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Recent questions tagged p60

Resistance to motion,$F$, of a moving vehicle is given by,$F=\large\frac{5}{x}$$+100x.$ Determine the minimum value of resistance.

asked May 6, 2013 by poojasapani_1

1 answer

Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius $r$.

asked May 6, 2013 by poojasapani_1

1 answer

Show that of all the rectangles with a given perimeter the one with the greatest area is a square.

asked May 5, 2013 by poojasapani_1

1 answer

Show that of all the rectangles with a given area the one with smallest perimeter is a square.

asked May 5, 2013 by poojasapani_1

1 answer

Find two positive numbers whose product is $100$ and whose sum is minimum.

asked May 5, 2013 by poojasapani_1

1 answer

Find two numbers whose sum is $100 $ and whose product is a maximum.

asked May 5, 2013 by poojasapani_1

1 answer

If $\;A=\small\frac{1}{\pi}$$\begin{bmatrix}sin^{-1}(\pi x) &tan^{-1}\big(\frac{\pi}{x}\big)\\ sin^{-1}\big(\frac{\pi}{x} \big)&cot^{-1}(\pi x)\end{bmatrix}\;$ and $\;B=\small\frac{1}{\pi} $$\begin{bmatrix}-cos^{-1}(\pi x) &tan^{-1}\big(\frac{x}{\pi}\big)\\ sin^{-1}\big(\frac{x}{\pi} \big)&-tan^{-1}(\pi x)\end{bmatrix}$ then $A-B$ is equal to

asked Mar 10, 2013 by sreemathi.v

1 answer

The matrix $\begin{bmatrix}1 & 0 & 0\\0 & 2 & 0\\0 & 0 & 4\end{bmatrix}$ is a

asked Dec 23, 2012 by sreemathi.v

1 answer

If Matrix $A=[a_{ij}]_{2\times 3},$ where$a_{ij} \begin{array}{ 1 1}=1\;if\;i\neq j\\=0\;if\;i=j\end{array}$ then $\;A^2\;$ is equal to:

asked Dec 23, 2012 by sreemathi.v

1 answer

If $A=\begin{bmatrix}0 & 1\\1 & 0\end{bmatrix},$then $A^2$ is equal to

asked Dec 23, 2012 by sreemathi.v

1 answer

If A and B are two matrices of the order $3\times m\;and\;3\times n,$respectively,and m=n,then the order of matrix(5A-2B) is

asked Dec 23, 2012 by sreemathi.v

1 answer

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