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Find an orthonormal basis of the following subspace of $R^3$, S = {[1, 2, 0][0, 3, 1]}
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Find a vector orthogonal to both u = (-6, 4, 2) & v = (3, 1, 5)
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Verify Cauchy - Schwartz Inequality for the vectors u = (-4,2,1) & v = (8, -4, 2)
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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State Cauchy - Schwartz inequality and hence show that $(x^2 + y^2 + z^2)^{\frac{1}{2}} \geq \frac{1}{13} (3x + 4y + 12z)$, x,y,z are positive.
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Using Rayleigh- ritz method solve the boundry value problem $J=\int_0^1 (xy +\frac {1}{2}y'^2)dx ; 0\le X\le 1$ given y(0)=0,y(1)=0 where $\bar y(x)=c_0+c_1x+c_2 x^2$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Find the extremals of the function $\int_0^{\pi/2} (y'^2-y^2+2xy)dy y(0)=0 , y(\pi /2)=0$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Using Rayleigh- ritz method solve the boundry value problem using two degree polynomial as initial solution..$J=\int_0^1 (2xy +y^2-y'^2)dx ; 0\le X\le 1$ given y(0)=0,y(1)=0
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Find the extremals of $\int_{x_0}^{x_1}(2xy+y^{''2})$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Find the extremal of $\int_{0}^{1} {(x y+y^2-2y^2 y')dx}$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Using Rayleigh - Ritz method, find an appropriate solution for the extremal of the functional $I[y(x)] = \int\limits_{0}^{1} xy + \frac{1}{2}(y')^2 dx$ subject to y(0) = y(1) = 0.
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Solve the boundary value problem $$I = \int\limits_{0}^{1} 2xy - y^2 - (y')^2 dx$$ Given y(0) = y(1) = 0 by Rayleigh - Ritz method.
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Find the plane curve of fixed perimeter and maximum area
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Determine the function that gives the shortest distance between two points
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Find the curve y = f(x) for which $ \int_{x_1}^{x_2} y \sqrt{1+(y')^2} \, dx $ is minimum subject to the constraint $ \int_{x_1}^{x_2} \sqrt{1+(y')^2} \, dx $ = l
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Find the extremal of the function $\int\limits_{x_{1}}^{x_{2}} (y^2 - (y')^2 - 2ycoshx)dx$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Solvle x = 1(mod3), x=2(mod 5) and x = 3(mod7)
engineering mathematics updated 5.7 years ago by ddigantarroy • 0
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Find the Jacob's symbol of
engineering mathematics updated 5.7 years ago by ddigantarroy • 0
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Using Kuhn Tucker condition to solve the following N.L.P.P. Max
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Using Kuhn Tucker condition to solve the following N.L.P.P.
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Using Kuhn Tucker condition to the solve the following N.L.P.P.
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Optimise $Z= x_1^2 +x_2^2 +x_3^2 -6x_1 -8x_2 -10x_3$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Find all basic solutions to the following problem
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Write the Dual the following L.P.P Max. $Z = 2x_1 -x_2 + 3x_3$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Write the Dual the following L.P.P Max. $Z = 2x_1 -x_2 + 4x_3$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Using simplex method solve the following L.P.P Max. $Z = 4x_1 +3x_2 + 6x_3$,
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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