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Engineering Mathematics

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5
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2
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34k
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2
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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 4.5 years ago by teamques10 ★ 70k
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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 4.5 years ago by rucha6862 • 0
3
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Find the eigenvalues and eigenvectors of the following matrix $A = \begin{bmatrix} \ 2 & 1 & 1 \\ \ 2 & 3 & 2 \\ \ 3 & 3 & 4 \\ \end{bmatrix}$
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
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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 4.5 years ago by yashbeer ★ 11k
3
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2.7k
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Maximum and minimum values
engineering mathematics updated 4.5 years ago by abhi022mahajan • 0
4
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65k
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Show that every square matrix can be uniquely expressed as a sum of symmetric and skew symmetric matrix.
engineering mathematics updated 4.6 years ago by teamques10 ★ 70k
4
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1
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9.8k
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Reduce the matrix to normal form and hence find its rank.
engineering mathematics updated 4.6 years ago by yashbeer ★ 11k
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1
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2.2k
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1
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Proof using cauchy schwerz inequality algorithm
engineering mathematics updated 4.7 years ago by yashbeer ★ 11k
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1
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7.3k
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Find coefficient of correlation and standard deviation
engineering mathematics updated 4.7 years ago by yashbeer ★ 11k
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Check whether following polynomials are Hurwitz or not \[ (i) s^3+4s^2+5s+2 \\ (ii) s^4+s^3+2s^2+3s+2 \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
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616
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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 4.9 years ago by teamques10 ★ 70k
5
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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 4.9 years ago by teamques10 ★ 70k
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534
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Find inverse Z-transform of \[F(z)=\dfrac {z}{(z-1)(z-2)},|z|>2 \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
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1
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1.1k
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1
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Verify Stoke's theorem for F=yzi + zxj+xy k and c is the boundary of the circel x2+y2+z2=1, z=0
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
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1
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2.2k
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Find the bilinear transformation which maps the points 0, I, -2i of z-plane on to the points -4i, ?, 0 respectively of w-plane. Also obtain fixed points of the transformation
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
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1
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662
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1
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Find inverse Laplace Transform of following \[\left(i\right)\ \log{\left(1+\frac{a^2}{s^2}\right)}\] \[\left(ii\right)\ \frac{s}{{\left(s+1\right)}^2\left(s^2+1\right)}\]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
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1
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771
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1
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For what value of ? the equations x+y+z=1, x+2y+4z=?, x+4y+10z=?2 have a solution and solve them completely in each case.
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
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1
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676
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1
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Obtain complex form of Fourier series for the functions f(x)= eax in (0,a)
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
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1
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836
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Evaluate by Green's theorem \[\int_C^{\ }\ \left[\left(3x^2-8y^2\right)\ dx+\left(4y-6xy\right)\ dy\right]\] where C is the boundary of the region bounded by \[y=\sqrt{x},\ \ y=x^2\]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
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1
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2.9k
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1
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Find the inverse Laplace transform of ? \[ \left(i\right)\ \frac{e^{-2s}}{s^2+8s+25} \\ \left(ii\right)\ \frac{e^{-3s}}{{\left(s+4\right)}^3}\]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
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1
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557
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1
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Find Laplace Transform of following \[\left(i\right)\ \int_0^1\frac{1-e^{-au}}{u}\ du\] \[\left(ii\right)\ \ {\left(t\sinh{2t}\right)}^2\]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
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1
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383
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1
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\[If\ \left\{\ f\left(k\right)\right\}=\left\{\ 2^0,2^1,\ 2^3,...\right\}\] Find Z{ f(k) }
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
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1
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479
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1
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Find the inverse Laplace transform of \[\frac{e^{-z^3}}{s^2-2s+2}\]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
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1
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2.8k
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1
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Find the Fourier series expansion for f(x)=|x|, in (-?, ?) Hence deduce that \[\frac{{\pi{}}^2}{8}=\frac{1}{1^2}+\frac{1}{3^2}+\frac{1}{5^2}...\]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
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Prove that f(z)=(x3-3xy2+2xy) + i(3x2y-x2+y2-y3) is analytic and find f'(z) & f(z) in terms of z
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
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