Recent questions tagged sec-b

Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(xii)\;(26.57)^{\Large\frac{1}{3}}$

asked Aug 5, 2013 by sreemathi.v

1 answer

Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(xi)\;(0.0037)^{\Large\frac{1}{2}}$

asked Aug 5, 2013 by sreemathi.v

1 answer

Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(x)\;(401)^{\Large\frac{1}{2}}$

asked Aug 5, 2013 by sreemathi.v

1 answer

Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(ix)\;(82)^{\Large\frac{1}{4}}$

asked Aug 5, 2013 by sreemathi.v

1 answer

Using differentials, find the approximate value of each of the following up to $3$ places of decimal. $(255)^{\Large\frac{1}{4}}$

asked Aug 5, 2013 by sreemathi.v

1 answer

Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(vii)\;(26)^{\Large\frac{1}{3}}$

asked Aug 5, 2013 by sreemathi.v

1 answer

Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(vi)\;(15)^{\Large\frac{1}{4}}$

asked Aug 5, 2013 by sreemathi.v

1 answer

Using differentials, find the approximate value of each of the following up to $3$ places of decimal. $(0.999)^{\Large\frac{1}{10}}$

asked Aug 5, 2013 by sreemathi.v

1 answer

Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(0.009)^{\Large\frac{1}{3}}$

asked Aug 5, 2013 by sreemathi.v

1 answer

Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(iii)\;\sqrt{0.6}$

asked Aug 5, 2013 by sreemathi.v

1 answer

Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(ii)\;\sqrt{49.5}$

asked Aug 5, 2013 by sreemathi.v

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

Solve the following differential equation :$x\large\frac{dy}{dx}$$-y=\sqrt{x^2+y^2}$.

asked Jul 16, 2013 by sreemathi.v

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 equation of the tangent line to the curve $y = x^2 - 2x +7$ which is $(b)\; perpendicular\; to\; the\; line\; 5y-15x=13$

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: $ (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: $ (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

Find points on the curve$ \large\frac{x^2}{9} + \frac{y^2}{16} = 1$ at which the tangents are $(ii)\; parallel\; to\; y - axis$

asked Jul 11, 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

1 answer

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

1 answer

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 $x^my^n=(x+y)^{m+n}$,Prove that $(ii)\;\large\frac{d^2y}{dx^2}=$$0$

asked Jul 3, 2013 by sreemathi.v

1 answer

One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent? (i) E : the card drawn is a spade F : the card drawn is an ace (ii) E : the card drawn is black F : the card drawn is a king (iii) E : the card drawn is a king or queen F : the card drawn is a queen or jack.

asked Jun 19, 2013 by balaji.thirumalai

1 answer

Find the angle between the pairs of lines: $ \overrightarrow r = 3\hat i + \hat j -2\hat k + \lambda (\hat i - \hat j -2\hat k)\: and \: \overrightarrow r = 2\hat i - \hat j-56 \hat k+ \mu (3 \hat i -5\hat j - 4\hat k) $

asked Jun 5, 2013 by meena.p

1 answer

(n+2)! = 60(n-1)!

asked Jun 4, 2013 by munluohaupu

1 answer

Find the position vector of a point $R$ which divides the line joining two points $P$ and $Q$ whose position vectors are $ \hat i + 2\hat j − \hat k$ and $– \hat i + \hat j + \hat k$ respectively, in the ratio $2 : 1$ externally

asked May 20, 2013 by sreemathi.v

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

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

Find the angle between the following pair of lines: $ \frac{\large x}{\large 2} = \frac{\large y}{\large 2} = \frac{\large z}{\large 1} \: and\: \frac{\large x-5}{\large 4} = \frac{\large y-2}{\large 1} = \frac{\large z - 3}{\large 8} $

