Question

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 \(a_1,a_2, \ldots, a_n \in \left[0,a\right]\).

Answer 1

@mukushla

Answer 2

\(a\) is any positive integer.

Answer 3

I need to determine maximum of the function

Answer 4

Linear with respect to a

Answer 5

?

Answer 6

but I am confused a bit

Answer 7

This function does not seem to be linear.

Answer 8

If it's linear it will be maximum at end points right?

Answer 9

does not. hmm but in the book it says it is and i am confused.

Answer 10

with respect to a not linear
wrt to any of ai linear

Answer 11

if some function were xy + y + x, would it still be linear? y and x are variables. or (a-y)(a-x).

Answer 12

i am sorry if i am asking stupid questions, i am just confused

Answer 13

for function xy + y + x if u fix y(for example) function will be linear wrt x