Recent questions tagged q14

The $pK_a$ of a certain weak acid is $4.0.$ What should be the [salt] to [acid] ratio, if we have to prepare a buffer with a $pH=5$ using the acid and one of the salts?

asked Sep 11, 2013 by meena.p

1 answer

A body freely falling from rest has a velocity $\mathit{v}\;$ after it falls through a distance $\mathit{h}\;$. The distance it has to fall down further, for its velocity to become double, is .................. times $\mathit{h}\;$.

asked Sep 11, 2013 by meena.p

0 answers

The work done to get n smaller equal size spherical drops from a bigger size spherical drop of water is proportional to :

asked Sep 10, 2013 by meena.p

1 answer

What is the product of the following reaction :

asked Aug 26, 2013 by sreemathi.v

1 answer

Allyl chloride on dehydrochlorination gives

asked Aug 23, 2013 by sreemathi.v

1 answer

If radius of the earth were to shrink by one percent, its mass remaining same the value of g on the earth's surface would

asked Aug 10, 2013 by meena.p

1 answer

Differentiate $( x \cos \: x )^x + ( x\sin\: x )^{\Large\frac{1}{x}}$ w.r.t. $ x $.

asked Jul 25, 2013 by sreemathi.v

1 answer

A chain of mass M is placed on a smooth table with $\large\frac{1}{n}$$^{th}$ of its length L hanging over the edge. The work done in pulling the hanging portion of chain back to the surface of table is

asked Jul 17, 2013 by meena.p

1 answer

If $\tan\bigg(\large\frac{x^2-y^2}{x^2+y^2}\bigg)$$=a$,then prove that $\large\frac{dy}{dx}=\frac{y}{x}$.

asked Jul 14, 2013 by sreemathi.v

1 answer

Find the equations of the tangent and normal to the given curves at the indicated points: $ (v) \: x = \cos t,y=\sin t\; at \;(t=\large\frac{\pi}{4})$

asked Jul 11, 2013 by sreemathi.v

1 answer

Find the equations of the tangent and normal to the given curves at the indicated points: $ (iv) \: y = x^2\; at \;(0, 0)$

asked Jul 11, 2013 by sreemathi.v

1 answer

Find the equations of the tangent and normal to the given curves at the indicated points: $ (iii) \: y = x^3\; at \;(1, 1)$

asked Jul 11, 2013 by sreemathi.v

1 answer

Find the equations of the tangent and normal to the given curves at the indicated points: $ (ii) \: y = x^4 - 6x^3 + 13x^2 - 10x + 5\; at \;(1, 3)$

asked Jul 11, 2013 by sreemathi.v

1 answer

A shell of mass 'M' moving with velocity 'V' suddenly explodes into two fragments. One of the mass 'm' is reduced to rest. Find the velocity of the other fragment.

asked Jul 5, 2013 by meena.p

1 answer

The value of Kinetic energy $K$ and potential energy $V$ are measured as follows $K=100.0 \pm 2.0\; I \quad V=200.0 \pm 1.0\; I$. What is the percentage error in measurement of mechanical energy ?

asked Jun 17, 2013 by meena.p

1 answer

In the following cases,find the distance of each of the given points from the corresponding given plane $(c)\;$Point (2,3,-5);Plane $(x+2y-2z-9=0)$

asked Jun 4, 2013 by sreemathi.v

1 answer

In the following cases,find the distance of each of the given points from the corresponding given plane $(b)\;$Point (3,-2,1);Plane $(2x-y+2z+3=0)$

asked Jun 4, 2013 by sreemathi.v

1 answer

In the following cases,find the distance of each of the given points from the corresponding given plane (d)Point(-6,0,0),Plane $2x-3y+6z-2=0$

asked May 23, 2013 by rvidyagovindarajan_1

1 answer

If the length of the diagonal of a square is increasing at the rate of $0.1 cm/sec.$ What is the rate of increase of its area when the side is $\large\frac{15}{\sqrt{2}} $cm?

