Recent questions tagged q1

Find all the value of the following : $(i)^{\large\frac{1}{3}}$

asked Jun 12, 2013 by sreemathi.v

1 answer

Compute the magnitude of the following vectors: $(iii)\;\overrightarrow c = \large\frac{1}{\sqrt 3}$$\hat i +\large \frac{1}{\sqrt 3}$$\hat j - \large\frac{1}{\sqrt 3}$$\hat k$

asked May 16, 2013 by sreemathi.v

1 answer

Compute the magnitude of the following vectors: $(ii)\; \overrightarrow b = 2\hat i - 7 \hat j - 3\hat k $

asked May 16, 2013 by sreemathi.v

1 answer

The gradient of the curve $y=-2x^{3}+3x+5$ at $x=2$ is

asked May 15, 2013 by poojasapani_1

1 answer

The rank of the matrix $\begin{bmatrix} 1 & -1 & 2 \\2 & -2 & 4 \\4 & -4 & 8 \end{bmatrix}$ is

asked May 6, 2013 by poojasapani_1

1 answer

In each of the following cases determine the direction cosines of the normal to the plane and the distance from origin(d) $5y+8=0$

asked May 6, 2013 by rvidyagovindarajan_1

1 answer

In each of the following cases determine the direction cosines of the normal to the plane and the distance from origin(c) $2x+3y-z=5$

asked May 6, 2013 by rvidyagovindarajan_1

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0}(\cos x)^{\large\frac{1}{x}}$

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0 +} x^{x}$

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to \large\frac{\pi}{2}\;-} (\tan x)^{\cos x}$

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists. $\;\lim \limits_{x \to 1 } x^{\large\frac{1}{x-1}}$

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0+} x^{2}\log_{e}x.$

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0} \large\frac{\cot x}{\cot 2x}$

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to \infty} \large\frac{\log _{e}x}{x}$

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to \infty} \large\frac{\frac{1}{x^{2}}-\large 2\tan^{-1}(\frac{1}{x})}{\Large\frac{1}{x}}$

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to \infty}\large\frac{\sin\frac{2}{x}}{\Large\frac{1}{x}}$

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 2}\large\frac{x^{n}-2^{n}}{x-2}$

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0}\large\frac{\sin ^{-1} x}{x}$

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0} \large\frac{\tan x-x}{x- \sin x}$

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists.$\;\lim\limits_{x\to 2} \large\frac{\sin \pi x}{2 - x}$

asked May 6, 2013 by poojasapani_1

1 answer

In each of the following cases,determine the direction cosines of the normal to the plane and also the distance from origin(b) $x+y+z=1$

asked May 6, 2013 by rvidyagovindarajan_1

1 answer

Find the intervals of concavity and the points of inflection of the following functions: $y=12x^{2}-2x^{3}-x^{4}$

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 )$

asked May 6, 2013 by poojasapani_1

1 answer

Find the intervals of concavity and the points of inflection of the following functions: $f(x)=x^{4}-6x^{2}$

asked May 6, 2013 by poojasapani_1

1 answer

Find the intervals of concavity and the points of inflection of the following functions: $f(x)=2x^{3}+5x^{2}-4x$

asked May 6, 2013 by poojasapani_1

1 answer

Find the intervals of concavity and the points of inflection of the following functions: $f(x)=x^{2}-x$

asked May 6, 2013 by poojasapani_1

1 answer

Find the intervals of concavity and the points of inflection of the following functions:$f(x)=(x-1)^{1/3}$

asked May 6, 2013 by poojasapani_1

0 answers

Find two numbers whose sum is $100 $ and whose product is a maximum.

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 $[0 , 2\pi ]$

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$\;[0 , \pi ]$

asked May 5, 2013 by poojasapani_1

1 answer

Find the critical numbers and stationary points of each of the following functions.$\;f(x)=\large\frac{x+1}{x^{2}+x+1}$

asked May 5, 2013 by poojasapani_1

1 answer

Find the critical numbers and stationary points of each of the following functions.$\;f(x)=x^{4/5}(x-4)^{2}$

asked May 5, 2013 by poojasapani_1

0 answers

Find the critical numbers and stationary points of each of the following functions.$\;f(x)=x^{3}-3x+1$

asked May 5, 2013 by poojasapani_1

1 answer

Find the critical numbers and stationary points of each of the following functions.$\;f(x)=2x-3x^{2}$

asked May 5, 2013 by poojasapani_1

1 answer

Prove the following inequalities: $\log(1+ x)< x $ for all $x>0$

asked May 4, 2013 by poojasapani_1

1 answer

Prove the following inequalities: $\tan ^{-1}x < x$ for all $x>0$

asked May 4, 2013 by poojasapani_1

1 answer

Prove the following inequalities: $\sin x> x-\large\frac{x^{3}}{6}, $$x>0$

asked May 4, 2013 by poojasapani_1

1 answer

Prove the following inequalities: $\cos x> 1-\large\frac{x^{2}}{2}, $$x>0$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that $e^{x} $ is strictly increasing function on $R$.

asked May 4, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists,$\;\lim\limits_{x \to 2} \large\frac{\sin\pi x}{2-x}$

asked May 4, 2013 by poojasapani_1

1 answer

Obtain the Maclaurin's series expansion for:$\;\tan x,- \large\frac{\pi}{2} \lt \normalsize x \lt \large\frac{\pi}{2}$

asked May 4, 2013 by poojasapani_1

1 answer

Obtain the Maclaurin's series expansion for:$\;\large\frac{1}{1+x}$

asked May 4, 2013 by poojasapani_1

1 answer

Obtain the Maclaurin's series expansion for:$\;\cos^{2}x$

asked May 4, 2013 by poojasapani_1

1 answer

Obtain the Maclaurin's series expansion for:$\;e^{2x}$

asked May 4, 2013 by poojasapani_1

1 answer

Verify Lagrange's theorem for the following function;\[\]$f(x)=x^{3}-5x^{2}-3x\;[1,3]$

asked May 3, 2013 by poojasapani_1

1 answer

Verify Lagrange's theorem for the following function;\[\]$f(x)=x^{\large\frac{2}{3}}[-2,2]$

asked May 3, 2013 by poojasapani_1

1 answer

Verify Lagrange's theorem for the following function;\[\] $f(x)=2x^{3}+x^{2}-x-1\quad [0,2]$

asked May 3, 2013 by poojasapani_1

1 answer

Verify Lagranges theorem for the following function;$f(x)=\large\frac{1}{x}$$\quad[1,2]$

asked May 3, 2013 by poojasapani_1

1 answer

Verify Lagrange's law of mean for the following function;\[\]$f(x)=1-x^{2} \quad [0,3]$.

asked May 3, 2013 by poojasapani_1

1 answer

Verify Rolle's theorem for the following function; $f(x)=4x^{3}-9x;-\large\frac{3}{2}\leq x\leq \frac{3}{2}$.

asked May 3, 2013 by poojasapani_1

1 answer

Ask Questions, Get Answers