Recent questions tagged q4

If $\cos^{-1}\bigg(\large\frac{x^2-y^2}{x^2+y^2}\bigg)=k$ (a constant ), then $\large\frac{dy}{dx}=$

asked Sep 20, 2013 by meena.p

1 answer

A discrete random variable X has the following probability distributions (see table below). (iii) Find P(3 < x < 7)

asked Sep 16, 2013 by sreemathi.v

1 answer

A discrete random variable X has the following probability distributions (see table below). (ii) Find P(x < 3)

asked Sep 16, 2013 by sreemathi.v

1 answer

$^nC_{r-1}=330,\;^n C_r =462,\;^n C_{r+1}=462 =>r\;$=

asked Sep 13, 2013 by meena.p

1 answer

$\sqrt { \sqrt 3-\sqrt {4+\sqrt 5+\sqrt {17-4 \sqrt {15}}}}$= ..................... .

asked Sep 13, 2013 by meena.p

0 answers

$y= \sin ^{-1} \bigg[\large\frac{1-x^2}{1+x^2}\bigg],$ find $\large\frac{dy}{dx}$:

asked Sep 12, 2013 by meena.p

1 answer

A ratio isotope has a half life 10 days. If today there is 125 g of it left, what was its weight 40 days earlier?

asked Sep 11, 2013 by meena.p

1 answer

From Bohr's theory when electrons jump from higher energy orbits to second orbit spectral lines that occur belongs to ................ series.

asked Sep 10, 2013 by meena.p

1 answer

A charged bead is capable of sliding freely through a string held vertically in tension. An electric field is applied parallel to the string, so that the bead stays at rest at middle of the string. If the electric field is switched off momentarily switched on:

asked Sep 10, 2013 by meena.p

1 answer

Solve the following differential equation;$(D^{2}-13D+12)$y$=e^{-2x}+5e^x$

asked Sep 5, 2013 by sreemathi.v

1 answer

Choose the correct answer

asked Sep 4, 2013 by sreemathi.v

1 answer

The compound that undergoes SN1 reaction most rapidly is

asked Aug 23, 2013 by sreemathi.v

1 answer

Refer to the below equations :

asked Aug 21, 2013 by sreemathi.v

1 answer

Find the intervals in which the function $f$ given by $f (x) = 2x^2 – 3x$ is $ (b)\; strictly\; decreasing$

asked Aug 16, 2013 by sreemathi.v

1 answer

Prove that the following functions do not have maxima or minima: $ (iii)\: h (x) =x^3+x^2+x+1 $

asked Aug 7, 2013 by sreemathi.v

1 answer

Prove that the following functions do not have maxima or minima: $ (ii)\: g(x)=\log x $

asked Aug 7, 2013 by sreemathi.v

1 answer

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time 't' is proportional to

asked Jul 16, 2013 by meena.p

1 answer

A class consists of $10$ boys and $8$ girls.Three students are selected at random.Find the probability that the selected row has

asked Jul 16, 2013 by sreemathi.v

1 answer

A ball is thrown vertically upwards from ground and a student gazing out of window sees it moving upward past him at 5 m/s. The window is 10 m above the ground.Find the maximum height of the ball.

asked Jun 20, 2013 by meena.p

1 answer

Find the probability distribution of number of heads in four tosses of a coin.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

Find the probability distribution of number of tails in the simultaneous tosses of three coins.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

Find the probability distribution of number of heads in two tosses of a coin.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

Identify the pair whose dimensions are equal

asked Jun 16, 2013 by meena.p

1 answer

Solve : $x^4-x^3+x^2-x+1=0$

asked Jun 13, 2013 by sreemathi.v

1 answer

Solve : $x^4+4=0$

asked Jun 12, 2013 by sreemathi.v

1 answer

Prove that the triangle formed by the points representing the complex numbers $(10+8i),(-2+4i)$ and $(-11+31i)$ on the Argand plane is right angled.

asked Jun 10, 2013 by sreemathi.v

1 answer

A spherical snowball is melting in such a way that its volume is decreasing at a rate of $1 cm^{3}/min.$ The rate at which the diameter is decreasing when the diameter is $10 cms$ is

asked May 15, 2013 by poojasapani_1

1 answer

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane $(d)\;5y + 8 = 0 $

asked May 9, 2013 by rvidyagovindarajan_1

1 answer

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane $(c)\; x + y + z = 1 $

asked May 9, 2013 by rvidyagovindarajan_1

1 answer

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane $(b)\; 3y + 4z – 6 = 0 $

asked May 9, 2013 by rvidyagovindarajan_1

1 answer

If A=$\begin{bmatrix} 1\\ 2 \\ 3 \end{bmatrix}$ than the rank of $AA^{T}$is

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.

