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Recent questions tagged p233
ASK
If $u=\large\frac{1}{\sqrt{x^{2}+y^{2}}},$ then $x\large\frac{\partial u}{\partial x}$$+y\large\frac{\partial u}{\partial y}$ is equal to
tnstate
class12
bookproblem
p233
objective
q47
modelpaper
mar-2008
jun-2009
asked
May 20, 2013
by
poojasapani_1
1
answer
If $u=\sin^{-1}\begin{pmatrix}\large\frac{x^{4}+y^{4}}{x^{2}+y^{2}}\end{pmatrix}$ and $f=\sin u$ then $f$ is a homogeneous function of degree
tnstate
class12
bookproblem
p233
objective
q46
asked
May 20, 2013
by
poojasapani_1
1
answer
If $u=x^{y}$ then$\large\frac{\partial u}{\partial x}$ is equal to
tnstate
class12
bookproblem
p233
objective
q45
modelpaper
oct-2008
asked
May 20, 2013
by
poojasapani_1
1
answer
The curve $y=ax^{3}+bx^{2}+cx+d$ has a point of inflexion at $x=1$ then
tnstate
class12
bookproblem
p233
objective
q44
modelpaper
jun-2006
asked
May 20, 2013
by
poojasapani_1
1
answer
The point of inflexion of the curve $y=x^{4} $ is at
tnstate
class12
bookproblem
p233
objective
q43
asked
May 20, 2013
by
poojasapani_1
1
answer
Which of the following curves is concave down ?
tnstate
class12
bookproblem
p233
objective
q42
modelpaper
mar-2008
jun-2009
asked
May 20, 2013
by
poojasapani_1
1
answer
The curve $y=e^{-x} $ is
tnstate
class12
bookproblem
p233
objective
q41
asked
May 20, 2013
by
poojasapani_1
1
answer
If $f(x)=x^{2}-4x+5$ on $[0 ,3 ]$ then the absolute maximum value is
tnstate
class12
bookproblem
p233
objective
q40
asked
May 18, 2013
by
poojasapani_1
1
answer
The least possible perimeter of a rectangle of area $100m^{2}$ is
tnstate
class12
bookproblem
p233
objective
q39
modelpaper
oct-2007
oct-2008
asked
May 18, 2013
by
poojasapani_1
1
answer
In a semi circle of diameter $4$cm a rectangle is to be inscribed . The maximum area of the rectangle is
tnstate
class12
bookproblem
p233
objective
q38
modelpaper
mar-2006
asked
May 18, 2013
by
poojasapani_1
1
answer
The function $y=\tan x-x $ is
tnstate
class12
bookproblem
p233
objective
q37
asked
May 18, 2013
by
poojasapani_1
1
answer
Show that semi-vertical angle of right circular cone of given surface area and maximum volume is \( \sin^{-1} \left(\frac{1}{3}\right)\)
cbse
class12
bookproblem
ch6
sec5
q26
p233
sec-c
medium
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is \(\tan^{-1} \sqrt {2}\).
cbse
class12
bookproblem
ch6
sec5
q25
p233
sec-c
medium
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Show that the right circular cone of least curved surface and given volume has an altitude equal to \(\sqrt 2\) time the radius of the base.
cbse
class12
bookproblem
ch6
sec5
q24
p233
sec-c
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is\(\large\frac{8}{27}\) of the volume of the sphere.
cbse
class12
bookproblem
ch6
sec5
q23
p233
sec-c
difficult
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
A wire of length 28 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the length of the two pieces so that the combined area of the square and the circle is minimum?
cbse
class12
bookproblem
ch6
sec5
q22
p233
sec-b
medium
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Of all the closed cylindrical cans (right circular), of a given volume of 100 cubic centimetres, find the dimensions of the can which has the minimum surface area?
cbse
class12
bookproblem
ch6
sec5
q21
p233
sec-b
medium
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Show that the right circular cylinder of given surface and maximum volume is such that its height is equal to the diameter of the base.
cbse
class12
bookproblem
ch6
sec5
q20
p233
sec-c
medium
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.
cbse
class12
bookproblem
ch6
sec5
q19
p233
sec-c
medium
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
A rectangular sheet of tin 45 cm by 24 cm is to be made into a box without top, by cutting off square from each corner and folding up the flaps. What should be the side of the square in cms to be cut off so that the volume of the box is maximum ?
cbse
class12
bookproblem
ch6
sec5
q18
p233
sec-b
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
A square piece of tin of side 18 cm is to be made into a box without top, by cutting a square from each corner and folding up the flaps to form the box. What should be the side of the square to be cut off so that the volume of the box is the maximum possible.
cbse
class12
bookproblem
ch6
sec5
q17
p233
sec-c
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum.
cbse
class12
bookproblem
ch6
sec5
q16
p233
sec-a
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Find two positive numbers \(x\) and \(y\) such that their sum is 35 and the product \(x^2 y^5\) is a maximum.
cbse
class12
bookproblem
ch6
sec5
q15
p233
sec-b
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Find two positive numbers \(x\) and \(y\) such that \(x + y = 60\) and \(xy^3\) is maximum.
cbse
class12
bookproblem
ch6
sec5
q14
p233
sec-b
medium
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Find two numbers whose sum is 24 and whose product is as large as possible.
cbse
class12
bookproblem
ch6
sec5
q13
p233
sec-b
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
Find the maximum and minimum values of \( x + \sin\: 2x\) on \([0, 2\pi].\)
cbse
class12
bookproblem
ch6
sec5
q12
p233
sec-b
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
It is given that at $x = 1$, the function $x^4 – 62x^2 + ax + 9$ attains its maximum value, on the interval $[0, 2].$ Find the value of $a.$
cbse
class12
bookproblem
ch6
sec5
q11
p233
sec-a
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
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