Recent questions tagged easy

If the radius of a sphere is measured as $70$ cm with an error of $0.03$cm, then find the approximate error in calculating its surface area

asked Dec 22, 2013 by balaji.thirumalai

1 answer

The distance of the plane $2x-3y+6z+14=0$ from origin is ?

asked Dec 22, 2013 by rvidyagovindarajan_1

1 answer

If the following matrix is singular, what is the value of $x: \; \begin{bmatrix} -3& -5 &1 \\ 9 & 14 & 1\\ 7+x&29 & -2 \end{bmatrix}$

asked Dec 22, 2013 by balaji.thirumalai

1 answer

If $\;x\sqrt{1+y}+y\sqrt{1+x}=0, \;$ Evaluate $ \large\frac{dy}{dx}$

asked Dec 22, 2013 by balaji.thirumalai

1 answer

Evaluate : $\cos\; \large \bigg( \frac{\pi}{2} -$$ \cos^{-1}\; \large\bigg (-\frac{\sqrt 3}{2}\bigg)\bigg)$

asked Dec 22, 2013 by balaji.thirumalai

1 answer

Integrate : $\int \large\frac{1}{x \log _e x \log ( \log _e x)}$$ dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{\sin ^2 x \cos ^2 x} $$dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{(a^x -b^x)}{a^x b^x}$$dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\large\frac{1+ \cos 4x }{\cot x - \tan x }$$dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\cos 2x - \cos 2 \alpha}{\cos x - \cos \alpha}$$ dx $

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^{\frac{\pi}{2}} \sin^{\frac{3}{4}} \cos ^3 x dx$

asked Dec 20, 2013 by meena.p

1 answer

Angle between lines of force and equi-potential surface is?

asked Dec 20, 2013 by balaji.thirumalai

1 answer

If the space between two plates of a capacitor is filled with liquid of dielectric constant K, the capacitance of the capacitor:

asked Dec 20, 2013 by balaji.thirumalai

1 answer

Two plates are 5 cm apart, a potential difference of 10V is applied between them. What is the electric field between the plates?

asked Dec 20, 2013 by balaji.thirumalai

1 answer

A condenser of $100\; \mu F$ is charged to $50 V$. What is its energy in Joules?

asked Dec 20, 2013 by balaji.thirumalai

1 answer

$I=\int \limits_0^{\frac{\pi}{2}} \sin ^4 x \cos^2 x dx$ find the value of I

asked Dec 20, 2013 by meena.p

1 answer

$I= \int \sin ^3 x \sin 2x dx$ Find the value of I

asked Dec 20, 2013 by meena.p

1 answer

$I= \int \limits_0^1 \int x^5 (1-x^2)^{\frac{3}{2}}dx$ Find the value of I

asked Dec 20, 2013 by meena.p

1 answer

$\lim\limits_{n\to\infty}\large\frac{1^p+2^p+3^p+.....+n^p}{n^{p+1}}$ is

asked Dec 20, 2013 by sreemathi.v

1 answer

Radii of two spheres forming a spherical condenser are 0.3 and 0.4m. If dielectric constant of medium is 4 and medium is completely filled in between, find the capacity of the condenser..

asked Dec 20, 2013 by balaji.thirumalai

1 answer

Let $f(x)=4$ and $f'(x)=4$. Then $\lim\limits_{x\to 2}\large\frac{xf(2)-2f(x)}{x-2}$ is given by

asked Dec 20, 2013 by sreemathi.v

1 answer

$I= \int \limits_0^{\frac{\pi}{6}} \cos ^5 3 \theta . \sin ^3 6 \theta d \theta$ Find the value of I.

asked Dec 20, 2013 by meena.p

1 answer

Integrate : $\int \limits _0^{\frac{\pi}{4}} \large\frac{\sin 5 x}{\cos 7x}$$dx$

asked Dec 20, 2013 by meena.p

1 answer

$\lim\limits_{x\to 0}\large\frac{\sqrt{1-\cos 2x}}{\sqrt{2x}}$ is

asked Dec 20, 2013 by sreemathi.v

1 answer

Integrate :$\int \limits_0^{\frac{\pi}{4}}$$ \large\frac{\sin ^3 x}{\cos ^7 x}$$dx$

asked Dec 20, 2013 by meena.p

1 answer

If three equal charges are placed on three corners of square and force between $q_1$ and $q_2$ is $F_2$, and the force between $q_1$ and $q_2$ is $F_3$, find $F_3/F_2$

