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Recent questions tagged ch5
Questions
If $x^my^n=(x+y)^{m+n}$,Prove that $(ii)\;\large\frac{d^2y}{dx^2}=$$0$
cbse
class12
ch5
q80
q80-2
p113
exemplar
sec-b
medium
math
asked
Jul 3, 2013
by
sreemathi.v
1
answer
For any complex number $z$ the minimum value of $|z|+|z-1|$ is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
medium
asked
Jul 2, 2013
by
rvidyagovindarajan_1
1
answer
The number of solutions of the equation $z^2+\overline {z}=0$ is
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Jul 2, 2013
by
rvidyagovindarajan_1
1
answer
A pendulum is released from $\theta_0=60 ^{\circ}$. The rate of change of speed of bob at $\theta=30 ^{\circ}$ is $(g=10 m/s^2)$
jeemain
physics
class11
ch5
laws-of-motion
newtons-second-law
easy
asked
Jul 1, 2013
by
meena.p
1
answer
Discuss the continuity of the following functions $(c)\;f(x)=\sin x.\cos x$
cbse
class12
ch5
sec1
q21
q21-c
p160
sec-a
easy
math
asked
May 28, 2013
by
sreemathi.v
1
answer
Discuss the continuity of the following functions $(b)\;f(x)=\sin x-\cos x$
cbse
class12
ch5
sec1
q21
q21-b
p160
sec-a
easy
math
asked
May 28, 2013
by
sreemathi.v
1
answer
Discuss the continuity of the following functions $(a)\;f(x)=\sin x+\cos x$
cbse
class12
ch5
sec1
q21
q21-a
p160
sec-a
easy
math
asked
May 28, 2013
by
sreemathi.v
1
answer
Examine the applicability of Mean Value Theorem for all three functions given in $(iii)\;f (x) = x^2-1 \;for\; x \: \in [1,2]$
cbse
class12
bookproblem
ch5
sec8
q6
q6-3
p186
sec-b
medium
math
asked
May 13, 2013
by
sreemathi.v
1
answer
Examine the applicability of Mean Value Theorem for all three functions given in $(ii)\;f (x) = [x] \;for\; x \: \in [-2,2]$
cbse
class12
bookproblem
ch5
sec8
q6
q6-2
p186
sec-a
easy
math
asked
May 13, 2013
by
sreemathi.v
1
answer
Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0}(\cos x)^{\large\frac{1}{x}}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p35
q1
q1-13
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0 +} x^{x}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p35
q1
q1-12
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists. $\;\lim\limits_{x \to \large\frac{\pi}{2}\;-} (\tan x)^{\cos x}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p35
q1
q1-11
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists. $\;\lim \limits_{x \to 1 } x^{\large\frac{1}{x-1}}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p34
q1
q1-10
modelpaper
oct-2006
oct-2007
jun-2009
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0+} x^{2}\log_{e}x.$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p34
q1
q1-9
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0} \large\frac{\cot x}{\cot 2x}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p34
q1
q1-8
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists. $\;\lim\limits_{x \to \infty} \large\frac{\log _{e}x}{x}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p34
q1
q1-7
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists. $\;\lim\limits_{x \to \infty} \large\frac{\frac{1}{x^{2}}-\large 2\tan^{-1}(\frac{1}{x})}{\Large\frac{1}{x}}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p34
q1
q1-6
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists. $\;\lim\limits_{x \to \infty}\large\frac{\sin\frac{2}{x}}{\Large\frac{1}{x}}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p34
q1
q1-5
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 2}\large\frac{x^{n}-2^{n}}{x-2}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p34
q1
q1-4
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0}\large\frac{\sin ^{-1} x}{x}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p34
q1
q1-3
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0} \large\frac{\tan x-x}{x- \sin x}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p34
q1
q1-2
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists.$\;\lim\limits_{x\to 2} \large\frac{\sin \pi x}{2 - x}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p34
q1
q1-1
asked
May 6, 2013
by
poojasapani_1
1
answer
Find the intervals of concavity and the points of inflection of the following functions: $y=12x^{2}-2x^{3}-x^{4}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-11
p67
q1
q1-6
modelpaper
mar-2007
jun-2007
jun-2009
asked
May 6, 2013
by
poojasapani_1
1
answer
Find the intervals of concavity and the points of inflection of the following functions: $f(\theta)=\sin 2\theta $ in $ (0 , \pi )$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-11
p67
q1
q1-5
asked
May 6, 2013
by
poojasapani_1
1
answer
Find the intervals of concavity and the points of inflection of the following functions: $f(x)=x^{4}-6x^{2}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-11
p67
q1
q1-4
modelpaper
jun-2006
asked
May 6, 2013
by
poojasapani_1
1
answer
Find the intervals of concavity and the points of inflection of the following functions: $f(x)=2x^{3}+5x^{2}-4x$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-11
p67
q1
q1-3
modelpaper
mar-2009
asked
May 6, 2013
by
poojasapani_1
1
answer
