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Recent questions tagged q46

Verify Rolles theorem for the function $ f(x)=\Large e^{1-x^2}$in the interval [-1,1]

asked Jan 28, 2013 by meena.p

1 answer

If P and Q are invertible matrices of same order, then show that PQ is also invertible.

asked Jan 24, 2013 by meena.p

0 answers

Which of the following is a second order differential equation\begin{array}{1 1}(A)\;(y')^2+x=y^2 & (B)\;y' y''+y=\sin x\\(C)\;y'''+(y'')^2+y=0 & (D)\;y'=y^2\end{array}

asked Jan 18, 2013 by sreemathi.v

1 answer

Evaluate the following:$\int\limits_0^{\Large \pi} x \log \sin xdx$

asked Jan 15, 2013 by sreemathi.v

1 answer

There are three urns containing 2 white and 3 black balls,3 white and 2 black balls,and 4 white and 1 black balls,respectively.There is an equal probability of each urn being chosen.A ball is drawn at random from the chosen urn and it is found to be white.find the probability that the ball drawn was from the second urn.

asked Jan 9, 2013 by sreemathi.v

1 answer

True or False: The line $\overrightarrow{r}=(2\hat i-3\hat j-\hat k)+\lambda(\hat i-2\hat j-2\hat k)$ lies in the plane $\overrightarrow{r}.(3\hat i-\hat j-\hat k)-2=0$

asked Jan 7, 2013 by sreemathi.v

0 answers

Find $\large \frac{dy}{dx}$ of the function expressed in parametric form $x=3\cos \theta-2\cos^3\theta,y=3\sin \theta-2\sin^3\theta$

asked Dec 31, 2012 by sreemathi.v

1 answer

$\begin{vmatrix}0 & xyz & x-z\\y-x & 0 & y-z\\z-x & z-y & 0\end{vmatrix}$ =

asked Dec 28, 2012 by sreemathi.v

1 answer

If $P(x)=\begin{bmatrix}\cos x & \sin x\\-\sin x & \cos x\end{bmatrix}$,then show that\[P(x).P(y)=P(x+y)=P(y).P(x).\]

asked Dec 23, 2012 by sreemathi.v

1 answer

If $y=2\tan^{-1}x+\sin^{-1}\frac{2x}{1+x^2}$ for all x,then _< y < ___.

asked Dec 21, 2012 by sreemathi.v

1 answer

Let $f:R \rightarrow R$ be defined by $ f(x)=\left \{ \begin{array}{1 1} 2x:x>3\\x^2:1<1x\leq 3\\ 3x:x\leq1\end{array} \right.$ $Then\;f(-1)+f(2)+f(4)\;is$

asked Dec 19, 2012 by sreemathi.v

1 answer

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