Recent questions tagged sec6

If $A = \begin{bmatrix} 2 & -3 & 5 \\ 3 & 2 & -4 \\ 1 & 1 & -2 \end{bmatrix} $ find $ A^{-1}$. Using $ A^{-1}$ solve the system of equations:$ 2x-3y+5z=11; 3x+2y-4z=-5; x+y-2z = -3$

asked Feb 7, 2013 by thanvigandhi_1

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If $ A = \begin{bmatrix} 2 & -3 & 5 \\ 3 & 2 & -4 \\ 1 & 1 & -2 \end {bmatrix} $, find $ A^{-1} $ . Using $ A^{-1} $ , solve the system of equations : $ 2x – 3y + 5z = 11 ,3x + 2y – 4z = –5 ,x + y – 2x = –3. $

asked Dec 29, 2012 by thanvigandhi_1

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Integrate the function $\;\int\;x\;sin\;x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[x\;\sin3x\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[x^2e^x\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x\;\log x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x\; \log2x $

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[x^2logx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[x\;\sin^{-1}x\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\;\int\;x\;\tan^{-x}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[x\;\cos^{-1}x\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $(\sin^{-1}x)^2$

asked Dec 4, 2012 by sreemathi.v

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Integrate the function $\frac{x\cos^{-1}x}{\sqrt{1-x^2}}$

asked Dec 4, 2012 by sreemathi.v

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Integrate the function\[x\;\sec^2x\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\tan^{-1}x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $x(\log x)^2$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\;\int\;(x^2+1)\;log\;x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[e^x(\sin x+\cos x)\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\;\int\;\frac{xe^x}{(1+x)^2}$

asked Dec 4, 2012 by sreemathi.v

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Integrate the function $e^x\bigg(\frac{1+\sin x}{1+\cos x}\bigg)$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $e^x \large($$ \large \frac{1}{x}$$-\large\frac{1}{x^2})$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\frac{(x-3)e^x}{(x-1)^3}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\;\int\;e^{2x}\sin\; x$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sin^{-1}\bigg(\large\frac{2x}{1+x^2}\bigg)$

asked Dec 4, 2012 by sreemathi.v

1 answer

Choose the correct answer in $\Large \int \normalsize x^2e^{x^3}\;dx $ equals

asked Dec 4, 2012 by sreemathi.v

1 answer

Choose the correct answer in $\int e^x\sec x(1+\tan x)\;dx$ equals

asked Dec 4, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation $\large\frac{dy}{dx}$$+2y=\sin x$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation$\large\frac{dy}{dx}$$+3y=e^{-2x}$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation$\large\frac{dy}{dx}+\frac{y}{x}$$=x^2$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation$\large\frac{dy}{dx}$$+(\sec x)y=\tan x\bigg(0\leq x<\large\frac{\pi}{2}\bigg)$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation $\cos^2x\large\frac{dy}{dx}$$+y=\tan x\bigg(0\leq x<\large\frac{\pi}{2}\bigg)$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation $x\large\frac{dy}{dx}$$+2y=x^2\log x$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation $x \log x\large\frac{dy}{dx}$$+y=\large\frac{2}{x}$$\log x$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation $(1+x^2)dy+2xy\;dx=\cot x\;dx\;(x\neq0)$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation $x\large\frac{dy}{dx}$$+y-x+xy\cot x=0\;(x\neq0)$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation $(x+y)\large\frac{dy}{dx}$$=1$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation $y\;dx+(x-y^2)dy=0$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation $(x+3y^2)\large\frac{dy}{dx}=y$$\;(y>0)$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find a particular solution satisfying the given condition$\large\frac{dy}{dx}$$+2y\tan x=\sin x;\;y=o\;when\;x=\large\frac{\pi}{3}$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find a particular solution satisfying the given condition $(1+x^2)\large\frac{dy}{dx}$$+2xy=\large\frac{1}{1+x^2}$$;y=0\;when\;x=1$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find a particular solution satisfying the given condition $\large\frac{dy}{dx}-$$3y\cot x=\sin 2x;\;y=2\;when\;x=\large\frac{\pi}{2}$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the equation of curve passing through the origin given that the slope of the tangent to the curve at any point $(x,y)$ is equal to the sum of the coordinates of the point .

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the equation of curve passing through the point(0,2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5

asked Nov 29, 2012 by sreemathi.v

1 answer

The integrating factor of the differential equation $x\large\frac{dy}{dx}$$-y=2x^2 $ is

asked Nov 29, 2012 by sreemathi.v

1 answer

The integrating factor of the differential equation $(1-y^2)\large\frac{dx}{dy}$$+yx=ay\: \;is$

asked Nov 29, 2012 by sreemathi.v

1 answer

The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost of 2 kg onion, 4 kg wheat and 6 kg rice is Rs 90. The cost of 6 kg onion 2 kg wheat and 3 kg rice is Rs 70. Find cost of each item per kg by matrix method.

asked Nov 29, 2012 by balaji.thirumalai

1 answer

If $A = \begin{bmatrix} 2 &-3 & 5\\ 3& 2 & -4\\ 1& 1& -2 \end{bmatrix}$, $\;$ find $A^{-1}.\;$ Using $ A^{-1}$ solve the system of equations: \[2x-3y+5z=11\] \[3x+2y-4z = -5\] \[x+y-2z = -3\]

asked Nov 29, 2012 by balaji.thirumalai

1 answer

Solve system of linear equations, using matrix method:\[\] \[x-y+2z=7\] \[3x+4y-5z=-5\] \[2x-y+3z=12\]

asked Nov 29, 2012 by balaji.thirumalai

1 answer

Solve system of linear equations, using matrix method:\[\] \[2x+3y+3z=5\] \[x-2y+z=-4\] \[3x-y-2z=3\]

asked Nov 29, 2012 by balaji.thirumalai

1 answer

Solve system of linear equations, using matrix method:\[\] \[x-y+z=4\] \[2x+y-3z=0\] \[x+y+z=2\]

asked Nov 29, 2012 by balaji.thirumalai

1 answer

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