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Recent questions tagged p79

The radius of a circular disc is given as $24cm$ with a maximum error in mesurement of $0.02cm $ compute the relative error?

asked Apr 24, 2013 by poojasapani_1

1 answer

The radius of a circular disc is given as $24cm$ with a maximum error in mesurement of $0.02cm$ Use differentials to estimate the maximum error in the calculated area of the dise.

asked Apr 24, 2013 by poojasapani_1

1 answer

The edge of a cube was found to be $30cm$ with a possible error in mesurement of $ 0.1cm$. Use differentials to estimate the maximum possible error in computing the surfacearea of the cube .

asked Apr 24, 2013 by poojasapani_1

1 answer

The edge of a cube was found to be $30cm$ with a possible error in mesurement of $ 0.1cm$. Use differentials to estimate the maximum possible error in computing the volume of the cube .

asked Apr 24, 2013 by poojasapani_1

1 answer

Use differentials to find an approximate value for the given numbers $(1.97)^{6}$

asked Apr 24, 2013 by poojasapani_1

1 answer

Use differentials to find an approximate value for the given numbers\[\]$y=3\sqrt{1.02}+4\sqrt{1.02}$

asked Apr 24, 2013 by poojasapani_1

1 answer

Use differentials to find an approximate value for the given numbers $\large\frac{1}{10.1}$

asked Apr 24, 2013 by poojasapani_1

1 answer

Use differentials to find an approximate value for the given numbers $\sqrt{36.1}$

asked Apr 24, 2013 by poojasapani_1

1 answer

Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y=\cos$$x,x=\large\frac{\pi}{6},$$dx=0.05$

asked Apr 24, 2013 by poojasapani_1

1 answer

Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y=\sqrt{1-x},x=0,dx=0.02$

asked Apr 24, 2013 by poojasapani_1

1 answer

Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y=(x^{2}+5)^{3},x=1,dx=0.1$

asked Apr 24, 2013 by poojasapani_1

1 answer

Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\]$y$=$x^{4}-3x^{2}+x-1,x$$=2,dx$$=0.1$

asked Apr 24, 2013 by poojasapani_1

1 answer

Find the differential $dy$ and evaluate $dy$ for the given values of $x$ and $dx$\[\] $y$$=1-x^{2},x$$=5,dx$$=\large\frac{1}{2}$

asked Apr 24, 2013 by poojasapani_1

1 answer

Prove that $\begin{vmatrix}bc - a^2 & ca - b^2 & ab - c^2\\ca - b^2 & ab - c^2 & bc - a^2\\ab -c^2 & bc - a^2 & ca - b^2\end{vmatrix}$ is divisible by a+b+c and find the quotient.

asked Dec 26, 2012 by sreemathi.v

1 answer

If $a+b+c\neq 0\;and\;\begin{vmatrix}a & b & c\\b & c & a\\c & a & b\end{vmatrix}=0,then\;prove\;that\;a=b=c.$

asked Dec 26, 2012 by sreemathi.v

1 answer

Given $A=\begin{bmatrix}2 & 2 & 4\\4 & 2 & 4\\2 & 1 & 5\end{bmatrix},B=\begin{bmatrix}1 & 1 & 0\\2 & 3 & 4\\0 & 1 & 2\end{bmatrix}$,find BA and use this to solve the system of equations y+2z=7,x-y=3,2x+3y+4z=17

asked Dec 26, 2012 by sreemathi.v

1 answer

Using matrix method ,solve the system of equations 3x+2y-2z=3,x+2y+3z=6,2x-y+z=2.

asked Dec 26, 2012 by sreemathi.v

1 answer

If $A=\begin{bmatrix}1 & 2 & 0\\-2 & -1 & -2\\0 & -1 & 1\end{bmatrix},find\;A^{-1}.$\[Using\;A^{-1}, solve\; the\; system\; of\; linear\; equations\; x-2y=10,2x-y-z=8,-2y+Z=7.\]

asked Dec 26, 2012 by sreemathi.v

1 answer

Find $A^{-1}$ if $A=\begin{bmatrix}0 & 1 & 1\\1 & 0 & 1\\1 & 1 & 0\end{bmatrix}$ and show that $ A^{-1}=\Large \frac{A^2-3I}{2}$

asked Dec 26, 2012 by sreemathi.v

1 answer

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