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My question is how to get from equation A to B.
By using partial fractions? Differential? Any methods?

equation A = [(z^2 + 1) sin(z)] / [(z-j)(z+3)]
equation B = sin (z) / z(-3j)

I am trying to find the z0 to z6 roots of this equation but I am stuck here. Anyone care to show the step by step on how to procced?

z^{6}-1 = \left [\frac{64j(1-j)}{1+2j} \right ]^{6}
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Determine the location and nature of singularities in the finite z plane of the following functions:
(a) f(z) = ( z^{2} - 1) sin(z)/[z(z+1)(z+2)(z-3)]
(b) g(z) = [1 + cos(z)]/ z^{8}

Using...

Show that sin(z) satisfies the CAUCHY - RIEMANN conditions for analyticity for all values of z. Does [1/sin(z)] satisfy similar conditions? Calculate the derivative of [1/sin(z)] at z=0, \pm \Pi...

Solve the equation : z^{6}-1=[64j(1-j)/(1+2j)]^6 giving your answers in the form of a + jb. Show that there can be only be 8 distinct roots.

Solve the equation : z^{6}-1=[64j(1-j)/(1+2j)]^6 giving your answers in the form of a + jb. Show that there can be only be 8 distinct roots.

1) 2-bit DIP switch is connected to a adder chip. (74283)
*The 2 bit DIP switch will act like a Round Score.
2) If push button is pressed, the Round Score is added to the previous output of the...

Maths Help

A) The co-ordinates of points are given by
x = \frac{u + v}{\sqrt{2}}, y = \frac{u - v}{\sqrt{2}}, z = uv

i) Explain why the totality of points given by the equation form a surface.
ii)Find...

Your steps are very clear.. Thanks for explaining! :)

Wow. That was fast :)

What if the question asked for I)the acceleration, ii) unit tangent, iii)radius of curvature and principal normal ?

*what do they mean by principal normal?

Thanks...

The position of a particle at time, t, during the time interval t = 0 and t = 1, is given by the co-ordinates

X = t - \frac{t^{3}}{3}, Y = t^{2}, Z = t + \frac{t^{3}}{3}

Find the following...

The co-ordinates of points are given by

X=\frac{u+v}{\sqrt{2}}, Y=\frac{u-v}{\sqrt{2}}, Z=uv

(i) Explain why the totality of points given by the above equations form a surface.

(ii)...

Thanks again for your time.
Even though there are some missing symbol I manage to figure it out. :)

1)Given a circular matrix

A=\begin{bmatrix}
a& b& c\\
c& a& b\\
b& c& a
\end{bmatrix}


B=\begin{bmatrix}

Let me try to explain the whole question.


1)Given a circular matrix

A=\begin{bmatrix}
a& b& c\\
c& a& b\\
b& c& a
\end{bmatrix}

Yes A is a 3x3 matrix and X1 is 3x1 matrix.

So meaning to say the vector X1 (above) the corresponding values of \lambda 1 is
a+b+c?

What if the value of X1 is \left [ 1, ...

The sign I wanted to show λ is lamda

Really helpful. :)

By the way I got this question regarding matrix,

If A=[ a b c
c a b
b a c ]

X1 = [ 1 1 1]T (transpose)

Hi,

I need your help to get me started. Im totally lost.

Find the perpendicular distance of the plane 5x + 2y - z = -22 from origin O by first finding the co-ordinates of the point P on the...

Thanks for the input. Really helped me. Appreciate your time.

Do you mind sending me your working solution so that I could compare it with mine and see what went wrong.
T

How is Venus different to earth?

Hi Jcaron2,

For Part(F) My answer for P is

P =
[ 1 -1 0 0... 0
-1 2 -1 0... 0
0 -1 2 -1... 0
0 0 -1 2... 0

Hi, I have re written the question.

1. Consider a sequence of real-numbers r1, r2, rN. Using these we create an
(N x N)square matrix R such that(I, j)th element of R = rk, where k = min(I, j),...

Hi, Below are the full question. I have already done part A to E, stuck at F & G. Thanks.

1. Consider a sequence of real-numbers r1, r2, …, rN. Using these we create an
(N × N)
square matrix...

A. Now consider the product P = ST are S, where S is an upper triangular matrix having 0 everywhere except 1 on the main diagonal and ?1 on the first super diagonal. Write the exact form of P.

B....