asked May 15, 2013 by poojasapani_1

1 answer

If $A$=$\begin{bmatrix} 0 & 0 \\0 & 5 \end{bmatrix}$, then $A^{12}$ is

asked May 7, 2013 by poojasapani_1

1 answer

Find the volume of the solid that results when the region enclosed by the given curve: $(11$$to14)$$\large\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ is revolved about major axis $a>b>0.$

asked Apr 30, 2013 by poojasapani_1

1 answer

Find the locus of a complex number $z=x+iy$ satisfying the relation $\mid12z+3i\mid\geq \mid 2z+5\mid$.Illustrate the locus in the Argand plane.

asked Apr 22, 2013 by sreemathi.v

0 answers

Solve : $\large\frac{dy}{dx}=\frac{(1+\cos ^2x)\sin^2y}{(1+\sin^2y)\cos^2x}$

asked Apr 22, 2013 by sreemathi.v

0 answers

If $z=x+iy$ and $\mid 2z+1\mid=\mid z-2i\mid$ show that $3(x^2+y^2)+4(x+y)=3.$

asked Apr 19, 2013 by sreemathi.v

0 answers

Solve the differential equation $2\large\frac{dy}{dx}\normalsize=\large\frac{y}{x}\normalsize+\large\frac{y^2}{x^2}$ by substituting $y=vx$.

asked Apr 19, 2013 by sreemathi.v

0 answers

A company is selling a certain product.The demand function of the product is linear.The company can sell 2000 units when the price is Rs.8 per unit and when the price is Rs.4 per unit,it can sell 3000 units,Determine :

asked Apr 18, 2013 by sreemathi.v

1 answer

How much should a company set aside at the end of each year if it has to buy a machine expected to cost Rs.100,000 at the end of 4 years and the rate of interest is 5% per annum compounded annually?

asked Apr 18, 2013 by sreemathi.v

0 answers

A television manufacturer finds that the total cost for the production and marketing of $x$ number of television sets is : $c(x)=300x^2+4200x+13,500.$Each product is sold for Rs.8,400.Determine the break-even points.

asked Apr 17, 2013 by sreemathi.v

2 answers

Mr.Agarwal buys goods worth Rs.2,800 payable 8 months. Hence he pays Rs.400 at the end of the second month and Rs.600 at the end of the third month.Find the number of months after which the balance will become due.

asked Apr 17, 2013 by sreemathi.v

0 answers

Solve the following differential equation; $(3D^{2}+4D+1)$$y=3e^{-\Large\frac{x}{3}}$

asked Apr 16, 2013 by poojasapani_1

1 answer

The fixed cost of a new product is Rs.18,000 and the variable cost is Rs.550 per unit.If the demand function $p(x)=4000-150x$,find break even points.

asked Apr 16, 2013 by sreemathi.v

1 answer

Mr.Mohan took a loan of Rs. 7,500 on 1st Jan.2005 and agreed to pay Rs.2,250 after 1month,Rs.2,400 after 3 months,Rs.3000 after 4 months and Rs.750 after 5 months in full redemption of his debit.Find the rate of interest charged.

asked Apr 16, 2013 by sreemathi.v

0 answers

The average cost function associated with producing and marketing $x$ units of an item is given by $AC=2x-11+\large\frac{50}{x}$.Find : (i) The total cost function and marginal cost function. (ii) The range of values of the output $x$ for which AC is increasing.

asked Apr 15, 2013 by sreemathi.v

0 answers

A manufacturer produces two types of steel trunks.He has two machines,A and B.The first type of trunk requires 3 hours on machine A and 3 hours on machine B.The second type requires 3 hours on machine A and 2 hours on machine B.Machines A and B can work at most for 18 hours and 15 hours per day respectively.He earns a profit of Rs. 30 per trunk on the first type of trunk and Rs. 25 per trunk on the second type.Formulate a Linear Programming Problem to find out how many trunks of each type he must make each day to maximise his profit.

