Q1-Find all possible time domain signals corresponding
to the following z-transform:
X(z) = (z3 + z2 + 3/2 z + 1/2 ) /
(z3 + 3/2 z2 + 1/2 z)
Q2-A digital linear time invariant filter has the
following transfer function:
H(z) = (5 + 5z-1) / (1 - 3/8 z-1 + 1/16
z-2)
a) Find the impulse response if the filter is causal.
Let
F(x, y,
z) = z
tan−1(y2)i
+ z3
ln(x2 + 8)j +
zk.
Find the flux of F across S, the part
of the paraboloid
x2 +
y2 + z = 28
that lies above the plane
z = 3
and is oriented upward.
S
F · dS =
Let F(x,y,z) = < z tan-1(y2),
z3 ln(x2 + 1), z >. Find the flux of F
across S, the top part of the paraboloid x2 +
y2 + z = 2 that lies above the plane z = 1 and is
oriented upward. Note that S is not a closed surface.
given z1=2+j3, z2=7+j1, z3=5+j9. find the value of the following
expressions in both coordinate and Euler forms. a)
z1z2,z2z3,z3z3(dash on top z),(z1+z3)z2 b) z1/z2,z2/z3,z3(dash on
to[ z)/z3,(z1+z2)/z3.
Velocity field for this system is:
V=[X^2-(y*z^1/2/t)]i-[z*y^3+(x^1/3*z^2/t^1/2)j+[-x^1/3*t^2/z*y^1/2]k
find the components of acceleration for the system.
Let F(x, y, z) = z tan^−1(y^2)i + z^3 ln(x^2 + 7)j + zk. Find
the flux of F across S, the part of the paraboloid x2 + y2 + z = 29
that lies above the plane z = 4 and is oriented upward.