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10
votes
1
answer
93k
views
1
answer
Find Fourier Series for f(x) = |sinx| in $(-\pi, \pi)$
engineering mathematics updated 2.1 years ago by abhi78582 • 20
5
votes
1
answer
79k
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1
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Fit a second degree parabolic curve to the following data:
engineering mathematics updated 4.1 years ago by teamques10 ★ 64k
5
votes
1
answer
77k
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1
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A car hire firm has two cars which it hires out day by day. The number of demands for a car on each day is distributed as poisson variate with mean 1.5. Also do the following.
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.7k
3
votes
1
answer
66k
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1
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Find the bilinear transformation which maps the points z = 1, I, -1 onto w = 0,1,$\infty$
engineering mathematics updated 4.1 years ago by teamques10 ★ 64k
4
votes
1
answer
65k
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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 2.4 years ago by teamques10 ★ 64k
3
votes
1
answer
64k
views
1
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The equations of two lines of Regression are 3x + 2y = 26 , 6x + y = 31 Find
engineering mathematics updated 2.4 years ago by teamques10 ★ 64k
8
votes
1
answer
63k
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1
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A continuous random variable X has the p.d.f f(x) = kx$^2$e$^{-x}$ ; x $\geq$ 0 . Find k , mean & variance .
engineering mathematics updated 18 months ago by sagarkolekar ★ 11k
4
votes
1
answer
63k
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1
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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 2.6 years ago by teamques10 ★ 64k
1
vote
1
answer
60k
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1
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Calculate the karl Pearson's coefficient of correlation for the following data.
engineering mathematics updated 2.2 years ago by pedsangini276 • 4.7k
12
votes
1
answer
54k
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1
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Verify Green's theorem for $\oint(3x^2 - 8y^2)dx + (4y - 6xy)dy$ where c is boundary of the region defined by x = 0, y = 0 & x+ y = 1
engineering mathematics updated 14 months ago by vikaskandunoori173 • 30
8
votes
1
answer
54k
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1
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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 4.1 years ago by teamques10 ★ 64k
6
votes
1
answer
48k
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1
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If the vector field $\overline{F}$ is irrotational, find the constant a,b,c where $\overline{F} = (x + 2y + az)i + (bx - 3y -z)j + (4x + cy + 2z)k$. Also show the following.
engineering mathematics updated 18 months ago by sagarkolekar ★ 11k
4
votes
1
answer
47k
views
1
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Show that every square matrix can be uniquely expressed as the sum of Hermitian and skew Hermitian matrix.
engineering mathematics updated 4.1 years ago by teamques10 ★ 64k
2
votes
1
answer
46k
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1
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Reduce matrix A to normal form and find its rank where $ \\ \; \\ A=\left[ \begin{array}{cccc} 1 & 2 & 3 & 2 \\ 2 & 3 & 5 & 1 \\ 1 & 3 & 4 & 5 \end{array} \right] $
engineering mathematics updated 2.3 years ago by sagarkolekar ★ 11k
3
votes
1
answer
46k
views
1
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Fit a Poisson distribution to the following data
engineering mathematics updated 7.8 years ago by teamques10 ★ 64k
3
votes
1
answer
46k
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1
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In a distribution exactly normal 7% of items are under 35 and 89% of the items are under 63. Find the probability that an item selected at random lies between 45 & 56.
engineering mathematics updated 17 months ago by sagarkolekar ★ 11k
2
votes
1
answer
45k
views
1
answer
Reduce the matrix A to normal form and hence find its rank where $ \left[ \begin{array}{cccc}1&-1& 3& 6\\1& 3&-3 &-4\\5& 3 & 3 & 11\end{array}\right] $
engineering mathematics updated 4.1 years ago by teamques10 ★ 64k
5
votes
1
answer
45k
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1
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State and prove Euler's theorem for three variables and hence find the following
engineering mathematics updated 4.1 years ago by teamques10 ★ 64k
6
votes
1
answer
44k
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1
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Divide 24 into 3 parts such that the product of the first, square of second and cube of the third is maximum.
engineering mathematics updated 2.2 years ago by pedsangini276 • 4.7k
0
votes
1
answer
40k
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1
answer
Verify Cayley-Hamilton theorem for following matrix and also find the following
engineering mathematics updated 4 months ago by sagarkolekar ★ 11k
2
votes
1
answer
40k
views
1
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Show that G=[1,-1,i,-i] is a group under usual multiplication of complex number.
engineering mathematics updated 4.1 years ago by prashantsaini • 0
3
votes
1
answer
39k
views
1
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In a distribution exactly normal 7% of items are under 35 and 89% of items are under 63. Find the probability that an item selected at random lies between 45 and 56.
engineering mathematics updated 6.2 years ago by teamques10 ★ 64k
1
vote
1
answer
39k
views
1
answer
Prove that eigen values of Hermitian matrix are real
engineering mathematics updated 4.0 years ago by teamques10 ★ 64k
2
votes
2
answers
38k
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2
answers
State and prove Euler theorem for a homogeneous function in two variables and find $ x\dfrac{\partial u}{\partial x}+y\dfrac{\partial u}{\partial y} \;\; where\;u=\dfrac{\sqrt{x}+\sqrt{y}}{x+y} $
engineering mathematics updated 4.1 years ago by teamques10 ★ 64k
2
votes
1
answer
38k
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1
answer
If $u=x^2-y^2 \; , \; v=2xy \; and \; z=f(u,v) $ prove the following
engineering mathematics updated 4.1 years ago by teamques10 ★ 64k
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