A bottle is filled with 4oz of perfume. If 20% of the perfume evaporates, how many ounces remain?
2 answers:
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Answer with Step-by-step explanation:
We are given that
Let g(x,y)=
We have to find the extreme values of the given function
Using Lagrange multipliers
Possible value x=0 or
If x=0 then substitute the value in g(x,y)
Then, we get
If and substitute in the equation
Then , we get possible value of y=0
When y=0 substitute in g(x,y) then we get
Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).
Therefore, the maximum value of f on the circle is
and minimum value of