Recent questions tagged q1-3

Write the negation of the statement " For every real number $x$, either $x$ is >1 or <1."

asked Aug 4, 2014 by rvidyagovindarajan_1

1 answer

Show that the statement " If $x$ is real number such that $x^3+4x=0$, then $x$ is 0." is true using contra positive method.

asked Jul 26, 2014 by rvidyagovindarajan_1

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Identify the connecting word and and write the components of the statement "The sand heats up quickly in the Sun and does not cool down fast at night"

asked Jul 16, 2014 by rvidyagovindarajan_1

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Write the negation of "All triangles are not equilateral triangle."

asked Jul 14, 2014 by rvidyagovindarajan_1

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The sum of $5$ and $7$ is greater than $10$. Is this a statement? Give reason.

asked Jul 3, 2014 by rvidyagovindarajan_1

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Find the distance between the points $(-1,3,-4)$ and $(1,-3,-4)$

asked Apr 16, 2014 by rvidyagovindarajan_1

1 answer

Use the truth table to establish which of the following statements are tautologies and which are contradictions.

asked Sep 13, 2013 by sreemathi.v

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Find the maximum and minimum values, if any, of the following functions given by?$f(x)=-(x-1)^2+10$

asked Aug 6, 2013 by sreemathi.v

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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

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For each of the differential equations given below,indicate its order and degree(if defined) $(iii)\;\large\frac{d^4y}{dx^4}-\sin\big(\large\frac{d^3y}{dx^3}\big)$$=0$

asked Jul 29, 2013 by sreemathi.v

1 answer

Find the equation of the hyperbola if centre: $(0 , 0 )$ length of the semi-transverse axis is $6; e=3$ and the transverse axis is parallel to $y$-axis.

asked Jun 19, 2013 by sreemathi.v

1 answer

Find all the value of the following : $(-\sqrt 3-i)^{\large\frac{2}{3}}$

asked Jun 12, 2013 by sreemathi.v

1 answer

Compute the magnitude of the following vectors: $(iii)\;\overrightarrow c = \large\frac{1}{\sqrt 3}$$\hat i +\large \frac{1}{\sqrt 3}$$\hat j - \large\frac{1}{\sqrt 3}$$\hat k$

asked May 16, 2013 by sreemathi.v

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0}\large\frac{\sin ^{-1} x}{x}$

asked May 6, 2013 by poojasapani_1

1 answer

Find the intervals of concavity and the points of inflection of the following functions: $f(x)=2x^{3}+5x^{2}-4x$

asked May 6, 2013 by poojasapani_1

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Find the critical numbers and stationary points of each of the following functions.$\;f(x)=x^{4/5}(x-4)^{2}$

asked May 5, 2013 by poojasapani_1

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Prove the following inequalities: $\tan ^{-1}x < x$ for all $x>0$

asked May 4, 2013 by poojasapani_1

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Obtain the Maclaurin's series expansion for:$\;\large\frac{1}{1+x}$

asked May 4, 2013 by poojasapani_1

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Verify Lagrange's theorem for the following function;\[\] $f(x)=2x^{3}+x^{2}-x-1\quad [0,2]$

asked May 3, 2013 by poojasapani_1

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Verify Rolle's theorem for the following functions; $f(x)=|x-1|,0\leq x\leq 2.$

asked May 3, 2013 by poojasapani_1

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Find the equation of the tangent and normal to the curves.$\;y=2\sin^{2} 3x$ at $\;x=\large\frac{\pi}{6}$

asked May 1, 2013 by poojasapani_1

1 answer

A missile fired from ground level rises $x$ metres vertically upwards in $t$ seconds and $x=100t-\large\frac{25}{2}t^{2}$ find the maximum hight reached .

asked Apr 30, 2013 by poojasapani_1

1 answer

Verify $\large\frac{\partial ^{2} y}{\partial x\partial y}=\frac{\partial ^{2} y}{\partial y\partial x}$ for the following function;$\;u=\sin 3x\cos4y$

asked Apr 25, 2013 by poojasapani_1

1 answer

Find the differential of the functions. $y$=$\sqrt{x^{4}+x^{2}+1}$

asked Apr 24, 2013 by poojasapani_1

1 answer

If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing. $P(65\leq$X$\leq$100$)$

