40. If x and y are both positive, then the minimum value of (x + y) ((1/x) + (1/y))
is : *
O O
O 1
O 2
O 4
Answers
Answered by
2
Answer:
4 ha plzzz like and follow meeee
Answered by
1
Answer:
4
Explanation:
:
By symmetry
x
=
y
=
λ
so substituting
(
2
λ
)
(
2
λ
)
=
4
Now supposing
x
=
λ
−
δ
and
y
=
λ
+
δ
we have
(
2
λ
)
(
1
λ
−
δ
+
1
λ
+
δ
)
=
4
λ
2
λ
2
−
δ
2
As we can observe the minimum value for
f
(
λ
)
=
4
λ
2
λ
2
−
δ
2
is
4
for
δ
=
0
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