Find two positive numbers x and y such t...

Find two positive numbers x and y such that `x+y = 60` and `xy^3` is maximum.

Topper's Solved these Questions

APPLICATIONS OF DERIVATIVES
PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos
APPLICATIONS OF INTEGRALS
PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

Find two positive numbers x and y such that their sum is 35 and the product x^2y^5 is a maximum.

Find two positive numbers 'x' and 'y' such that their sum is 35 and product x^2y^5 is maximum.

Find two positive numbers x and y such that their sum is 35 and product x^(2)y^(5) is maximum.

Find the total number of positive integral solutions for (x ,y ,z) such that x y z=24. Also find out the total number of integral solutions.

Find the least value of 3x+4y for positive values of x and y, dubject to the condition x^(2)y^(3)=6 .

If x and y are positive integers such that, xy+x+y=71,x^2 y+xy^2=880, then x^2+y^2= a)125 b)137 c)146 d)152

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE

Find the maximum and minimum values of x + sin 2x on [0, 2pi]
Text Solution
|
. Find two numbers whose sum is 24 and whose product is as large as po...
Text Solution
|
Find two positive numbers x and y such that x+y = 60 and xy^3 is maxim...
Text Solution
|
Find two positive numbers whose sum is 15 and the sum of whose squares...
Text Solution
|
A square ·piece of tin of side 12 cm is to be made into a box without ...
Text Solution
|
A rectangular sheet of tin 45 cm x 24 cm is to be made into a box with...
Text Solution
|
Show that of all rectangles inscribed in a given circle the square has...
Text Solution
|
Show that the rectangle of maximm area that can be inscribed in a circ...
Text Solution
|
Show that the right circular cylinder of given surface and maximum vol...
Text Solution
|
If all the closed cylindrical cans (right circular), which enclose a g...
Text Solution
|
A wire of length 28 m is to be cut into two pieces, one of the pieces ...
Text Solution
|
Prove that volume of largest cone, which can be inscribed in a sphere,...
Text Solution
|
Show that the right circular cone of least curved surface and given vo...
Text Solution
|
Show that the semi-vertical angle of the cone of the maximum volume an...
Text Solution
|
Show that semi-vertical angle of right circular cone of given surface ...
Text Solution
|
The point on the curve x^2 = 2y which is nearest to the point (0,5) is...
Text Solution
|
For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:
Text Solution
|
The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:
Text Solution
|
Using differentials, find an approximate value of each of the followin...
Text Solution
|
Using differentials, find an approximate value of each of the followin...
Text Solution
|