Find two positive numbers x and y such that their sum is 35 and t | Filo

Class 12

Math

Calculus

Application of Derivatives

562
150

Find two positive numbers x and y such that their sum is 35 and the product is a maximum.

Solution: Solution: Here, .

Let
Then,
Now, for to be maximum, should be .

When , then our product is that is minimum.
When , then our product is that is minimum.
When , then our product is will be maximum.
So, are the required values.
562
150

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