The value of a(a >0) for which the area ...

The value of `a(a >0)` for which the area bounded by the curves `y=x/6+1/(x^2),y=0,x=a ,a n dx=2a` has the least value is__

Text Solution

AI Generated Solution

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|3 Videos
APPLICATIONS OF DERIVATIVES
CENGAGE ENGLISH|Exercise Comprehension Type|5 Videos

Similar Questions

Explore conceptually related problems

The value of a(agt0) for which the area bounded by the curves y=(x)/(6)+(1)/(x^(2)),y=0,x=a, and x=2a has the least value is ___.

Area bounded by the curves y=|x-1|, y=0 and |x|=2

Find the area bounded by the curves x+2|y|=1 and x=0 .

Find the area bounded by the curves y=6x -x^(2) and y= x^(2)-2x

Find the area bounded by the curves y=6x-x^2a n dy=x^2-2xdot

Area bounded by the curves y=x^2 - 1 and x+y=3 is:

The area bounded by the curve y=3/|x| and y+|2-x|=2 is

The area bounded by the curves y=|x|-1 and y= -|x|+1 is

Find the area of the region bounded by the curves y=x^2+2, y=x ,x=0,a n dx=3.

CENGAGE ENGLISH-APPLICATION OF INTEGRALS-All Questions

f(x) is a polynomial of degree 3 passing through the origin having loc...
Text Solution
|
int x^2(1-1/x^2)dx =
Text Solution
|
The value of a(a >0) for which the area bounded by the curves y=x/6+1/...
Text Solution
|
Area bounded by the relation [2x]+[y]=5, x , y >0 is
Text Solution
|
The area bounded by the curves y=x(x-3)^2a n dy=x is (in sq. units)
Text Solution
|
If the area of the region {(x , y):0lt=ylt=x^2+1,0lt=ylt=x+1,0lt=xlt=2...
Text Solution
|
The area enclosed by f(x)=12+a x-x^2 coordinates axes and the ordinat...
Text Solution
|
If the area bounded by the curve f(x)=x^(1/3)(x-1) and the x-axis is A...
Text Solution
|
If the area bounded by the curve y=x^2+1 and the tangents to it drawn ...
Text Solution
|
If the area enclosed by the curve y=sqrt(x) and x=-sqrt(y) , the circl...
Text Solution
|
Which of the following abnormalities is due to X-linked recessive ...
Text Solution
|
If A is the area bounded by the curves y=sqrt(1-x^2) and y=x^3-x , the...
Text Solution
|
A curve is given by y={(sqrt(4-x^2)),0lt=x<1and sqrt((3x)),1lt=xlt=...
Text Solution
|
Find the area enclosed by the curves x^2=y , y=x+2 and x-axis
Text Solution
|
Find the area of the region bounded by the curves y=x^2+2, y=x ,x=0,a ...
Text Solution
|
Find the area of that part of the circle "x"^2+" y"^2=16 which is ex...
Text Solution
|
Find the area bounded by the y-axis, y=cosx ,and y=sinx when 0lt=xlt=p...
Text Solution
|
Find the area lying in the first quadrant and bounded by the curve y=x...
Text Solution
|
If the area enclosed by curve y=f(x)a n dy=x^2+2 between the abscissa ...
Text Solution
|
Plot the region in the first quadrant in which points are nearer to th...
Text Solution
|