Ask
Login
TAGGED IN

Engineering Mathematics

Follow this tag to get notifications whenever a new post is added

ALL TAGS
0
votes
1
answer
406
views
1
answer
show that \[ \tan^{-1} \left ( \dfrac {x+iy}{x-iy} \right ) = \dfrac {\pi}{4} + \dfrac {i}{2}\log \left ( \dfrac {x+y}{x-y} \right ) \]
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
0
votes
1
answer
2.4k
views
1
answer
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 5.1 years ago by teamques10 ★ 70k
0
votes
1
answer
542
views
1
answer
Prove that \[ \log \sec x=\dfrac {x^2}{2}+ \dfrac {x^4}{12}+ \dfrac {x^6}{45}+ \cdots \ \cdots \]
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
2
votes
1
answer
9.2k
views
1
answer
If y = etan-1x prove that (1+x2)yn+2+[2 (n+1) x-1]yn+1+n (n+1)yn = 0
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
0
votes
1
answer
575
views
1
answer
Prove that ( cos^6 heta+sin^6 heta=dfrac{1}{8}[3cos 4 heta+5] )
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
0
votes
1
answer
1.0k
views
1
answer
Solve the system of equation by Gauss Siedel Method. 2x - 4y + 49z = 49 43x + 2y + 25z = 23 3x + 53y + 3z = 91
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
0
votes
1
answer
8.3k
views
1
answer
Solve the system of equation by Gauss Jordan Method x + 2y + 6z = 22, 3x + 4y + z = 26, 6x - y - z = 19
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
0
votes
1
answer
584
views
1
answer
State an prove Euler's theorem for a homogeneous function in two variables.
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
0
votes
1
answer
467
views
1
answer
find the rank of the Matrix by reducing it to normal form. [egin{bmatrix} 1 & 1 & 1\ 1 & -1 & -1\ 3 & 1 & 1 end{bmatrix}]
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
0
votes
1
answer
3.7k
views
1
answer
Using De Moivre's theorem prove that \[\cos ^6\theta -\sin ^6\theta =\frac{1}{16}\left ( \cos 6\theta +15\cos 2\theta \right )\]
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
0
votes
1
answer
501
views
1
answer
If \( y = \left ( x+\sqrt{x^2-1} \right )^m \)/, Prove That \[\left ( x^2-1 \right )y_{n+2}+(2n+1)xy_{n+1}+\left ( n^2-m^2 \right ) y _n =0\].
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
0
votes
1
answer
714
views
1
answer
Solve the following system of equations by Gauss-Seidel Iterative Method upto four interations. 4x-2y-z=40 x-6y+2z=-28 x-2y+12z = -86
engineering mathematics updated 5.1 years ago by teamques10 ★ 70k
2
votes
1
answer
8.8k
views
1
answer
Using cauchy residue theorem evaluate the following integral $\oint_c \frac{e^{z}dz}{(z^{2}+\pi^2)^2} dz $ Where C is the circle $|z|=4$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
0
votes
1
answer
2.9k
views
1
answer
Using cauchy residue theorem evaluate the following integral $\int_0^{2\pi} \frac{cos2\theta}{5+4cos\theta} d\theta$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
1
vote
1
answer
4.3k
views
1
answer
$\int_c \frac{sin^6z}{(z-\frac{\pi}{6})^3}$ dz where c is the circle |z|=1
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
0
votes
1
answer
1.2k
views
1
answer
Expand f(z) = $\frac{1}{z^2(z-1)(z+2)}$ about z=0 for i)|z|<1 ii)1<|z|<2 iii)|z|>2
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
0
votes
1
answer
1.9k
views
1
answer
Show that $\int_c log z dz= 2 \pi i $ where c is the unit circle in z-plane.
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
0
votes
1
answer
2.9k
views
1
answer
Using cauchy residue theorem evaluate the following integral 1) $\int_0^{2\pi} \frac{d\theta}{5+3sin\theta}$ 2) $\int_{-\infty} ^\infty \frac {x^2}{(x^2+a^2)(x^2+b^2)}dx$ a>0,b>0
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
1
vote
1
answer
4.2k
views
1
answer
Obtain Taylor series and two distinct laurent series expansion of f(z)=$\frac{z-1}{z^2-2z-3}$ indicating the region of convergence.
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
0
votes
1
answer
1.2k
views
1
answer
Evaluate $\oint_c \frac{e^{2z}}{ (z+1)^4} dz$ where C is the circle |z-1|=3
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
3
votes
1
answer
17k
views
1
answer
Evaluate $\int_0^{1+i} z^2 dz$ along 1)the line y=x 2) the parabola x = $y^2$ is the line integral independant of the path p.
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
0
votes
1
answer
5.5k
views
1
answer
Calculate Rank correlation co-efficient for the following data \begin{array}{|c|c|c|c|} \hline X& 10 & 12 & 18&18&15&40 \\ \hline y& 12& 18&25&25&50&25 \\ \hline \end{array}
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
1
vote
1
answer
2.9k
views
1
answer
Calculate R(pearman's rank correlation) and r(karl-pearson's) from the following data. interpret our result.
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
2
votes
1
answer
12k
views
1
answer
In an examination marks obtained by students in maths ,physics and chemistry are normally distributed with mean 51,53,46 and with standard deviation 15,12,16 respctively find the probability of
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
0
votes
1
answer
6.2k
views
1
answer
Find the m.g.f.of a Random variable ,whose probability density function is , $p(X=x) = \begin{cases} (\frac{1}{2})^x, & \ x \ = 1,\ 2, \ 3... \\ 0, & elsewhere \end{cases}$ Hence find mean & variance.
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
<prev • 1,668 results • page 43 of 67 • next >