Question

I really need help on this Calculus problem!!!!!

Answer 1

Which problem?

Answer 2

The sum of 2 nonnegative number is 36. Find these numbers if the first plus the second is a maximum.

Answer 3

The first plus the second is always 36.
do you mean their product is maximum?

Answer 4

i hope so!

Answer 5

@rewaggoner you have asked for the two numbers whose sum is 36 and whose sum is a maximum. but the sum is fixed already

Answer 6

Their product is maximum when they are equal so 18 and 18

Answer 7

You find the maximum of
\[ y= x(36-x)= -x^2 + 36x
\]

Answer 8

or reason as follows: if you call one number x and the other y, then you have \(x+y=36\) whichi is identical by the commutative law to \(y+x=36\) i.e you cannot tell the numbers apart. since it is symmetric in x and y it must be a max when they are equal (since you really can't tell them apart)