Recent questions tagged q7

The value of escape velocity on a certain planet is $ 2 km/s$ then the value of arbital speed for a satellite arbiting close to its surface is

asked Aug 9, 2013 by meena.p

1 answer

A block of mass 5 kg is being raised vertically upward by the help of a string attached to it. It rises with an acceleration of $2m/s^2$. The block rises by 2.5 m .the work done by tension and work done against gravity are respectively

asked Jul 17, 2013 by meena.p

1 answer

Form the differential equation representing the family $y^2-2ay+x^2=a^2$ where $a$ is an arbitrary constant.

asked Jul 16, 2013 by sreemathi.v

1 answer

The length $x$ of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When $x = 8$ cm and $y = 6$ cm, find the rates of change of (b) the area of the triangle.

asked Jul 5, 2013 by sreemathi.v

1 answer

A particle moves along a semicircle of radius 10 m in 5 seconds. The average velocity of the particle in m/s is?

asked Jun 20, 2013 by meena.p

1 answer

Determine P(E|F) when Two coins are tossed once, where E : no tail appears, F : no head appears

asked Jun 18, 2013 by balaji.thirumalai

1 answer

The unit of L / R is (L=inductance and R=resistance)

asked Jun 17, 2013 by meena.p

1 answer

The point on the curve $y=3x^{2}-6x-4$ at which the tangent is parallel to the $x$ -axis is

asked May 15, 2013 by poojasapani_1

1 answer

If the matrix $\begin{bmatrix} -1 & 3 & 2 \\1 & k & -3 \\1 & 4 & 5 \end{bmatrix}$ has an inverse than the value of $k$

asked May 7, 2013 by poojasapani_1

1 answer

Let $P$ be a point on the curve $y=x^{3}$ and suppose that the tangent line at $P$ intersects the curve again at $Q$. Prove that the slope at $Q$ is four times the slope at $P$.

asked May 3, 2013 by poojasapani_1

1 answer

Two sides of a tringle are $4$m and $5$m in length and the angle between them is increasing at a rate of $0.06$ rad/sec. Find the rate at which the area of tringle is increasing when the angle between the sides of fixed length is $\pi/3$.

asked May 1, 2013 by poojasapani_1

1 answer

Find the area of the region bounded by the ellipse $\large\frac{x^{2}}{9}+\frac{y^{2}}{5}$$=1$ between the two latus rectums.

asked Apr 27, 2013 by poojasapani_1

1 answer

Evaluate the following problems using properties of integration: $\int\limits_{0}^{1}\log\large(\frac{1}{x}$$-1)$$dx$

asked Apr 27, 2013 by poojasapani_1

1 answer

Evaluate the following problems using second fundamental theorem: $\int\limits_{1}^{2}\large\frac{dx}{x^{2}+5x+6}$

asked Apr 27, 2013 by poojasapani_1

1 answer

Marks in an aptitude test given to $800$ students of a school was found to be normally distributed. $10\%$ of the students scored below $40$ marks and $10\%$ of the students scored above $90$ marks. Find the number of students scored between $40$ and $90$.

asked Apr 23, 2013 by poojasapani_1

1 answer

If $y=e^{m\cos^{-1}x}$,prove that $(1-x^2)\large\frac{d^2y}{dx^2}-\normalsize x\large\frac{dy}{dx}\normalsize=m^2y.$

asked Apr 22, 2013 by sreemathi.v

0 answers

Show that the area included between the $x$-axis and the curve $a^2y=x^2(x+a)$ is $\large\frac{a^2}{12}$.

asked Apr 22, 2013 by sreemathi.v

0 answers

Find the mean and variance for the following probability density functions $f(x) = \left\{ \begin{array}{l l} xe^{-x}, & \quad \text{if $x$$>$0}\\ 0, & \quad \text{otherwise} \end{array} \right.$

asked Apr 20, 2013 by poojasapani_1

1 answer

Find the mean and variance for the following probability density functions $f(x) = \left\{ \begin{array}{l l} \alpha e^{-\alpha x} ,& \quad \text{if $x$$>$$0$}\\ 0 ,& \quad \text{otherwise} \end{array} \right.$

asked Apr 20, 2013 by poojasapani_1

1 answer

Find the mean and variance for the following probability density functions $f(x) = \left\{ \begin{array}{l l} \frac {1}{24} ,& \quad \text{-12$\leq$$ x$$\leq $$12$}\\ 0, & \quad \text{otherwise} \end{array} \right.$

asked Apr 20, 2013 by poojasapani_1

1 answer

The probability density function of a random variable $x$ is $f(x) = \left\{ \begin{array}{l l} kx^{\alpha-1}e^{-\beta\;x^{\alpha}}, & \quad \text{x,$\alpha$$,\beta$>$0$}\\ 0 ,& \quad \text{elsewhere} \end{array} \right.$, Find $p(x$>$10)$

asked Apr 19, 2013 by poojasapani_1

1 answer

The probability density function of a random variable $x$ is $f(x) = \left\{ \begin{array}{l l} kx^{\alpha-1}e^{-\beta\;x^{\alpha}}, & \quad \text{x,$\alpha$$,\beta$>$0$}\\ 0 ,& \quad \text{elsewhere} \end{array} \right.$ \[\] Find $k$

asked Apr 19, 2013 by poojasapani_1

1 answer

If $x=\sin^3t$ and $y=a\cos^3t$,find $\large\frac{dy}{dx}$.

