MathXyz

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Reduce the equation to standard form and determine the nature of the conicoid: x2+y2+z2-yz-zx-xy-3x-6y-9z+21=0.

answered Jan 8 by randomisation (1,920 points)

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Find a basis and dimension of the image of $A$ and those of the kernel $A$.

answered Jan 8 by big boss (190 points)

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Integrate the function $f(x,y) = xy(x^2+y^2)$ over the domain $R : { -3 <= x^2-y^2<3, 1 <=xy <=4 }$

answered Jan 5 by randomisation (1,920 points)

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A fixed wire is in the shape of the cardioid $r = a(1+cos\theta)$, the initial line being the downward vertical.

answered Dec 23, 2017 by randomisation (1,920 points)

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Find the initial basic feasible solution of the following transportation problem using Vogel's approximation method.

answered Dec 23, 2017 by randomisation (1,920 points)

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Consider the following system of equations in $x, y, z$ :

asked Dec 22, 2017 by randomisation (1,920 points)

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Prove that distinct non-zero eigenvectors of a matrix are linearly independent.

asked Dec 22, 2017 by randomisation (1,920 points)

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Find the possible dimensions of subspace $U \cap W$

answered Dec 22, 2017 by randomisation (1,920 points)

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Assign the programs to the programmers in such a way that total computer time is least.

answered Dec 21, 2017 by randomisation (1,920 points)

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Solve by simplex method the following LPP: Minimize $Z = x_1 - 3x_2 + 2x_3$

answered Dec 21, 2017 by randomisation (1,920 points)

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Solve the following linear programming problem by simplex method: Maximize $z= 3x_1+5x_2+4x_3$

answered Dec 21, 2017 by randomisation (1,920 points)

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Using graphical method, find the maximum value of $2x+y$ subject to given constraints.

answered Dec 21, 2017 by randomisation (1,920 points)

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Show that the groups $Z_5 \times Z_7$ and $Z_{35}$ are isomorphic.