I) find the poles of the continuous time third order normalized butterworth low pass filter and derive the transfer function. (5+5-10 points) approximate this continuous time filter with a digital filter using a) impulse invariance method b) step invariance method c) finite difference design-backward difference d) finite difference design-forward difference e) bilinear method f) matched z-transform g) direct substitution 1) use fs 1000 samples per second for each design from (a) to (g), find the transfer function, poles and zeros of each digital filter, and plot the frequency response over the range-4π < ω < 4π

learn it on the intertant so you can solve

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14

magnified images possible images can be real = projected onto a screen

the old price per ounce is c/4.

the new price per ounce is c/3.6.

the ratio of the old price to the new one is

(c/4)/(c/3.6) = (c/c)×(3.6/4) = 0.9 . . = 9/10 . . "nine tenths" in either form