A coaxial cable is 10 meters long, and is filled with lossless Teflon, having a relative permittivity of 2.1. There is a matched load at the end of the line (this means that there is no reflection at the end, so there is only a signal traveling in the z direction). At the input of the line, a sawtooth waveform is applied, having a peak voltage of 1.0 [V] and a duration of 1.0 [ns] (the time from the beginning of the waveform until the end). Required:
Make a plot of the voltage as a function of distance z on the line, at the following times:

a. 0.0 [ns]
b. 0.5 [ns]
c. 1.0 [ns]
d. 10 [ns]
e. 25 [ns]
f. 40[ns]
g. 49 [ns]
h. 49.44 [ns]
i. 50 [ns]
j. 51 [ns].

For each time, choose appropriate limits on your horizontal axis (distance z) to make the plot easy to read.

firearm identification is the process of analyzing the bullets and cartridge cases left at a crime scene to determine if they came from a particular firearm. marks on the bullets and cartridges may be common to every firearm of that type. these are called class characteristics.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2