Given a digital filter with the following numerator and denominator coefficient vectors, respec-
tively:
num= 0.8831, 1.6234, 2.5118, 1.6234, 0.8831, and
den= 1., 1.7342, 2.5277, 1.5502, 0.7998.
find the poles and zeros of the filter transfer function. is the filter stable?
plot the magnitude and phase of h(ejω) of the filter. hence, determine the type of filter
(lp, hp, bp, or notch) it represents.
determine the 3-db bandwidth of the filter.
if the sampling period is t = 10 µsec, determine the 3-db bandwidth in hz.

Juan created a chart to him study for a test. which headings best complete the chart? x: transparent objects y: opaque objects x: opaque objects y: transparent objects x: high frequency waves y: low frequency waves x: low frequency waves y: high frequency waves

Boxing gloves are padded to lessen the force of a blow. (a) calculate the force exerted by a boxing glove on an opponent’s face, if the glove and face compress 7.50 cm during a blow in which the 7.00-kg arm and glove are brought to rest from an initial speed of 10.0 m/s. (b) calculate the force exerted by an identical blow in the gory old days when no gloves were used and the knuckles and face would compress only 2.00 cm. (c) discuss the magnitude of the force with glove on. does it seem high enough to cause damage even though it is lower than the force with no glove?

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.