Question

find the 2number x&y whose sum is16, sum of whose cubes is minima​

Answer 1

Answer:

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Answer 2

Answer:

We have to maximise x³ +y³ and we have x+y=16

Put x=16−y in x³ +y³

we get f(y)=48y² −768y+4096

First derivative is given by

f (y)=96y−768

Putting this to zero we get, y=8

f (y)=96

Given that second derivative is positive

So given function will have minima when y=8

So x=16−8=8