Find and plot the roots of
z7 +1 = 0
Represent the following complex numbers in alternative form (polar ßà {Re,Im} z=x +jy ) a) 1 + j1 – j
5 e j210°
5 e -j210°
z z*
if w = ez and z=1+j find log(w)
Use Euler’s identity to find trigonometric identities in terms of sin(α), sin(β), cos(α), and cos(β):sin(α + β)
cos(α + β)
Write a script in Matlab to plot cosine signal with frequency 2Hz and amplitude 4 damped with time constant of 1 second (e-t ) for two seconds and sampling frequency of 20 Hz.
Plot the signal using plot and stem functions in Matlab.
Accelerometer with analog output, sensitivity ±2g, and power supply of +3V is used in smartphone to determine orientation of the smartphone according to the figure below.
What are the values of X and Y components [in Volts] for the following positions
a)
b)
c) d)
X =
X =
X = X =
Y =
Y =
Y = Y =
What is the angle of the smartphone if:
X = 1.875 V, Y = 0.8505 V à α =
X = 2.1495 V, Y = 1.875V à α =
Please draw a phone as a part of the solution to avoid confusion.
