Recent questions tagged q1-4

Write the negation of the statement " There exists a number $x$ such that 0<$x$<1."

asked Aug 4, 2014 by rvidyagovindarajan_1

1 answer

Identify the connecting word and and write the components of the statement "$x=2\:\:and\:\:x=3$ are the roots of the equation $3x^2-x-10=0$."

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Write the negation of "The number $2$ is greater than the number $7$."

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

The square of a number is an even number. Is this sentence a statement? Give reason.

asked Jul 3, 2014 by rvidyagovindarajan_1

1 answer

Find the distance between the the points $(2,-1,3)$ and $(-2,1,3)$.

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

1 answer

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

asked Aug 6, 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

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 2}\large\frac{x^{n}-2^{n}}{x-2}$

asked May 6, 2013 by poojasapani_1

1 answer

Find the intervals of concavity and the points of inflection of the following functions: $f(x)=x^{4}-6x^{2}$

asked May 6, 2013 by poojasapani_1

1 answer

Find the critical numbers and stationary points of each of the following functions.$\;f(x)=\large\frac{x+1}{x^{2}+x+1}$

asked May 5, 2013 by poojasapani_1

1 answer

Prove the following inequalities: $\log(1+ x)< x $ for all $x>0$

asked May 4, 2013 by poojasapani_1

1 answer

Obtain the Maclaurin's series expansion for:$\;\tan x,- \large\frac{\pi}{2} \lt \normalsize x \lt \large\frac{\pi}{2}$

asked May 4, 2013 by poojasapani_1

1 answer

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

asked May 3, 2013 by poojasapani_1

1 answer

Verify Rolle's theorem for the following function; $f(x)=4x^{3}-9x;-\large\frac{3}{2}\leq x\leq \frac{3}{2}$.

asked May 3, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the curves.$ \;y=\large\frac{1+\sin x}{\cos x}$ at $\;x=\large\frac{\pi}{4}$

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 velocity with which the missile strikes the ground

asked Apr 30, 2013 by poojasapani_1

1 answer

Varify $\large\frac{\partial^{2} y}{\partial x\partial y}=\frac{\partial^{2} y}{\partial y\partial x}$ for the following function;$\;u=\tan^{-1}\large(\frac{x}{y})$

asked Apr 25, 2013 by poojasapani_1

1 answer

Find the differential of the functions. $y$=$\large\frac{x-2}{2x+3}$

asked Apr 24, 2013 by poojasapani_1

1 answer

If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilites by standardizing. $P(70$$<$X$)$

asked Apr 22, 2013 by poojasapani_1

1 answer

Find the angle between the line $\large\frac{x-6}{3}=\frac{y-7}{2}=\frac{z-7}{-2}$ and the plane $x+y+2z=0.$

asked Apr 18, 2013 by sreemathi.v

0 answers

If $\sin(xy)+\cos(xy)=1$ and $\tan(xy)\neq 1$,then show that $\large\frac{dy}{dx}=-\frac{y}{x}$

asked Apr 17, 2013 by sreemathi.v

0 answers

If $y=e^{\sin x^2}$,find $\large\frac{dy}{dx}$.

asked Apr 16, 2013 by sreemathi.v

0 answers

If $e^{x+y}=xy,$show that $\large\frac{dy}{dx}\normalsize=\large\frac{y(1-x)}{x(y-1)}$.

asked Apr 16, 2013 by sreemathi.v

0 answers

If $y=\sqrt{\large\frac{1-\cos x}{1+\cos x}}$,find $\large\frac{dy}{dx}$.

asked Apr 15, 2013 by sreemathi.v

0 answers

Find the order and degree of the following differential equation: $\large\frac{d^{2}y}{dx^{2}}+x$=$\sqrt{y+\large\frac{dy}{dx}}$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the derivative of $\sin x^2$ with respect to $x^3$.

asked Apr 12, 2013 by sreemathi.v

0 answers

Evaluate : $\lim_{x\to \large\frac{\pi}{2}}[x\tan x-\large\frac{\pi}{2}\normalsize\ sec x]$

asked Apr 11, 2013 by sreemathi.v

0 answers

Find the equation of the tangent and normal to the ellipse $2x^{2}+3y^{2}=6 $ at $ (\sqrt{3} , 0 )$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if centre : $(1 , -2 )$ length of the transverse axis is $8; e=\large\frac{5}{4}$ and the transverse axis is parallel to x- axis.

asked Apr 11, 2013 by poojasapani_1

1 answer

Two regression lines are represented by $2x+3y-10=0$ and $4x+y-5=0$.Find the line of regression of y on x.

asked Apr 11, 2013 by sreemathi.v

0 answers

Find the equation of the ellipse if the centre is $(3 , -4 ), $one of the foci is $(3+\sqrt{3},-4)$ and $e=\large\frac{\sqrt{3}}{2}$

asked Apr 10, 2013 by poojasapani_1

1 answer

From the equations of the two regression lines,4x+3y+7=0 and 3x+4y+8=0,find :

asked Apr 10, 2013 by sreemathi.v

0 answers

Find the equation of parabola if : Vertex $(1 , 4 );$ focus :$(-2 , 4 ).$

asked Apr 9, 2013 by poojasapani_1

1 answer

Express the following in the standard form $a + ib$: $\large\frac{i^{4}+i^{9}+i^{16}}{3-2i^{8}-i^{10}-i^{15}}$

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-4y+7z=14\;,3x+8y-2z=13\;,7x-8y+26z=5 $

asked Mar 30, 2013 by poojasapani_1

1 answer

In the event that $\ast$ is not a binary operation, give justification for this: On $Z^+,$ defined $\;\ast\;by\;a\;\ast\;b=|a-b|.$

asked Mar 13, 2013 by sreemathi.v

1 answer

Determine whether Relation $R$ is reflexive, symmetric and transitive: Relation $R$ in the set $Z$ of all integers defined as $R=\{(x,y):x-y \;\; \text {is an integer}\}$

asked Mar 8, 2013 by balaji.thirumalai

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 $ AB\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

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