Recent questions tagged q6

If $ y =\large\frac{\log_{\Large e}x}{x}$ and $z= \log_ ex,$ then $\large\frac{d^2y}{dz^2}+\frac{dy}{dx}=$

asked Sep 20, 2013 by meena.p

1 answer

If $t_n$ denotes the number of triangles formed with n points in a plane no three of which are collinear and if $t_{n+1}-t_n=36,$ then $n=$

asked Sep 13, 2013 by meena.p

1 answer

$x= \cos \theta+ \theta \sin \theta, y=\sin \theta-\theta \cos \theta,$ then $\large\frac{d^2y}{dx^2}$ = ................... .

asked Sep 13, 2013 by meena.p

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The number of non-zero terms in the expansion of $(1+ 3 \sqrt {2}x)^9+(1-3 \sqrt {2} x)^9$ is equal to :

asked Sep 12, 2013 by meena.p

1 answer

Aniline is treated with $NaNO_2$ and $HCl$ at $0^{\circ} C$, the product formed is

asked Sep 11, 2013 by meena.p

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A body vibrating with a certain frequency sends waves of wavelength 15 cm in a medium $\mathit{A}\;$ and 20 cm in medium $\mathit{B}\;$. If $\mathit{v}\;$ of waves in $\mathit{A}\;$ is 120 m/s. That in $\mathit{B}\;$ will be ................ m/s.

asked Sep 11, 2013 by meena.p

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An element '$\mathit{X}$' decays first by positron emission and then two $\alpha$ - particles are emitted in successive radioactive decay. If the product nucleus has mass number 227and atomic number 89 the mass number and atomic number of element '$\mathit{X}$' are:

asked Sep 10, 2013 by meena.p

1 answer

Mark out the correct comparison of the rates of solvolysis reaction

asked Sep 4, 2013 by sreemathi.v

1 answer

Which of the following are correct statements regarding unimolecular SN1

asked Aug 23, 2013 by sreemathi.v

1 answer

Refer to the below equation :

asked Aug 21, 2013 by sreemathi.v

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Feasible region (shaded) for a LPP is shown. Maximise $z=5x+7y$

asked Aug 20, 2013 by sreemathi.v

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Gas escapes from the surface of a planet because it aquires escape velocity. The escape velocity will depend on which of the following <br> 1) Mass of planet <br> 2) Mass of particle escaping <br> 3) Temperature of the planet <br> 4) Radius of the planet

asked Aug 9, 2013 by meena.p

1 answer

A force of 0.5 N acts on body of mass 5 kg initially at rest for one minute. Find the work done by the force.

asked Jul 17, 2013 by meena.p

1 answer

Evaluate :$\int\large\frac{\sqrt{16+(\log x)^2}}{x}$$dx$

asked Jul 16, 2013 by sreemathi.v

1 answer

Find the intervals in which the following functions are strictly increasing or decreasing: $(e) \;(x+1)^3(x-3)^3$

asked Jul 9, 2013 by sreemathi.v

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Find the intervals in which the following functions are strictly increasing or decreasing: $(d) \;6-9x-x^2$

asked Jul 9, 2013 by sreemathi.v

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Find the intervals in which the following functions are strictly increasing or decreasing: $(c) \;-2x^3-9x^2-12x+1$

asked Jul 9, 2013 by sreemathi.v

1 answer

Find the intervals in which the following functions are strictly increasing or decreasing: $(b) \;10-6x-2x^2$

asked Jul 9, 2013 by sreemathi.v

1 answer

If the normal to force is doubled, the coefficient of friction is

asked Jul 4, 2013 by meena.p

1 answer

The correct statement from the following is

asked Jun 20, 2013 by meena.p

1 answer

Determine P(E|F) when a coin is tossed three times, where E : at most two tails , F : at least one tail

asked Jun 18, 2013 by balaji.thirumalai

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Determine P(E|F) when a coin is tossed three times, where E : at least two heads , F : at most two heads

asked Jun 18, 2013 by balaji.thirumalai

1 answer

Determine P(E|F) when a coin is tossed three times, where E : head on third toss , F : heads on first two tosses

asked Jun 18, 2013 by balaji.thirumalai

1 answer

In a certain system, $1$ unit of time is $5\;sec,$ 1 unit of mass is $20 \;kg$ and 1 unit of length is $10 m$. In this system $1$ unit of power corresponds to

asked Jun 16, 2013 by meena.p

1 answer

The slope of the normal to the curve $y=3x^{2}$ at the point whose $x$ coordinate is $2$ is

asked May 15, 2013 by poojasapani_1

1 answer

Examine the applicability of Mean Value Theorem for all three functions given in $(iii)\;f (x) = x^2-1 \;for\; x \: \in [1,2]$

asked May 13, 2013 by sreemathi.v

1 answer

Examine the applicability of Mean Value Theorem for all three functions given in $(ii)\;f (x) = [x] \;for\; x \: \in [-2,2]$

asked May 13, 2013 by sreemathi.v

1 answer

Find the equations of the planes that passes through three points, $(b)\; (1, 1, 0), (1, 2, 1), (-2, 2, -1) $

asked May 13, 2013 by rvidyagovindarajan_1

1 answer

If $A$ is a scalar matrix with scalar $k \neq 0$ of order $3$ than $A^{-1}$ is

asked May 7, 2013 by poojasapani_1

1 answer

Resistance to motion,$F$, of a moving vehicle is given by,$F=\large\frac{5}{x}$$+100x.$ Determine the minimum value of resistance.