Find the intervals of concavity and the points of inflection of the following functions: $f(x)=x^{2}-x$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-11
p67
q1
q1-2
asked
May 6, 2013
by
poojasapani_1
1
answer
Find the intervals of concavity and the points of inflection of the following functions:$f(x)=(x-1)^{1/3}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-11
p67
q1
q1-1
asked
May 6, 2013
by
poojasapani_1
0
answers
Resistance to motion,$F$, of a moving vehicle is given by,$F=\large\frac{5}{x}$$+100x.$ Determine the minimum value of resistance.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-10
p60
q6
asked
May 6, 2013
by
poojasapani_1
1
answer
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius $r$.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-10
p60
q5
asked
May 6, 2013
by
poojasapani_1
1
answer
Show that of all the rectangles with a given perimeter the one with the greatest area is a square.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-10
p60
q4
asked
May 5, 2013
by
poojasapani_1
1
answer
Show that of all the rectangles with a given area the one with smallest perimeter is a square.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-10
p60
q3
asked
May 5, 2013
by
poojasapani_1
1
answer
Find two positive numbers whose product is $100$ and whose sum is minimum.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-10
p60
q2
asked
May 5, 2013
by
poojasapani_1
1
answer
Find two numbers whose sum is $100 $ and whose product is a maximum.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-10
p60
q1
modelpaper
oct-2009
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the local maximum and minimum values of the following: $t+ \cos t$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q3
q3-6
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the local maximum and minimum values of the following: $\sin^{2} \theta , [0 ,\pi ]$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q3
q3-5
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the local maximum and minimum values of the following: $(x^{2}-1)^{3}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q3
q3-4
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the local maximum and minimum values of the following: $x^{4}-6x^{2}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q3
q3-3
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the local maximum and minimum values of the following: $2x^{3}+5x^{2}-4x $
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q3
q3-2
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the local maximum and minimum values of the following: $x^{3}-x$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q3
q3-1
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the absolute maximum and absolute minimum values of $f$ on the given interval: $\;f(x)=x-2\cos x , [-\pi ,\pi ]$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q2
q2-7
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the absolute maximum and absolute minimum values of $f$ on the given interval: $\;f(x)=\sin x +\cos x ,[0 ,\large\frac {\pi}{3}]$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q2
q2-6
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the absolute maximum and absolute minimum values of $f$ on the given interval: $\;f(x)=\large\frac{x}{x+1},$$ [1 , 2 ]$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q2
q2-5
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the absolute maximum and absolute minimum values of $f$ on the given interval: $\;f(x)=\sqrt{9-x^{2}} ,[-1 , 2]$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q2
q2-4
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the absolute maximum and absolute minimum values of $f$ on the given interval: $\;f(x)=x^{3}-12x+1 ,[-3 , 5]$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q2
q2-3
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the absolute maximum and absolute minimum values of $f$ on the given interval: $\;f(x)=1-2x-x^{2}, [-4 , 1 ]$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q2
q2-2
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the absolute maximum and absolute minimum values of $f$ on the given interval: $\;f(x)=x^{2}-2x+2 , [0 , 3 ]$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q2
q2-1
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the critical numbers and stationary points of each of the following functions.$\;f(\theta)=\theta+\sin\theta$ in $[0 , 2\pi ]$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q1
q1-6
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the critical numbers and stationary points of each of the following functions. $\;f(\theta)=\sin^{2} 2\theta \;$in$\;[0 , \pi ]$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q1
q1-5
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the critical numbers and stationary points of each of the following functions.$\;f(x)=\large\frac{x+1}{x^{2}+x+1}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q1
q1-4
asked
May 5, 2013
by
poojasapani_1
1
answer
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