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3
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12k
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Discuss the stationary points for Maxima and Minima of x3 + xy2 - 12x2 - 2y2 + 21x + 10
engineering mathematics updated 4.0 years ago by binitamayekar ★ 6.7k
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42k
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Show that G=[1,-1,i,-i] is a group under usual multiplication of complex number.
engineering mathematics updated 5.6 years ago by prashantsaini • 0
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Find the matrix A, if adj A = \[\ \left[\begin{array}{ccc}-2 & 1 & 3 \\-2 & -3 & 11 \\2 & 1 & -5\end{array}\right]\]
engineering mathematics updated 4.0 years ago by kshirsagarsousu1963 • 500
6
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16k
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Evaluate the integral $\int_0^{1+i}(x^2 - iy)dz$ along the path y = x.
engineering mathematics updated 5.6 years ago by teamques10 ★ 70k
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4.6k
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Find the Z-transform of f(k) =ak, k≥0.
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
1
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5.1k
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show that the vector F = (y+z)i +(z+x)j +(x+y)k is solenoidal
engineering mathematics updated 3.8 years ago by Krishna_Agrawal • 2.7k
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2.4k
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Apply Cayley-Hamilton theorem for $A = \begin{bmatrix} \ 1 & 2 \\ \ 2 & -1 \\ \end{bmatrix}$ and deduce that $A^8=625I$
engineering mathematics updated 3.8 years ago by teamques10 ★ 70k
2
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1
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24k
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Examine the function f(x,y) = y2 + 4xy + 3x2 + x3 for extreme values.
engineering mathematics updated 4.0 years ago by binitamayekar ★ 6.7k
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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
8
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28k
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Obtain half range sine series for $f(x) = x^2$ 0<x<3
engineering mathematics updated 6.1 years ago by teamques10 ★ 70k
5
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2
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33k
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Nine items of a sample had the following values 45 ,47 ,50 ,48 ,47 ,49 ,53 ,51.Does the mean of 9 items differ significantly from the assumed population mean 47.5 ?
engineering mathematics updated 4.0 years ago by teamques10 ★ 70k
1
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446
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1
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Inverse Laplace theorem
engineering mathematics updated 3.8 years ago by Krishna_Agrawal • 2.7k
4
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29k
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If y = cos x.cos 2x.cos 3x then find its nth order derivative
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
4
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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
6
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1
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39k
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Find the Fourier series expansion for f(x)=|x|, in (-π, π).
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
0
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1
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825
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1
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non-Singular Matrices P & Q
engineering mathematics updated 3.7 years ago by RakeshBhuse • 3.2k
4
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18k
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If z = tan(y+ax) + (y-ax)(3/2) \[\dfrac{\partial^2z}{\partial x^2} =a^2 \dfrac{\partial^2z}{\partial y^2}\]
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
4
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2
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11k
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Solve $(D^2-1)y=x^2sin3x$ .
engineering mathematics updated 3.8 years ago by teamques10 ★ 70k
1
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4.5k
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If f(z)= (ax4 + bx2y2 + cy4 + dx2 - 2y2) + i(4x3y - exy3 + 4xy) is analytic, find the constants a,b,c,d,e
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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1.4k
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1
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Find the rank of the matrix by reducing into normal form
engineering mathematics updated 3.8 years ago by DevarenjiniP • 3.2k
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1
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658
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1
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Eng Maths sem 1 ques
engineering mathematics updated 3.8 years ago by pedsangini276 • 4.8k
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5.6k
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\[ if \ x=uv, \ y=\dfrac {u}{v} \] prove that J.J=1
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
0
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1
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504
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1
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Prove that \[\log \sec x = \dfrac {1}{2}x^2 + \dfrac {1}{1z}x^2 + \dfrac {1}{45}x^6 \cdots \ \cdots \]
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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1.5k
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If u=xyz, v=x2+y2+x2, w=x+y+z then prove that \[ \dfrac {\partial x}{\partial u} = \dfrac {1}{(x-y)(x-z)} \]
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
0
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If y=sinθ+cos θ then prove that \[y_n = r^n \sqrt{1+(-1)^n \sin 2 \theta} \] where θ rx
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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