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11
votes
1
answer
100k
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1
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Find Fourier Series for f(x) = |sinx| in $(-\pi, \pi)$
engineering mathematics updated 3.3 years ago by abhi78582 • 20
5
votes
1
answer
32k
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1
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Find the characteristic equation of the matrix A given below and hence ,find the matrix represented by $A^8-5A^7+7A^6-3A^5+A^4-5A^3+8A^2-2A+I$
engineering mathematics updated 7.2 years ago by teamques10 ★ 70k
3
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1
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8.0k
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1
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Based on the following data, can you say that there is no relation between smoking and literacy.
engineering mathematics updated 3.4 years ago by pedsangini276 • 4.8k
2
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1
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16k
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1
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The mean inside diameter of a sample of $200$ washers produced by a machine is $0.502$ cm and the standard deviation is $0.005$ cm.
engineering mathematics updated 9.0 years ago by teamques10 ★ 70k
5
votes
1
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25k
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1
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Solve the $[D^4-4D^3+8D^2-8D+4]y=0$
engineering mathematics updated 3.6 years ago by teamques10 ★ 70k
4
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1
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16k
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1
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Marks obtained by students in an examination follow the normal distribution.If 30% of students got below 35 marks and 10% got above 60 marks.Find mean and standard deviation
engineering mathematics updated 3.5 years ago by teamques10 ★ 70k
5
votes
1
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38k
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1
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Ten individuals are chosen at random from a population and their heights are found to be $63, 63, 64, 65, 66, 69, 69, 70, 70, 71$ inches.
engineering mathematics updated 9.0 years ago by teamques10 ★ 70k
4
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1
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8.0k
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1
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The density at any point of a cardioide $r=a (1 + cos\theta)$ varies as the square of its distance from its axis of symmetry. Find its mass.
engineering mathematics updated 3.5 years ago by teamques10 ★ 70k
3
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1
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14k
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1
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Jacobians : If $ ux=yz , \; vz=yx , \; wz = xy \; , \; find \; J\Big( \frac{ u,v,w }{x,y,z} \Big) $
engineering mathematics updated 5.2 years ago by teamques10 ★ 70k
2
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1
answer
1.9k
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1
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Evaluate by using Laplace transformation $\int\limits_{0}^{\infty}e^{-3t}tcostdt$
engineering mathematics updated 5.8 years ago by teamques10 ★ 70k
3
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1
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23k
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1
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Show that the function $v = e^x (xsiny + ycosy)$ satisfies Laplace equation. Find its corresponding analytic function & its harmonic conjugate.
engineering mathematics updated 5.2 years ago by teamques10 ★ 70k
5
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1
answer
28k
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1
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Evaluate $\iint_R y\,dxdy$ where 'R' is the region bounded by $y^2=4x$ & $x^2=4y$
engineering mathematics updated 5.2 years ago by teamques10 ★ 70k
1
vote
1
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3.9k
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1
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Are the following matrices derogatory? If yes, find its minimal polynomial.
engineering mathematics updated 3.5 years ago by teamques10 ★ 70k
4
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1
answer
28k
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1
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Jacobians : If $ x=e^v sec \; u \; , \; y=e^v tan \; u, Find \; J\bigg ( \frac{u,v}{x,y} \bigg) $
engineering mathematics updated 5.2 years ago by teamques10 ★ 70k
1
vote
1
answer
1.2k
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1
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Verify parseval's theorem for sequence $x(n)=\left(\frac{1}{2}\right)^{n} u(n)$. Assume N=4.
engineering mathematics updated 5.8 years ago by teamques10 ★ 70k
2
votes
1
answer
38k
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1
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Calculate karl pearson's coefficient of correlation between expenditure and sales from given data.
engineering mathematics updated 6.4 years ago by sayalikulkarni • 0
1
vote
1
answer
3.2k
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1
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State Cayley-Hamilton theorem & verify the same for $A=\begin{bmatrix}1&3\\2&2\end{bmatrix}$
engineering mathematics updated 5.2 years ago by teamques10 ★ 70k
2
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1
answer
6.0k
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1
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The monthly salary x in a big organization is normally distributed with mean Rs. 3000 & Standard deviation Rs.250.
engineering mathematics updated 3.5 years ago by teamques10 ★ 70k
6
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1
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16k
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1
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Using R.K. method of 4th order solve $\dfrac {dy}{dx}=\dfrac {y^2-x^2}{y^2+x^2}$ given $y(0)=1 \space at \space x=0.2 , 0.4$
engineering mathematics updated 3.5 years ago by teamques10 ★ 70k
1
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1
answer
2.0k
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1
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Fit a curve $y=ax+bx_2$ for the data:
engineering mathematics updated 5.2 years ago by teamques10 ★ 70k
4
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1
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86k
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1
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Verify Cayley Hamilton theorem for the matrix A and hence ,find $A^{-1}$ & $A^4$ ,where $A = \begin{bmatrix} \ 1 & 2 & -2 \\ \ -1 & 3 & 0 \\ \ 0 & -2 & 1 \\ \end{bmatrix}$
engineering mathematics updated 3.6 years ago by teamques10 ★ 70k
2
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1
answer
3.6k
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1
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Verify Laplace equation for $u = (r + \frac{a^2}{r}) cos \theta.$ Also find u and f(z).
engineering mathematics updated 3.4 years ago by pedsangini276 • 4.8k
8
votes
1
answer
31k
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1
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Jacobians : If $ u = \frac{x+y}{1-xy} , \; v \; = \; tan^{-1}x \; + \; tan^{-1}y , \; Find \frac{\partial (u,v)}{\partial (x,y)} $
engineering mathematics updated 5.2 years ago by teamques10 ★ 70k
2
votes
1
answer
5.9k
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1
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Prove that $\int\limits_0^{\dfrac {\pi} 2} \tan^n x dx=\dfrac {\pi}2\sec\Bigg(\dfrac {n\pi}2\Bigg)$
engineering mathematics updated 3.5 years ago by teamques10 ★ 70k
4
votes
1
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24k
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1
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Evaluate $\int_0^{2 \pi} \frac{cos 2 \theta}{5+4 cos \theta} d \theta$
engineering mathematics updated 5.2 years ago by teamques10 ★ 70k
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