Ask
Login
TAGGED IN

Engineering Mathematics

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

ALL TAGS
1
vote
1
answer
13k
views
1
answer
Evaluate $\int\int\int x^2 \ y \ z \ dx \ dy \ dz$ over the volume bounded by the planes x = 0, y = 0, z = 0 and $\frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1$
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
3
votes
1
answer
18k
views
1
answer
Using Gauss divergence theorem evaluate $\int\limits_{C}\bar{F} \cdot \overline{ds}$ where $F = 2x^2yi - y^2j + 4xz^2k$ and S is the region bounded by $y^2 + z^2 = 9$ and x = 2 in the first octant.
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
8
votes
1
answer
24k
views
1
answer
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 4.1 years ago by teamques10 ★ 65k
2
votes
1
answer
5.8k
views
1
answer
Change to polar co-ordinates and evaluate $\int_{0}^{2}\int_{0}^{\sqrt{2x-x^2}}\frac{x\,dy\,dx}{\sqrt{x^2+y^2}}$ .
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
1
vote
1
answer
14k
views
1
answer
Define Solenoidal vector. Hence prove that $\bar{F} = \frac{\bar{a} \times \bar{r}}{r^n}$ is a solenoidal vector.
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
2
votes
1
answer
16k
views
1
answer
Using Taylor's series method, obtain the solution of the differential equation $\frac{dy}{dx}=3x+y^2$ with $x_0=0,\,y_0=0$ at $x=0.1$ correct to four decimal places.
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
2
votes
1
answer
36k
views
1
answer
Find the constants a,b,c so that $\bar{F} = (x + 2y + az)\hat{i} + (bx - 3y - z)\hat{j} + (4x + cy + 2z)\hat{k}$ is irrotational
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
5
votes
1
answer
29k
views
1
answer
Find half range sine series for $f(x) = \pi x - x^2$ is $(0, \pi)$ Hence deduce that $\frac{\pi^3}{32} = 1 - \frac{1}{3^3} + \frac{1}{5^3} - \frac{1}{7^3}$
engineering mathematics updated 4.6 years ago by teamques10 ★ 65k
5
votes
1
answer
27k
views
1
answer
Find half range cosine series of $f(x) = sinx$ in $(0, \pi)$ Hence deduce that $\frac{1}{1.3} + \frac{1}{3.5} + \frac{1}{5.7} +..... = \frac{1}{2}$
engineering mathematics updated 4.6 years ago by teamques10 ★ 65k
0
votes
1
answer
5.6k
views
1
answer
Show that the transformation \( w=\dfrac{i-iz}{1+z} \) maps the unit circle |z|=1 into real axis of w plane.
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
24k
views
1
answer
Find the nth derivative of y =sin x sin 2x sin 3x.
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
6.5k
views
1
answer
Show that every square matrix can be uniquely expressed as the sum of Hermitian matrix and a skew Hermitian matrix.
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
338
views
1
answer
Determine linear dependance or independance of vectors x1=[1,3,4,2] x2==[3,-5,2,6] x=[2,-1,3,4] and if dependent find the relation between them.
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
843
views
1
answer
By using Taylor's series expand tan-1 x in positive powers of (x-1) upto first four non-zero terms.
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
2
votes
2
answers
9.5k
views
2
answers
Separate into real and imaginary parts of tanh-1 (x+iy).
engineering mathematics updated 2.2 years ago by v2ishu789 • 40
1
vote
1
answer
11k
views
1
answer
Find the maximum and minimum values of x3+3xy2-3x2-3y2+4
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
472
views
1
answer
Fit a second degree parabolic curve to the following data : | x : | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 || y : | 2 | 6 | 7 | 8 | 10 | 11 | 11 | 10 | 9 |
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
4.6k
views
1
answer
if y = ex cos2x cosx find yn
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
332
views
1
answer
Find the values of a,b & c such that \[ \lim_{x\to 0} \dfrac {a e^x - be^{-x}+cx}{x-\sin x}=4 \]
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
6.8k
views
1
answer
Separate into real and imaginary parts of Log (3+4i)
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
266
views
1
answer
Find the value of a and b [ ext{if}lim_{xightarrow 0}dfrac{x(1+acos x)-bsin x}{x^3}=1]
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
304
views
1
answer
Express the matrix A as sum of Hermition and skew Hermition matrix where \[ \begin{bmatrix}3i &-1+i &3-2i \\1+i &-i &1+2i \\-3-2i &-1+2i &0\end{bmatrix} \]
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
1.9k
views
1
answer
If ux=yz,vy=zx, wz=xy find \[ j \left [ \dfrac {u,v,w}{x,y,z} \right ] \]
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
226
views
1
answer
\[ If \ u = x^y \ find \ \dfrac {\partial^3 u}{\partial x \partial y \partial x} \]
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
0
votes
1
answer
1.3k
views
1
answer
\[ If \ \tan \dfrac {x}{2} = \tan h \ \dfrac {u}{2} \ then \ S.T. \\ u=\log \tan \left ( \dfrac {\pi}{4} + \dfrac {x}{2} \right ) \]
engineering mathematics updated 2.5 years ago by binitamayekar ★ 6.4k
<prev • 1,668 results • page 2 of 67 • next >