asked Apr 19, 2013 by sreemathi.v

0 answers

Sketch and shade the area of the region lying in the first quadrant and bound by $y=9x^2,x=0,y=1$ and $y=4$.Find the area of the shaded region.

asked Apr 19, 2013 by sreemathi.v

0 answers

If $x +\large\frac{1}{x} = $$2\; cos\;\theta $ prove that $x^{n} -\large \frac{1}{x^{n}}= $$2i\; sin\;n\theta $

asked Apr 18, 2013 by geethradh

1 answer

If $\; x+\large\frac{1}{x}= $$\;2\;\cos\;\theta \; $ prove that $\;x^{n}+\large\frac{1}{x^{n}}$$= \;2\;\cos\;n\theta\; $

asked Apr 18, 2013 by geethradh

1 answer

There are two series of index numbers : P for price index and S for stock of a commodity.The mean and standard deviation of P are 100 and 8 and of S are 103 and 4 respectively.The correlation coefficient between the two series is 0.4,with these data,obtain the regression lines of P on S and S on P.

asked Apr 17, 2013 by sreemathi.v

1 answer

Internal and External assessments were conducted on a group of 10 students who were studying in a post graduate class in a college.The following marks were obtained in the assessments :

asked Apr 17, 2013 by sreemathi.v

0 answers

The following table shows the sales and advertisement expenditure of a firm :

asked Apr 16, 2013 by sreemathi.v

1 answer

Calculate Spearman's rank correlation coefficient between the advertisement cost and sales from the following data :

asked Apr 16, 2013 by sreemathi.v

1 answer

Solve the following differential equation; $(D^{2}+3D-4)$$y=x^{2}$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following. $dx+x\;dy=e^{-y}\;\sec^{2}y\;dy$

asked Apr 16, 2013 by poojasapani_1

1 answer

Given two regression lines $4x+3y+7=0$ and $3x+4y+8=0$,determine :

asked Apr 16, 2013 by sreemathi.v

0 answers

Calculate the coefficient of correlation between X and Y from the following data using Karl Pearson's method :

asked Apr 16, 2013 by sreemathi.v

1 answer

Solve the following $(x+y)^2 \large\frac{dy}{dx}$=$1$

asked Apr 15, 2013 by poojasapani_1

1 answer

The data for marks in Physics and History obtained by ten students are given below :

asked Apr 15, 2013 by sreemathi.v

0 answers

The data for marks in Physics and History obtained by ten students are given below :

asked Apr 15, 2013 by sreemathi.v

0 answers

Prove that the tangent at any point to the rectangular hyperbola forms with the asymptotes a tringle of constant area.

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the equation to the chord of contact of tangents from the point $(5 , 3 )$ to the hyperbola $4x^{2}-6y^{2}=24$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation to the chord of contact of tangents from the point $(2 , 4 )$ to the ellipse $2x^{2}+5y^{2}=20$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation to the chord of contact of tangents from the point $(-3 , 1 )$ to the parabola $y^{2}=8x$

asked Apr 13, 2013 by poojasapani_1

1 answer

If the two regression lines of a bivariate distribution are $4x-5y+33=0$ and $20x-9y-107=0$,

asked Apr 12, 2013 by sreemathi.v

1 answer

An examination of 8 applicants for a clerical post was taken by a firm.The marks obtained by the applicants in the Reasoning and Aptitude tests are given below :

asked Apr 12, 2013 by sreemathi.v

2 answers

Calculate Spearman's coefficient of rank correlation from the following data and interpret the result :

asked Apr 12, 2013 by sreemathi.v

0 answers

Find the equations of the two lines of regression for the following observations : $(3,6),(4,5),(5,4),(6,3),(7,2).$Find an estimate of $y$ for $x$ =2.5.

asked Apr 12, 2013 by sreemathi.v

0 answers

Compute Karl Pearson's Coefficient of correlation between sales and expenditures of a firm for six months

asked Apr 11, 2013 by sreemathi.v

1 answer

The following observations are given : $(1,4),(2,8),(3,2),(4,12),(5,10),(16,14),(7,16),(8,6),(9,18)$.Estimate the value of $y$ when the value of $x$ when the value of $y=5$.

asked Apr 11, 2013 by sreemathi.v

0 answers

A kho-kho player in a practice session while running realises that the sum of the distances from the two kho-kho poles from him is always $8m$ .Find the equation of the path traced by him if the distance between the poles is $6m$.

asked Apr 11, 2013 by poojasapani_1

1 answer

The following results were obtained with respect to two variable x and y :$\sum x=30,\sum y=42,\sum xy=199,\sum x^2=184,\sum y^2=318,n=6.$

asked Apr 10, 2013 by sreemathi.v

1 answer

Ten candidates received percentage marks in two marks in two subjects as follows:

asked Apr 10, 2013 by sreemathi.v

0 answers

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