Recent questions tagged q2-2

Write the converse and contra positive of the statement "I go to the beach whenever it is sunny day."

asked Aug 16, 2014 by rvidyagovindarajan_1

1 answer

Write the converse and contra positive statement of the statement " If the two lines are parallel then they do not intersect in the same plane."

asked Jul 21, 2014 by rvidyagovindarajan_1

1 answer

Identify the quantifier and and write the negation of the statement "For every real number $x, \:\:x$ is less that $x+1$."

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Are the pair of statements "The number $x$ is a rational number." and "The number $x$ is an irrational number." negation of each other?

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Examine if Rolle’s theorem is applicable to any of the following functions. Can you say some thing about the converse of Rolle’s theorem from these example? $ (ii)\;f (x) = [x] \; for\; x \: \in [-2,2]$

asked Aug 16, 2013 by sreemathi.v

1 answer

Find the maximum and minimum values, if any, of the following functions given by $ f (x) = -\mid x+1\mid+3$

asked Aug 6, 2013 by sreemathi.v

1 answer

Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

asked Jul 30, 2013 by sreemathi.v

1 answer

If $x=a+b$,$y=a\omega+b\omega^2,z=a\omega^2+b\omega$ show that (ii) $x^3+y^3+z^3=3(a^3+b^3)$ where $\omega$ is the complex cube root of unity.

asked Jun 12, 2013 by sreemathi.v

1 answer

Classify the following measures as scalars and vectors. $2$ meters north-west

asked May 16, 2013 by sreemathi.v

1 answer

Find the absolute maximum and absolute minimum values of $f$ on the given interval: $\;f(x)=1-2x-x^{2}, [-4 , 1 ]$

asked May 5, 2013 by poojasapani_1

1 answer

Find the area of the region bounded by the lines $x-2y-12=0 $ and $y$-axis,$y=-1$ and $y=-3$

asked Apr 27, 2013 by poojasapani_1

1 answer

Evaluate: $\int\limits_{0}^{\large\frac{\pi}{2}}\cos^{9} x dx $

asked Apr 27, 2013 by poojasapani_1

1 answer

If $u= e^{\large\frac{x}{y}}\sin\frac{x}{y}+e^{\large\frac{y}{x}}\cos\frac{y}{x},$ Show that $ x\large\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=u$

asked Apr 25, 2013 by poojasapani_1

1 answer

Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y$=$x^{4}-3x^{2}+x-1,x$$=2,dx$$=0.1$

asked Apr 24, 2013 by poojasapani_1

1 answer

If $Z$ is a standard normal variate. Find the value of $c$ for the following $P(-c < Z < c)=0.40$

asked Apr 22, 2013 by poojasapani_1

1 answer

If the probability of a defective fuse from a manufactuning unit is $2\%$ in a box of $200$ fuses find the probability that more than $3$ fuses are defective$ [e^{-4}=0.0183].$

asked Apr 21, 2013 by poojasapani_1

1 answer

Form the differential equuations by eliminating arbitary constants given in brackets against each. $y=ax^{2} +bx + c[a , b ]$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal at $(-2 , \large\frac{1}{4})$ to the rectangular hyperbola $ 2xy-2x-8y-1=0 $

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if its asymptotes are parallel to $x+2y-12=0$ and $x-2y+8=0, (2 , 4 ) $ is the centre of the hyperbola and it passes through $(2 , 0 )$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the ellipse $ x^{2} +4y^{2}=32 $ at $\theta=\large\frac{\pi}{4}$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation and the length of the transverse and conjugate axis of the following hyperbola: $8y^{2}-2x^{2}=16$

asked Apr 11, 2013 by poojasapani_1

1 answer

If a matrix has 7 elements, what are the possible order it can have?

asked Apr 10, 2013 by sreemathi.v

1 answer

Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs.$x^{2}=20y $

asked Apr 9, 2013 by poojasapani_1

1 answer

Can a vector have direction angles $45^{\circ}, 60^{\circ}, 120^{\circ}$?

asked Apr 6, 2013 by poojasapani_1

1 answer

Find the real and imaginary parts of the following complex numbers: $\large\frac{2+5i}{4-3i}$

asked Apr 1, 2013 by geethradh

1 answer

Let $f,\, g\, and\, h$ be functions from $R\, to\, R.$ Show that \[ (f . g) oh = (foh) . (goh)\]

asked Mar 19, 2013 by balaji.thirumalai

1 answer

Write Minors and Cofactors of the elements of following determinants: $ (ii) \quad \begin{vmatrix} 1&0&4 \\ 3&5&-1 \\ 0&1&2 \end{vmatrix} $

asked Mar 6, 2013 by sreemathi.v

1 answer

$ \text{Evaluate the determinants: } \text{(ii): } \begin{vmatrix} x^2-x+1&x-1\\x+1&x+1 \end{vmatrix}$

asked Mar 6, 2013 by sreemathi.v

1 answer

Check the injectivity and surjectivity of the following functions: $f : Z\to Z \;given\; by\; f(x)\; = x^2 $

asked Mar 5, 2013 by meena.p

1 answer

If $A = \begin{bmatrix} -1 & 2 & 3 \\ 5 & 7 & 9 \\ -2 & 1 & 1 \end{bmatrix}$ and $B = \begin{bmatrix} -4 & 1 & -5 \\ 1 & 2 & 0 \\ 1 & 3 & 1 \end{bmatrix} $then verify that $ (ii) (A-B)' = A' - B'$

asked Mar 5, 2013 by balaji.thirumalai

1 answer

In the matrix $A=\begin{bmatrix} a & 1 & x \\ 2 & \sqrt 3 & x^2 y \\ 0 & 5 & \frac{2}{5} \end{bmatrix} write:(ii) Element\; of \;the\; matrices.$

asked Mar 4, 2013 by sreemathi.v

1 answer

If a matrix has 13 elements,what are the possible orders it can have? (Note: This question has been split into 2 questions)

