have to find that their is as large as possible. We Let then for P = x (20-x) the numbers be product of them is i.e. two positive numbers such sum is 20 and their product p'(x) 20x-x². maximum or minimum value of p = 0· 20-2x = 0 x = 10- Now, p"(x) As p" (x) <0 at value at -2 <0 x=10 x=10. So the numbers are i.e. x and 20-2. 10 and 10. P have maximum 10 and 20-10
have to find that their is as large as possible. We Let then for P = x (20-x) the numbers be product of them is i.e. two positive numbers such sum is 20 and their product p'(x) 20x-x². maximum or minimum value of p = 0· 20-2x = 0 x = 10- Now, p"(x) As p" (x) <0 at value at -2 <0 x=10 x=10. So the numbers are i.e. x and 20-2. 10 and 10. P have maximum 10 and 20-10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:We
that
is as
Let
have to find two positive numbers such
their
sum is 20 and their product
as possible.
large
then
P = x (₂0-x)
for
the numbers be
product of them
i.e.
= 20x-x².
maximum or minimum value of p
P² (x) = 0.
20-2x =
x = 10-
Now, P" (x)
As p" (x) < 0 at
value
at
-2 <0·
x=10
x=10.
So the numbers
i.e.
x and
are
is
20-2.
10 and 10.
P have maximum
10 and 20-10
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