asked Apr 15, 2013 by sreemathi.v

1 answer

The cost of manufacturing of certain items consists of Rs. 1600 as overheads,Rs. 30 per item as the cost of the material and the labour cost $Rs. \large\frac{x^2}{100}$ for x items produced.How many items must be produced to have a minimum average cost?

asked Apr 15, 2013 by sreemathi.v

0 answers

A new cereal,formed of a mixture of bran and rice,contains at least 88 grams of protein and at least 36 milligrams of iron.Knowing that bran contains 80 grams of protein and 40 milligrams of iron per kilogram,and rice contains 100 grams of protein and 30 milligrams of iron per kilogram,find the minimum cost of producing a kilogram of this new cereal if bran costs Rs. 28 per kilogram and rice costs Rs. 25 per kilogram.

asked Apr 15, 2013 by sreemathi.v

0 answers

The average cost function AC for a commodity is given by $AC=x+5+\large\frac{36}{x}$ in terms of output x.Find the :

asked Apr 12, 2013 by sreemathi.v

0 answers

A bill of exchange for Rs. 722 was drawn on the 3rd April,2009,payable three months after date.It was discounted on 15th April,2009 at 4.75% per annum.What was the discounted value of the bill?

asked Apr 12, 2013 by sreemathi.v

0 answers

Given that the total cost function for x units of a commodity is : $C(x)=\large \frac{x^3}{3}\normalsize +3x^2-7x+16$

asked Apr 11, 2013 by sreemathi.v

1 answer

If the difference between Banker's discount and True discount of a bill for 73 days at 5% per annum is Rs.10,find (i) the amount of the bill (ii) the banker's discount.

asked Apr 11, 2013 by sreemathi.v

0 answers

If total cost function is given by $C=a+bx+cx^2$,where x is the quantity of output.Show that : $\frac{d}{dx}(AC)=\frac{1}{x}(MC-AC),$where $MC$ is the marginal cost and $AC$ is the average cost.

asked Apr 10, 2013 by sreemathi.v

1 answer

A bill of Rs. 1000 drawn on 7th May,2011 for six months was discounted on 29th August,2011 for cash payment of Rs. 988.Find the rate of interest charged by the bank.

asked Apr 10, 2013 by sreemathi.v

0 answers

Derive the equation of the plane in the intercept form.

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the projection of $\overrightarrow{3i}+\overrightarrow{j}-\overrightarrow{k}$ on $\overrightarrow{4i}-\overrightarrow{j}+\overrightarrow{2k}$

asked Apr 3, 2013 by poojasapani_1

1 answer

Find the projection of $\overrightarrow{i}+\overrightarrow{2j}-\overrightarrow{2k}$ on $\overrightarrow{2i}-\overrightarrow{j}+ \overrightarrow{5k}$

asked Apr 3, 2013 by poojasapani_1

1 answer

Find the projection of $\overrightarrow{i}-\overrightarrow{j}$ on $z$ axis

asked Apr 3, 2013 by poojasapani_1

1 answer

Evaluate :$\int\limits_0^{2{\pi}}\large\frac{1}{1+e^{sin x}}$$dx$

asked Mar 20, 2013 by sreemathi.v

1 answer

If $y^x=e^{y-x}$,prove that $\large \frac{dy}{dx}=\frac{(1+log y)^2}{log y}$

asked Mar 20, 2013 by sreemathi.v

1 answer

Solve the following equation :$\cos\big(tan^{-1}x\big)=sin\bigg(cot^{-1}\frac{3}{4}\bigg)$

asked Mar 20, 2013 by sreemathi.v

1 answer

Show that: $tan\bigg(\frac{1}{2}sin^{-1}\frac{3}{4}\bigg)=\frac{4-\sqrt 7}{3}$

asked Mar 20, 2013 by sreemathi.v

1 answer

Ask Questions, Get Answers