Ask
Login
1
vote
1
answer
1.7k
views
1
answer
Reduce the matrix A to normal form and hence find its rank where \[ A=\begin{bmatrix}0 &1 &-3 &-1 \\1 &0 &4 &3 \\3 &1 &0 &2 \\1 &1 &-2 &0 \end{bmatrix} \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
340
views
1
answer
\[ P.T.\ sinhx = X + \dfrac {x^3}{3!} + \dfrac {x^5}{5!} + \dfrac {x^7}{7!}+ \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
442
views
1
answer
\[ \text {if } x =\cos \Big [ \log \big (y^{1/m} \big) \Big ] \] then prove that (1-x2)yn+2-(2n+1)xyn+1-(m2+n2)yn = 0
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
2
votes
1
answer
1.3k
views
1
answer
If cos6θ+sin6θ = α cos 4θ+β then prove that α+β=1.
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
545
views
1
answer
Apply Crout's method to solve \[ \left\{\begin{matrix} x-y + 2z=2 \ \ \\ 3x+2y-3z=2 \\ 4x -4y+2z=2 \end{matrix}\right. \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
1.6k
views
1
answer
If u=xyz, v=x2+y2+x2, w=x+y+z then prove that \[ \dfrac {\partial x}{\partial u} = \dfrac {1}{(x-y)(x-z)} \]
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
383
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 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
628
views
1
answer
Give the preperation, properties and uses of dolomite bricks.
engineering chemistry updated 4.9 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 4.9 years ago by teamques10 ★ 70k
1
vote
1
answer
3.9k
views
1
answer
Find the values of a,b,c and A-1 when \[ A=\dfrac {1}{9} \begin{bmatrix} -8 &4 &a \\ 1 &4 &b \\4 &7 &c \end{bmatrix} \] is or orthogonal.
differential calculus and geometry updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
517
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 4.9 years ago by teamques10 ★ 70k
2
votes
1
answer
9.1k
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 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
525
views
1
answer
Prove that ( cos^6 heta+sin^6 heta=dfrac{1}{8}[3cos 4 heta+5] )
engineering mathematics updated 4.9 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 4.9 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 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
740
views
1
answer
Define phase, component and degree of freedom.
engineering chemistry updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
522
views
1
answer
State an prove Euler's theorem for a homogeneous function in two variables.
engineering mathematics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
531
views
1
answer
Examine whether the vectors X1 = [3 1 1], X2 = [2 0 -1], X3 = [4 2 1] are linearly independent.
engineering mechanics updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
442
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 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
3.6k
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 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
462
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 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
684
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 4.9 years ago by teamques10 ★ 70k
4
votes
1
answer
13k
views
1
answer
Explain the application of phase rule to one component system.
digital communication updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
1.1k
views
1
answer
What is glass transition temperature? What is its significance?
engineering chemistry updated 4.9 years ago by teamques10 ★ 70k
0
votes
1
answer
1.3k
views
1
answer
15,000 litres of hard water was passed through a zeolite softener. The exhausted zeolite required 120 litres of NaCl having 30 g/litre of NaCl. Calculate the hardness of water.
engineering chemistry updated 4.9 years ago by teamques10 ★ 70k
<prev • 28,287 results • page 513 of 1132 • next >