorry the maximmum difference between any number and its square
anonymous
  • anonymous
for example for 0.8 the difference is .8 - .8^2 = .16
watchmath
  • watchmath
Ok, so we want to maximize \(f(x)=x-x^2\) Without calculus: find the vertex \(x=-b/2a=-1/(2(-1))=1/2\). So it is maximum when \(x=1/2). With calculus, set \(f'(x)=1-2x=0\). Hence \(x=1/2\). Then you just need to justify that x=1/2 gives the maximum value.
anonymous
  • anonymous
this is how i interpreted the question
anonymous
  • anonymous
right! how the heck didn't i think of that - ty. how do i give medals?
watchmath
  • watchmath
Press the good answer button :)

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