asked Dec 20, 2013 by balaji.thirumalai

1 answer

If $(x)$ is differentiable and strictly increasing function then the value of $\lim\limits_{x\to 0}\large\frac{f(x^2)-f(x)}{f(x)-f(0)}$ is

asked Dec 20, 2013 by sreemathi.v

1 answer

Let $f:R\rightarrow R$ be a function defined by $f(x)=max(x,x^3)$.The set of all points where $f(x)$ is not differentiable

asked Dec 20, 2013 by sreemathi.v

1 answer

$ I= \int \limits_0^{\frac{\pi}{2}} \cos ^3 x dx$

asked Dec 20, 2013 by meena.p

1 answer

$\lim\limits_{x\to 0}\large\frac{\sin(\pi\cos^2x)}{x^2}$ equals

asked Dec 20, 2013 by sreemathi.v

1 answer

For $x\in R\lim\limits_{x\to \infty}\big(\large\frac{x-3}{x+2}\big)^x$=

asked Dec 20, 2013 by sreemathi.v

1 answer

If $G(x)=-\sqrt{25-x^2}$ then $\lim\limits_{x \to 1}\large\frac{G(x)-G(1)}{x-1}$ has the value

asked Dec 20, 2013 by sreemathi.v

1 answer

There exist a function $f(x)$ satisfying $f(0)=1$, $f'(0)=-1$, $f(x) > 0$ for all $x$

asked Dec 20, 2013 by sreemathi.v

1 answer

If $f(x)=\sqrt{\large\frac{x-\sin x}{x+\cos^2x}}$ then $\lim\limits_{x\to \infty}f(x)$ is

asked Dec 20, 2013 by sreemathi.v

1 answer

Find the equation of parabola with vertex (2,-3) and directrix x-4y-48=0.

asked Dec 20, 2013 by pranav_anshul

1 answer

$I= \int \limits_0^{\frac{\pi}{2}} \sin ^2 x dx $ find the value of I

asked Dec 20, 2013 by meena.p

1 answer

Let $f(x)=x|x|$. The set of points where $f(x)$ is twice differentiable is

asked Dec 20, 2013 by sreemathi.v

1 answer

$\lim\limits_{x\to \infty}\big(\large\frac{x+6}{x+1}\big)^{x+4}$=

asked Dec 20, 2013 by sreemathi.v

1 answer

If $f(9)=9,f'(9)=4$ then $\lim\limits_{x\to 9}\large\frac{\sqrt{f(x)}-3}{\sqrt x-3}$ equals

asked Dec 20, 2013 by sreemathi.v

1 answer

$\lim\limits_{x\to -\infty}\bigg[\large\frac{x^4\sin(1/x)+x^2}{(1+|x|^3)}\bigg]$=

asked Dec 20, 2013 by sreemathi.v

1 answer

$\lim\limits_{x\to 1}(1-x)\tan\large\frac{\pi x}{2}$=__________

asked Dec 20, 2013 by sreemathi.v

1 answer

A discontinuous function $y=f(x)$ satisfying $x^2+y^2=4$ is given by $f(x)$=_________

asked Dec 20, 2013 by sreemathi.v

1 answer

Let $f(x)=\left\{\small\begin{array}{1 1} \large\frac{(x^3+x^2-16x+20)}{(x-2)^2}&if\;x\neq 2\\K&if\;x=2\end{array}\right.$. If $f(x)$ is continuous for all $x$ then $K$ =

asked Dec 20, 2013 by sreemathi.v

1 answer

Let $f(x)=\left\{\small\begin{array}{1 1}(x-1)^2\sin\large\frac{1}{(x-1)}-\normalsize |x|&ifx\neq 1\\-1&if\;x=1\end{array}\right.$ be a real valued function. Then the set of points where $f(x)$ is not differentiable is

asked Dec 20, 2013 by sreemathi.v

1 answer

Integrate : $\int (x+1)^2$

asked Dec 20, 2013 by meena.p

0 answers

Integrate : $\int \cos (4x+5) dx$

asked Dec 20, 2013 by meena.p

1 answer

Integrate : $\int a ^{\log ax}. \sin b dx $

asked Dec 20, 2013 by meena.p

1 answer

Integrate : $\int \log (\sin x ) \cos x dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\tan ^{-1} (e^x)}{1+(e^x)^2}.e^x\;dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $ \int e^{ \log a }. x^e. dx$

asked Dec 19, 2013 by meena.p

1 answer

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