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Solve the equation 7coshx+8sinhx = 1 for real values of x.

engineering mathematics updated 3.9 years ago by rjran106 • 20

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Find the value of P for which the following matrix A will be of rank one, rank two, rank three where \[\left[A=\begin{array}{ccc}3 & p & p \\p & 3 & p \\p & p & 3\end{array}\right]\]

engineering mathematics updated 4.7 years ago by teamques10 ★ 70k

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Find the constant K so that the following is p.d.f f(x)=Kx^2 I(-k,k) (x),

engineering mathematics updated 4.3 years ago by abhisheksinghphenam662 • 10

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The first four moments of distribution about the value 4 are -1.5, 17, -30 and 108. Obtain the first four central moments, mean, standard deviation and coefficient of skewness and kurtosis.

engineering mathematics updated 3.8 years ago by pg1118329 • 0

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Using Rayleigh -Ritz method ,solve the boundary value problem $\int^{1}_{0}(2xy+y^2-y^{'2})dx;0\leq x\leq 1$ given that y(0)=y(1)=0.

engineering mathematics updated 4.1 years ago by teamques10 ★ 70k

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Using Rayleigh -Ritz method ,solve the boundary value problem $\int^{1}_{0}(xy+\frac{1}{2}y^{'2})dx;0\leq x \leq 1$ given that y(0)=y(1)=0.

engineering mathematics updated 4.1 years ago by teamques10 ★ 70k

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452

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If u=f(x-y, y-z, z-x) then show that \[ \dfrac {\partial u}{\partial x}+ \dfrac {\partial u}{\partial y} + \dfrac {\partial u}{\partial z} = 0 \]

engineering mathematics updated 4.7 years ago by teamques10 ★ 70k

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Find two non-singular matrices P & Q such that PAQ is in normal form where \[A=\left[\begin{array}{ccc}1 & 2 & 3 & -4 \\2 & 1 & 4 & -5 \\-1 & -5 & -5 & 7\end{array}\right]\]

engineering mathematics updated 4.1 years ago by yerasylmakulbe671 • 10

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Find the non-singular matrices P and Q such that PAQ is in Normal Form. Also find rank of A. \[A=\ \left[\begin{array}{ccc}4 & 3 & 1 & 6 \\2 & 4 & 2 & 2 \\12 & 14 & 5 & 16\end{array}\right]\]

engineering mathematics updated 3.9 years ago by rjran106 • 20

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682

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Show that every square matrix can be uniquely expressed as sum of a symmetric and Skew-symmetric matrix.

engineering mathematics updated 4.1 years ago by yerasylmakulbe671 • 10

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If z = f(x,y) , x=(eu + e-v), y=(e-u - ev) \[ \dfrac{\partial z}{\partial u}-\dfrac{\partial z}{\partial v} = x\dfrac{\partial z}{\partial x}-y\dfrac{\partial z}{\partial y}\]

engineering mathematics updated 4.7 years ago by teamques10 ★ 70k

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Reduce the following matrix into normal form and find its rank \[ \left[ {\begin{array}{cc} 2 & -1 & 1 & 1\\ 1 & 0 & 1 & 2\\ 3 & 3 & 3 & 1\\ 0 & -4 & -1 & 2\\ \end{array} } \right]\]

engineering mathematics updated 4.7 years ago by teamques10 ★ 70k

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series of cosines of multiple theta

engineering mathematics updated 3.9 years ago by rjran106 • 20

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1.7k

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Non trivial solution

engineering mathematics updated 3.9 years ago by rjran106 • 20

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Find the all possible ranks of the matrix \[A=\left[\ \begin{array}{ccc}k & -3 & -3 \\-3 & k & -3 \\-3 & -3 & k\end{array}\right]\] where k is any real number

engineering mathematics updated 4.7 years ago by teamques10 ★ 70k

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478

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Solve the \[DE\ \ y+\int_0^ty\ dt=1-\ e^{-t}\]using Laplace transforms.

engineering mathematics updated 4.7 years ago by teamques10 ★ 70k

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Prove that \[w=\frac{x}{x^2+y^2}\ -i\frac{y}{x^2+y^2}\] is analytical find f(z) in terms of z.

engineering mathematics updated 4.7 years ago by teamques10 ★ 70k

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640

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Find Z-Transform of {k ? e-ak} k?0.

engineering mathematics updated 4.7 years ago by teamques10 ★ 70k

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553

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Find the Fourier sine transform of f(x) if \[ \begin {align*}f(x)&=\sin kx, &0 \le x <a \\&=0, &x>a\end{align*}\]

engineering mathematics updated 4.1 years ago by yerasylmakulbe671 • 10

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606

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Show that every square matrix A can be uniquely expressed as P+iQ when P and Q are Hermitian matrices

engineering mathematics updated 4.1 years ago by yerasylmakulbe671 • 10

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734

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Find the non-singular matrices P and Q such that - \[A=\ \left[\begin{array}{ccc}1 & 2 & 3 & 2 \\2 & 3 & 5 & 1 \\1 & 3 & 4 & 5\end{array}\right]\] is reduced to normal form. Also find its rank.

engineering mathematics updated 4.1 years ago by yerasylmakulbe671 • 10

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439

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\[If\ \ \left\{f\left(x\right)\right\}=\left\{\begin{array}{l}4^k,\ \ \&for\ k<0\\3^k,\ \ \&for\ k\geq{}0\end{array}\right.\ \ find\ Z\left\{f\left(k\right)\right\}\]

engineering mathematics updated 4.7 years ago by teamques10 ★ 70k

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Matrix By PAQ method

engineering mathematics updated 3.9 years ago by rjran106 • 20

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662

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For what value of ?, the following system of equations possesses a non-trivial solution? Obtain the solution for real value of ?. 3x1+x2-? x3=0, 4x12x2-3x3=0, 2? x1+4x2+? x4=0

engineering mathematics updated 4.1 years ago by yerasylmakulbe671 • 10

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705

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A vector field is given by $F=3x^3yi + (x^3-2yz^2) j+ (3z^2-2y^2z) k$ is irrational. Also find ? such that F= ? ?. Also evaluate the line integral from (2,1,1), (2,0,1)

engineering mathematics updated 3.9 years ago by rjran106 • 20