Recent questions tagged q1-5

Write the negation of "Every natural number is an integer."

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

The sides of a quadrilateral have equal length. Is this sentence a statement?

asked Jul 3, 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

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

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to \infty}\large\frac{\sin\frac{2}{x}}{\Large\frac{1}{x}}$

asked May 6, 2013 by poojasapani_1

1 answer

Find the intervals of concavity and the points of inflection of the following functions: $f(\theta)=\sin 2\theta $ in $ (0 , \pi )$

asked May 6, 2013 by poojasapani_1

1 answer

Find the critical numbers and stationary points of each of the following functions. $\;f(\theta)=\sin^{2} 2\theta \;$in$\;[0 , \pi ]$

asked May 5, 2013 by poojasapani_1

1 answer

Verify Lagrange's theorem for the following function;\[\]$f(x)=x^{3}-5x^{2}-3x\;[1,3]$

asked May 3, 2013 by poojasapani_1

1 answer

Find the differential of the functions. $y$=$\sin$$2x$

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.$P(85\leq$X$\leq$95$)$

asked Apr 22, 2013 by poojasapani_1

1 answer

What is the probability that a leap year has 53 Sundays?

asked Apr 18, 2013 by sreemathi.v

0 answers

Evaluate $\int\large\frac{\cos x}{\sin x+\sqrt \sin x}\normalsize dx.$

asked Apr 17, 2013 by sreemathi.v

0 answers

Evaluate $\int x^2(e^{x^3})\cos (2e^{x^3})dx.$

asked Apr 16, 2013 by sreemathi.v

0 answers

Solve $\int\large\frac{1}{x\cos^2(1+\log x)}\normalsize dx$.

asked Apr 16, 2013 by sreemathi.v

0 answers

Evaluate $\int \large\frac{x^2}{(x^2-4)}\normalsize dx.$

asked Apr 15, 2013 by sreemathi.v

0 answers

Find the order and degree of the following differential equation: $\large\frac{d^{2}y}{dx^{2}}-y+(\large\frac{dy}{dx}+\frac{d^{3}y}{dx^{3}})^{\frac{3}{2}}$=$0$

asked Apr 14, 2013 by poojasapani_1

1 answer

Evaluate the following integral : $\int \large\frac{e^{2x}}{2+e^x}\normalsize dx.$

asked Apr 12, 2013 by sreemathi.v

0 answers

Evaluate : $\int\large\frac{x}{(x+1)^2}\normalsize dx.$

asked Apr 11, 2013 by sreemathi.v

0 answers

Find the equation of the tangent and normal to the hyperbola $9x^{2}-5y^{2}=31 $ at $(2 , -1 )$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if centre:$ (2 , 5 )$; the distance between the direction is $15$ the distance between the foci is $20$ and the transverse axis is parallel to y-axis.

asked Apr 11, 2013 by poojasapani_1

1 answer

Evaluate : $\large \int \frac{cosec x}{\log \;\tan\big(\frac{x}{2}\big)}\normalsize dx.$

asked Apr 11, 2013 by sreemathi.v

0 answers

Find the equation of the ellipse if the centre at the origin, the major axis is along $x$-axies,$e=\large\frac{2}{3}$ and passes through the point $(2 , \large\frac{-5}{3})$

asked Apr 10, 2013 by poojasapani_1

1 answer

Evaluate : $\int e^x(tan \;x+log \;sec x)dx.$

asked Apr 10, 2013 by sreemathi.v

0 answers

Find the equation of parabola if : Vertex $(1 , 2 ) ;$ latus recturm :$y=5$.

asked Apr 9, 2013 by poojasapani_1

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $x+y-z=1\;,2x+2y-2z=2\;,-3x-3y+3z=-3$

asked Mar 30, 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: (v)On $Z^+,define \;\ast\;by\;a\;\ast\;b=a.$

asked Mar 13, 2013 by sreemathi.v

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 $ (v)\;BA\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Ask Questions, Get Answers