anonymous
  • anonymous
Is this function linear? \[\sum_{k=1}^{n}\left(a - a_1\right)\cdot\left(a-a_2\right)\cdots\left(a-a_n\right)\] Where \(a_1,a_2, \ldots, a_n \in \left[0,a\right]\).
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
anonymous
  • anonymous
\(a\) is any positive integer.
anonymous
  • anonymous
I need to determine maximum of the function

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anonymous
  • anonymous
Linear with respect to a
anonymous
  • anonymous
?
anonymous
  • anonymous
but I am confused a bit
anonymous
  • anonymous
This function does not seem to be linear.
anonymous
  • anonymous
If it's linear it will be maximum at end points right?
anonymous
  • anonymous
does not. hmm but in the book it says it is and i am confused.
anonymous
  • anonymous
with respect to a not linear wrt to any of ai linear
anonymous
  • anonymous
if some function were xy + y + x, would it still be linear? y and x are variables. or (a-y)(a-x).
anonymous
  • anonymous
i am sorry if i am asking stupid questions, i am just confused
anonymous
  • anonymous
for function xy + y + x if u fix y(for example) function will be linear wrt x

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