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

Find the angle between the pairs of lines: $ \overrightarrow r = 3\hat i + \hat j - 2\hat k + \lambda (\hat i - \hat j - 2\hat k)\: and \: \overrightarrow r = 2\hat i - \hat j - 56\hat k + \mu (3\hat i - 5\hat j - 4\hat k) $

asked Apr 30, 2013 by rvidyagovindarajan_1

1 answer

Using vector method prove that : $d)\;\cos (A+B)=\cos A\cos B+\sin A\sin B$

asked Apr 22, 2013 by sreemathi.v

1 answer

Using vector method prove that : $c)\;\cos (A+B)=\cos A\cos B-\sin A\sin B$

asked Apr 22, 2013 by sreemathi.v

1 answer

Using vector method prove that : $b)\;\sin (A-B)=\sin A\cos B-\cos A\sin B$

asked Apr 22, 2013 by sreemathi.v

1 answer

Prove that every element a in Boolean algebra has a unique inverse.

asked Apr 22, 2013 by sreemathi.v

0 answers

$x,y$ and $z$ represent three switches in an position and $x^1,y^1$ and $z^1$ represent the three switches in an off position.Construct a switching circuit representing the polynomial $(x^1+y^1)(x+z^1)+y^1(y+z)$.Using the laws of Boolean algebra,show that the above polynomial is equivalent to $x^1z^1+y^1$ and construct an equivalent switching circuit.

asked Apr 22, 2013 by sreemathi.v

0 answers

Find the value of $x$,if $1\ast(x\ast 2)=8$,where the operation $\ast$ is defined by $a\ast b=a+b+\large\frac{ab}{2}\normalsize,\forall a,b,\in R$.

asked Apr 22, 2013 by sreemathi.v

0 answers

A set $S=\{x : x\in R,x\neq -2 \}$ is given.A binary operation $ \ast $ on S is defined by $a \ast b=a+b+\large\frac{ab}{2}\normalsize,\forall a,b,\in R$.Prove that $(S,\ast)$ is an abelian group.

asked Apr 22, 2013 by sreemathi.v

0 answers

Find the volume of the parallelopiped whose three co-terminus edges are represented by the vectors $\hat{i}+\hat{j}+\hat{k},\hat{i}-\hat{j}+\hat{k}$ and $\hat{i}+2\hat{j}-\hat{k}$

asked Apr 22, 2013 by sreemathi.v

0 answers

The position vectors of the vertices of a triangle are given as $2\hat{i}-\hat{j}+\hat{k},\hat{i}-3\hat{j}-5\hat{k}$ and $3\hat{i}-4\hat{j}-4\hat{k}$.Prove that it is a right-angled triangle.

asked Apr 22, 2013 by sreemathi.v

0 answers

If $\large\overrightarrow a\:and\:\overrightarrow b$ are unit vectors then prove that $ \large\frac{1}{2}|\overrightarrow a-\overrightarrow b|=sin\frac{\theta}{2}.$

asked Apr 19, 2013 by rvidyagovindarajan_1

1 answer

If a,b,c are elements of Boolean Algebra,prove that $ab+c(a'+b')=ab+c$.

asked Apr 19, 2013 by sreemathi.v

0 answers

Write the Boolean expression for the following circuit :

asked Apr 19, 2013 by sreemathi.v

0 answers

Prove the right cancellation law in a group.

asked Apr 19, 2013 by sreemathi.v

0 answers

Consider the non empty set S={0,1,2,3,4}.Show that $(S,\oplus_5)$ is a group where $\oplus_5$ represents addition modulo 5.Also find 'x' if $x\oplus_5$ 3=4,$x\in S$.

asked Apr 19, 2013 by sreemathi.v

0 answers

Find the unit vector perpendicular to the two vectors $\overrightarrow{i}+2\overrightarrow{j}-\overrightarrow{k}$ and $2\overrightarrow{i}+3\overrightarrow{j}+\overrightarrow{k}$.

asked Apr 19, 2013 by sreemathi.v

0 answers

Show that the sum of the squares on the sides a parallelogram is equal to the sum of the squares on the diagonals of the parallelogram.

asked Apr 19, 2013 by sreemathi.v

0 answers

The average number,in lakhs,of working days lost in strikes during each year of the period 1981-90 was :

asked Apr 18, 2013 by sreemathi.v

0 answers

Calculate the index number for the year 1979 with 1970 as base from the following data using weighted average of price relatives :

asked Apr 18, 2013 by sreemathi.v

0 answers

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