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501
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Find inverse Z-transform of \[F(z)=\dfrac {z}{(z-1)(z-2)},|z|>2 \]
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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557
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Using laplace trasnform solve the following differential equation with given condition. (D2-2D+1) x=et, with x=2, Dx=-1, at t=0
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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Find an analytic function f(z)=u+iy where. \[u=\dfrac{x}{2}\log(x^2+y^2)-y\tan^{-1}\left ( \dfrac{y}{x} \right )+\sin x \cosh y\]
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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609
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Find an analytic function f(z)=u+iv where. \[ u-v = \dfrac {x-y}{x^2 + 4xy - y^2} \]
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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Find the analytic function whose imaginary part is \[ v=\dfrac {x}{x^2+y^2} + \cos h \ y\cdot \cos x\]
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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Find the analytic function f(z)= u+iv where u=r2 cos2θ-r cosθ+2
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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525
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Show that \[ f(z)=\frac{\bar{z}}{{\left\vert{}z\right\vert{}}^2} \ \ \ \ \ \ , |z|?0 \] is analytic function.Hence find f'(z)
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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597
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Find the analytic function f(z)=u+iv if u=(r+ a2/r) cos ?.
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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17k
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Find the analytic function whose real part is a=sin?2x/cosh?2y-cos?2x
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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21k
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Find the analytic function f(z)=u+iv in terms of z if u-v=(x-y) (x2 + 4xy + y2)
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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Find the analytic function f(z)= u+iv in terms of z if u-v=ex (cos y - sin y)
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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939
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Determine the constants a,b,c,d if f(z)=x2+2axy+by2+i(dx2+2cky+y2) is analytic.
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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2.1k
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Determine the constants a,b,c,d if f(z)=x2+2axy+by2+i(dx2+2cky+y2) is analytic.
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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9.6k
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Reduce the matrix to normal form and hence find its rank.
engineering mathematics updated 4.1 years ago by yashbeer ★ 11k
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2.6k
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Maximum and minimum values
engineering mathematics updated 4.1 years ago by prakhar1144 ★ 5.0k
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Under the transformation $W=z-1/z+1$ show that the map of the straight line $y=x$ is a circle and find its centre and radius.
engineering mathematics updated 4.0 years ago by yashbeer ★ 11k
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14k
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Using Lagrange's method of multipliers solve the NLPP, optimize $z = 4x_{1} + 8x_{2} - x_{1}^2 - x_{2}^2$ subjected to $x_{1} + x_{2} = 4, x_{1}, x_{2} \geq 0$.
engineering mathematics updated 4.0 years ago by teamques10 ★ 70k
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1.6k
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Explain fuzzy membership functions
engineering mathematics updated 4.0 years ago by binitamayekar ★ 6.7k
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904
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Method steepest descent
engineering mathematics updated 4.0 years ago by DevarenjiniP • 3.2k
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25k
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Let G be the set of real numbers and let G be the set of real numbers and let a * b=ab/2. Show that (G, *) is a abelian group.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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1.1k
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The Probability density function of a random variable X is
engineering mathematics updated 3.7 years ago by RakeshBhuse • 3.2k
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429
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Show that \[ \int_0^{\infty}e^{-t} \sin \left( \frac{t}{2}\right) \sin h{\ \left(\frac{\sqrt{3}t}{2}\right)}\ dt=\ \frac{\sqrt{3}}{2} \]
engineering mathematics updated 3.9 years ago by Krishna_Agrawal • 2.7k
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840
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Explain different fuzzy membership function
engineering mathematics updated 3.9 years ago by Krishna_Agrawal • 2.7k
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19k
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Check whether the set of all pairs of real numbers of the form (1,x) with operations $(1,y) +(1+y^{'})=(1,y+y^{'}) and k(1,y)=(1,ky)$ is a vector space.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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676
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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 3.9 years ago by Krishna_Agrawal • 2.7k
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