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Recent questions tagged 2016

Find $\{\int (\log (\log x)+\large\frac{1}{(\log x)^2}\}$$dx$

asked May 27, 2016 by meena.p

1 answer

Find $\int \large\frac{1- \sin x}{\sin x (1+\sin x)}$$dx$

asked May 27, 2016 by meena.p

1 answer

Find the equation of normal to the curve $ay^2 = x^3$ at the point whose x coordinate is $am^2$

asked May 27, 2016 by meena.p

1 answer

Find k, if $f(x) = \left\{ \begin{array} {1 1} k \sin \frac{\pi}{2}(x+1), & \quad x \leq 0 \\ \frac{\tan x - \sin x}{x^3} ,& \quad x >0 \end{array} \right. $ is a continuous at x=0

asked May 27, 2016 by meena.p

1 answer

Differentiate $\tan ^{-1} \bigg( \large\frac{\sqrt{1+x^2}-\sqrt{1-x^2}}{\sqrt{1+x^2}+\sqrt{1-x^2}}\bigg)$ with respect to $ \cos ^{-1}x^2$

asked May 27, 2016 by meena.p

1 answer

Differentiate $(\sin 2x)^x+ \sin ^{-1} \sqrt {3x}$ with respected to x

asked May 27, 2016 by meena.p

1 answer

If $A = \begin{bmatrix} 0 & 3 \\2 & -5 \end{bmatrix}$ and $KA = \begin{bmatrix} 0 & 4a \\-8 & 5b \end{bmatrix}$ find the values of K and a

asked May 27, 2016 by meena.p

1 answer

If $A= \begin{bmatrix}1 & 2 \\ 3 & -1\end{bmatrix}$ and $B=\begin{bmatrix}1 & -4 \\ 3 & -2\end{bmatrix}$ find $|AB|$

asked May 27, 2016 by meena.p

1 answer

If A is a square matrix such that $|A|=5$ write the value of $|AA^T|$

asked May 27, 2016 by meena.p

1 answer

Find the distance between the planes $\overrightarrow {r}.(2 \hat i - 3 \hat j +6 \hat k)-4=0 $ and $\overrightarrow {r} . (6 \hat i - 9 \hat j +18 k )+30=0 $

asked May 27, 2016 by meena.p

1 answer

If $\overrightarrow {a} $ and $\overrightarrow {b} $ are unit vectors , then what is the angle between $\overrightarrow {a} $ and $\overrightarrow {b} $ for $\overrightarrow {a} - \sqrt 2 \overrightarrow {b} $ to be a unit vector ?

asked May 27, 2016 by meena.p

1 answer

If vectors $\overrightarrow {a} $ and $\overrightarrow {b}$ are such that $|\overrightarrow {a}| = \large\frac{1}{2}$, $|\overrightarrow {b}| = \large\frac{4}{\sqrt 3}$ and $|\overrightarrow {a} \times \overrightarrow {b}| = \large\frac{1}{\sqrt 3}$ then find $|\overrightarrow {a}. \overrightarrow {b}|$

asked May 27, 2016 by meena.p

1 answer

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