asked May 5, 2013 by poojasapani_1

1 answer

Prove that the following functions are not monotonic in the intervals given. $\tan x + \cot x $ on $[0 , \large\frac{\pi}{2}]$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that the following functions are not monotonic in the intervals given. $x \sin x$ on $[0 , \pi ]$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that the following functions are not monotonic in the intervals given. $x(x-1)(x+1) $ on $[0 , 2 ]$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that the following functions are not monotonic in the intervals given. $2x^{2}+x-5$ on $[-1 ,0 ]$

asked May 4, 2013 by poojasapani_1

2 answers

At what points on the curve $x^{2}+y^{2}-2x-4y+1=0$ the tangent is parallel to $y$- axis.

asked May 3, 2013 by poojasapani_1

1 answer

At what points on the curve $x^{2}+y^{2}-2x-4y+1=0$ the tangent is parallel to $x$- axis.

asked May 3, 2013 by poojasapani_1

1 answer

Newton's law of cooling is given by $\theta=\theta_0^{\circ}e^{-kt},$ where the excess of temperature at zero time is $0^{\circ}_{\circ}C $ and at time $t$ seconds is $\theta ^{\circ}C $. Determine the rate of change of temperature after $40 s,$ given that $\theta_{\cdot}=16^{\circ}C $ and $k=-0.03.\qquad (e^{1.2}=3.3201)$

asked Apr 30, 2013 by poojasapani_1

1 answer

Prove that the curved surface area of a sphere of radius $r$ intercepted between two parallel planes at a distance $a$ and $b$ from the centre of the sphere is $\;2\pi r(b-a)$ and hence deduct the surface area of the sphere,$(b>a)$

asked Apr 30, 2013 by poojasapani_1

1 answer

Find the area of the region bounded by the curve $y=3x^{2}-x$ and the $x$-axis between $x=-1$ and $x=1$

asked Apr 27, 2013 by poojasapani_1

1 answer

Evaluate: $\int\limits_{0}^{\infty}x^{6}e^{\large\frac{-1}{2}}dx$

asked Apr 27, 2013 by poojasapani_1

1 answer

Evaluate: $\int\limits_{0}^{1} x e^{-2x} dx$

asked Apr 27, 2013 by poojasapani_1

1 answer

Evaluate the following problems using properties of integration: $\int\limits_{\large\frac{-\pi}{2}}^{\large\frac{\pi}{2}}\cos^{3} x dx$

asked Apr 27, 2013 by poojasapani_1

0 answers

Evaluate the following problems using second fundamental theorem: $\int\limits_{0}^{\large\frac{\pi}{4}}2\sin^{2}x \sin 2x dx$

asked Apr 26, 2013 by poojasapani_1

1 answer

Find $\large\frac{\partial w}{\partial u}$ and $\large\frac{\partial w}{\partial v}$ if $\;w=\sin^{-1}xy$ where $x=u+v,y=u-v$

asked Apr 26, 2013 by poojasapani_1

1 answer

Find $\large\frac{\partial w}{\partial u}$ and $\large\frac{\partial w}{\partial v}$ if$\;w=x^{2}+y^{2}$ where $x=u^{2}-v^{2},y=2uv$

asked Apr 26, 2013 by poojasapani_1

1 answer

Find $\large\frac{\partial w}{\partial r}$ and $\large\frac{\partial w}{\partial \theta}$ if $\;w=\log(x^{2}+y^{2})$where $\;x=r\cos\theta,y=r\sin\theta$

asked Apr 26, 2013 by poojasapani_1

1 answer

The edge of a cube was found to be $30cm$ with a possible error in mesurement of $ 0.1cm$. Use differentials to estimate the maximum possible error in computing the surfacearea of the cube .

asked Apr 24, 2013 by poojasapani_1

1 answer

The edge of a cube was found to be $30cm$ with a possible error in mesurement of $ 0.1cm$. Use differentials to estimate the maximum possible error in computing the volume of the cube .

asked Apr 24, 2013 by poojasapani_1

1 answer

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