asked May 6, 2013 by poojasapani_1

1 answer

Find the equations of normal to $y=x^{3}-3x$ that is parallel to $2x+18y-9=0.$

asked May 3, 2013 by poojasapani_1

1 answer

At noon, ship $A$ is $100$ km west of ship $B$. Ship $A$ is sailing east at $35$ km/hr and ship $B$ is sailing north at $25$km/hr. How fast is the distance between the ships changing at $4.00$pm.

asked May 1, 2013 by poojasapani_1

1 answer

Find the area included between the parabola $y^{2}=4ax $ and its latus rectum.

asked Apr 27, 2013 by poojasapani_1

1 answer

Evaluate the following problems using properties of integration: $\int\limits_{\large\frac{-\pi}{4}}^{\large\frac{\pi}{4}}x \sin^{2}xdx$

asked Apr 27, 2013 by poojasapani_1

1 answer

If the hight of $300$ students are normally distributed with mean $64.5$ inches and standard deviation $3.3$ inches,find the hight below which $99\%$ of the student lie.

asked Apr 22, 2013 by poojasapani_1

1 answer

Three numbers are given whose sum is $180$ and the ratio between first two of them is $1: 2$.If the product of the number is greatest,find the numbers.

asked Apr 22, 2013 by sreemathi.v

1 answer

In a hurdle race a player has to cross $10$ hurdles. The probability that he will clear each hurdle is $\large\frac{5}{6}$. What is the probability that he will knock down less than $2$ hurdles.

asked Apr 21, 2013 by poojasapani_1

1 answer

The probability distribution of a random variable $x$ is given below: \[\] $\begin{array} {llllllll} \textbf{X:}& 0& 1& 2& 3 \\ \textbf{P(X=x):}& 0.1& 0.3 &0.5& 0.1& \end{array}$\[\] If $Y=X^{2}+2X$ find the mean and variance of $Y$.

asked Apr 20, 2013 by poojasapani_1

1 answer

For the p.d.f $f(x) = \left\{ \begin{array}{l l} cx(1-x)^{3}, & \quad \text{0 $<$ x$<$1}\\ 0 & \quad \text{elsewhere} \end{array} \right.$ \[\]Find $p(x<\large\frac{1}{2})$

asked Apr 19, 2013 by poojasapani_1

1 answer

For the p.d.f $f(x) = \left\{ \begin{array}{l l} cx(1-x)^{3}, & \quad \text{0 $<$ x$<$1}\\ 0 & \quad \text{elsewhere} \end{array} \right.$ \[\]Find the constant $c$

asked Apr 19, 2013 by poojasapani_1

1 answer

A closed circular cylinder has a volume of 2156c.c.What will be the radius of its base so that its total surface area is minimum.Find the height of the cylinder when its total surface area is minimum.

asked Apr 19, 2013 by sreemathi.v

1 answer

If $ \alpha$ and $\beta $ are the roots of $x^{2}-2x+4=0$. Prove that $\alpha ^{n}-\beta ^{n}=i2^{n+1}sin\large\frac{n\pi }{3}$ and calculate $\alpha ^{9}-\beta ^{9}$, where n $\in$ N?

asked Apr 18, 2013 by geethradh

1 answer

Calculate the area bounded by the curve $y=x(2-x)$ and the lines $x=0,y=0,x=2$.This area is rotated through four right angles about the $x$-axis.Calculate the volume of the solid so formed.

asked Apr 17, 2013 by sreemathi.v

0 answers

Prove that $\int_0^{\large\frac{\pi}{2}}\large\frac{3\sin\theta+4\cos\theta}{\sin\theta+\cos\theta}\normalsize d\theta=\large\frac{7\pi}{4}$

asked Apr 17, 2013 by sreemathi.v

0 answers

The region bounded by the curve $y^2=x(x-1)^2$,the x-axis and the lines $x=1,x=0$,is rotated through four right angles about the x-axis.Calculate the volume of the solid of revolution so formed.

asked Apr 16, 2013 by sreemathi.v

0 answers

Prove that $\int_0^{2\pi}\large\frac{x\cos x}{1+\cos x}\normalsize dx=2{\pi}^2.$

asked Apr 16, 2013 by sreemathi.v

0 answers

Solve the following differential equation;$\large\frac{d^{2}y}{dx^{2}}$$-3\large\frac{dy}{dx}$$+2y=2e^{3x}$ when $x =\log$$2$,$y=0,$ and when $x=0,y=0$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following. $\large\frac{dy}{dx}$$+xy\;=\;x$

asked Apr 16, 2013 by poojasapani_1

1 answer

Find the area enclosed by the curves $y^2=x$ and $y^2=4-3x$.

asked Apr 16, 2013 by sreemathi.v

1 answer

Evaluate : $\int_0^{\large \frac{\pi}{4}}\normalsize \log (1+\tan x)dx.$

asked Apr 16, 2013 by sreemathi.v

0 answers

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