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Compute the following $\;\begin{bmatrix}a^2+b^2 & b^2+c^2\\a^2+c^2 & a^2+b^2\end{bmatrix}+\begin{bmatrix}2ab & 2bc\\-2ac & 2ab\end{bmatrix}$

asked Dec 6, 2012 by sreemathi.v

1 answer

Ask Questions, Get Answers

Write the converse and contra positive of the statement "I go to the beach whenever it is sunny day."

Write the converse and contra positive statement of the statement " If the two lines are parallel then they do not intersect in the same plane."

Identify the quantifier and and write the negation of the statement "For every real number $x, \:\:x$ is less that $x+1$."

Are the pair of statements "The number $x$ is a rational number." and "The number $x$ is an irrational number." negation of each other?

Examine if Rolle’s theorem is applicable to any of the following functions. Can you say some thing about the converse of Rolle’s theorem from these example? $ (ii)\;f (x) = [x] \; for\; x \: \in [-2,2]$

Find the maximum and minimum values, if any, of the following functions given by $ f (x) = -\mid x+1\mid+3$

Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

If $x=a+b$,$y=a\omega+b\omega^2,z=a\omega^2+b\omega$ show that (ii) $x^3+y^3+z^3=3(a^3+b^3)$ where $\omega$ is the complex cube root of unity.

Classify the following measures as scalars and vectors. $2$ meters north-west

Find the absolute maximum and absolute minimum values of $f$ on the given interval: $\;f(x)=1-2x-x^{2}, [-4 , 1 ]$

Find the area of the region bounded by the lines $x-2y-12=0 $ and $y$-axis,$y=-1$ and $y=-3$

Evaluate: $\int\limits_{0}^{\large\frac{\pi}{2}}\cos^{9} x dx $

If $u= e^{\large\frac{x}{y}}\sin\frac{x}{y}+e^{\large\frac{y}{x}}\cos\frac{y}{x},$ Show that $ x\large\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=u$

Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y$=$x^{4}-3x^{2}+x-1,x$$=2,dx$$=0.1$

If $Z$ is a standard normal variate. Find the value of $c$ for the following $P(-c < Z < c)=0.40$

If the probability of a defective fuse from a manufactuning unit is $2\%$ in a box of $200$ fuses find the probability that more than $3$ fuses are defective$ [e^{-4}=0.0183].$

Form the differential equuations by eliminating arbitary constants given in brackets against each. $y=ax^{2} +bx + c[a , b ]$

Find the equation of the tangent and normal at $(-2 , \large\frac{1}{4})$ to the rectangular hyperbola $ 2xy-2x-8y-1=0 $

Find the equation of the hyperbola if its asymptotes are parallel to $x+2y-12=0$ and $x-2y+8=0, (2 , 4 ) $ is the centre of the hyperbola and it passes through $(2 , 0 )$

Find the equation of the tangent and normal to the ellipse $ x^{2} +4y^{2}=32 $ at $\theta=\large\frac{\pi}{4}$

Find the equation and the length of the transverse and conjugate axis of the following hyperbola: $8y^{2}-2x^{2}=16$

If a matrix has 7 elements, what are the possible order it can have?

Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs.$x^{2}=20y $

Can a vector have direction angles $45^{\circ}, 60^{\circ}, 120^{\circ}$?

Find the real and imaginary parts of the following complex numbers: $\large\frac{2+5i}{4-3i}$

Let \(f,\, g\, and\, h\) be functions from \(R\, to\, R.\) Show that \[ (f . g) oh = (foh) . (goh)\]

Write Minors and Cofactors of the elements of following determinants: $ (ii) \quad \begin{vmatrix} 1&0&4 \\ 3&5&-1 \\ 0&1&2 \end{vmatrix} $

$ \text{Evaluate the determinants: } \text{(ii): } \begin{vmatrix} x^2-x+1&x-1\\x+1&x+1 \end{vmatrix}$

Check the injectivity and surjectivity of the following functions: \(f : Z\to Z \;given\; by\; f(x)\; = x^2 \)

If $A = \begin{bmatrix} -1 & 2 & 3 \\ 5 & 7 & 9 \\ -2 & 1 & 1 \end{bmatrix}$ and $B = \begin{bmatrix} -4 & 1 & -5 \\ 1 & 2 & 0 \\ 1 & 3 & 1 \end{bmatrix} $then verify that $ (ii) (A-B)' = A' - B'$

In the matrix $A=\begin{bmatrix} a & 1 & x \\ 2 & \sqrt 3 & x^2 y \\ 0 & 5 & \frac{2}{5} \end{bmatrix} write:(ii) Element\; of \;the\; matrices.$

If a matrix has 13 elements,what are the possible orders it can have? (Note: This question has been split into 2 questions)

Compute the following $\;\begin{bmatrix}a^2+b^2 & b^2+c^2\\a^2+c^2 & a^2+b^2\end{bmatrix}+\begin{bmatrix}2ab & 2bc\\-2ac & 2ab\end{bmatrix}$