asked Apr 22, 2013 by poojasapani_1

1 answer

If $x^yy^x$=5 show that $\large\frac{dy}{dx}=-\begin{pmatrix}\large\frac{\log y+\Large\frac{y}{x}}{\log x+\Large\frac{x}{y}}\end{pmatrix}$

asked Apr 18, 2013 by sreemathi.v

0 answers

Find the foci and latus rectum for the hyperbola $\large\frac{x^2}{4}-\frac{y^2}{5}=\frac{1}{2}$

asked Apr 17, 2013 by sreemathi.v

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A straight line $2x+y+p=0$ is a focal chord of the parabola $y^2=-8x$.Find the value of $p.$

asked Apr 16, 2013 by sreemathi.v

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Find the equation of the parabola having focus at (3,-4) and directrix as $x+y=2.$

asked Apr 16, 2013 by sreemathi.v

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Find the equation of the normal to the ellipse $5x^2+3y^2=137$ at the point where the ordinate is 2.

asked Apr 15, 2013 by sreemathi.v

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Find the order and degree of the following differential equation: $y''+3y'^{2}+y^{3}$=$0$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the equations of the tangents of the parabola $y^2+12x=0$ from the point (3,8).

asked Apr 12, 2013 by sreemathi.v

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Show that the line $y=x+\sqrt 7$ touches the hyperbola $9x^2-16y^2=144.$

asked Apr 11, 2013 by sreemathi.v

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Find the equation of the tangent and normal to the parabola $x^{2}+2x-4y+4=0$ at $(0 , 1 )$

asked Apr 11, 2013 by poojasapani_1

1 answer

Solve for x : $\sin(2\tan^{-1}x)=1$

asked Apr 11, 2013 by sreemathi.v

0 answers

Find the equation of the ellipse if the foci are $(\pm 3 , 0 )$ and the vertices are $(\pm 5 , 0)$

asked Apr 10, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola whose Transverse and Conjugate axes are the x and y axes respectively,given that the length of conjugate axis is 5 and distance between the foci is 13.

asked Apr 10, 2013 by sreemathi.v

0 answers

Find the equation of parabola if : Vertex $(0 , 0 ); $ focus : $(0 , -4 )$.

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the angle between following plane:$r=(3i+j-k)=7 $ and $r=(i+4j-2k)=10$

asked Apr 8, 2013 by poojasapani_1

1 answer

Is the function $f (x) = 5x – 3$ continuous at $x=5$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Express the following in the standard form $a + ib$: $\left ( -3+i \right )\left ( 4-2i \right )$

asked Apr 1, 2013 by geethradh

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $x+y+z=7\;,x+2y+3z=18\;,y+2z=6 $

asked Mar 30, 2013 by poojasapani_1

1 answer

Find the adjoint of the following matrics;$\begin{bmatrix} 2& 5 & 3 \\3 & 1 & 2 \\1 & 2 & 1 \end{bmatrix}$

asked Mar 27, 2013 by poojasapani_1

1 answer

Determine whether or not each of the definition of $\ast$ given below gives a binary operation. In the event that $\ast$ is not a binary operation, give justification for this: On $R$,defined $\ast\;by\;a\;\ast \;b=ab^2$

asked Mar 13, 2013 by sreemathi.v

1 answer

Determine whether Relation $R$ is reflexive, symmetric and transitive: Relation $R$ in the set $A = \{1,2,3,4,5,6\}$ defined as $R=\{(x,y):y \;\; \text {is divisible by } x\}$

asked Mar 8, 2013 by balaji.thirumalai

1 answer

(iii) Find the transpose of the matrix \begin{bmatrix} -1 & 5 & 6 \\ \sqrt{3} & 5 & 6 \\ 2 & 3 & -1 \end{bmatrix}

asked Mar 1, 2013 by sharmaaparna1

1 answer

Let $ A\;=\begin{bmatrix}2 & 4\\3 & 2\end{bmatrix}, B\;=\begin{bmatrix}1 & 3\\-2 & 5\end{bmatrix}, C\;=\begin{bmatrix}-2 & 5\\3 & 4\end{bmatrix}$. Find $ 3A-C$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

In the matrix $A=\begin{bmatrix}2 & 5 & 19 & -7\\35 & -2 & \frac{5}{2} & 12\\\sqrt 3 & 1 & -5& 17\end{bmatrix},$ write the elements $\;a_{13},a_{21},a_{33},a_{24},a_{23}$ \[\]

asked Feb 27, 2013 by balaji.thirumalai

1 answer

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