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Recent questions tagged sec-1
Questions
Solve the following differential equation;$(D^{2}-13D+12)$y$=e^{-2x}+5e^x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q4
asked
Sep 5, 2013
by
sreemathi.v
1
answer
Find the equation of parabola if : Vertex $(1 , 4); $ open left ward and passing through the point $(-2,10)$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
q1
q1-6
p192
asked
Jun 24, 2013
by
sreemathi.v
1
answer
Find the equation of the hyperbola if centre: $(0 , 0 )$ length of the semi-transverse axis is $6; e=3$ and the transverse axis is parallel to $y$-axis.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
q1
q1-3
p237
mar-2007
modelpaper
asked
Jun 19, 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
Find the critical numbers and stationary points of each of the following functions.$\;f(x)=x^{4/5}(x-4)^{2}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q1
q1-3
asked
May 5, 2013
by
poojasapani_1
0
answers
Find the critical numbers and stationary points of each of the following functions.$\;f(x)=x^{3}-3x+1$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q1
q1-2
asked
May 5, 2013
by
poojasapani_1
1
answer
Find the critical numbers and stationary points of each of the following functions.$\;f(x)=2x-3x^{2}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-9
p53
q1
q1-1
asked
May 5, 2013
by
poojasapani_1
1
answer
Prove the following inequalities: $\log(1+ x)< x $ for all $x>0$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-8
p43
q1
q1-4
asked
May 4, 2013
by
poojasapani_1
1
answer
Prove the following inequalities: $\tan ^{-1}x < x$ for all $x>0$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-8
p43
q1
q1-3
asked
May 4, 2013
by
poojasapani_1
1
answer
Prove the following inequalities: $\sin x> x-\large\frac{x^{3}}{6}, $$x>0$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-8
p43
q1
q1-2
asked
May 4, 2013
by
poojasapani_1
1
answer
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