This is a Test of Mathematics Solution Subjective 79 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta
Let ,
, ... ,
be any values in the closed interval
. Show that
=
.
What is the maximum value attainable by and at what values of
,
, ... ,
, is the maximum value attained?
=
Now we will show that for any
Now
[ as
]
So for any
So (proved)
Maximum value attained by is
and will be attained for
for
This is a Test of Mathematics Solution Subjective 79 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta
Let ,
, ... ,
be any values in the closed interval
. Show that
=
.
What is the maximum value attainable by and at what values of
,
, ... ,
, is the maximum value attained?
=
Now we will show that for any
Now
[ as
]
So for any
So (proved)
Maximum value attained by is
and will be attained for
for