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a) Prove the following "Parallellogram law'' for two complex numbers z and w:
b) Let f(x) = x - Cos(x)
Show that the equation f(x) = x - cos(x)=0 has only one solution x0 in the interval (Π/6, Π/4).
a) Derive the general solution of the identity:
(dy/dx + y)ex = x.
a) Derive the Fourier Transform of the function:
b) Using the result in Q4(a), plot the Fourier Transform graph
c) Apply the convolution theorem to functions:
f(x) = e-αx2
g(x) = e-bx2
A 480V, 60 Hz three phase induction motor has the following parameters: R1=R' 2= .3 ohms Xeq= 1 ohm Xc=600 ohms At full load, the motor speed is 1120 rpm, the rotational loss is 400W and the core loss is 1 kW.
Consider the casual LTI system where the output relates to the input by the following differential equation: dy(t)/dt + 2y(t) = x(t) a) Determine the frequency response H(jw).
how would i convert multisim a circuit that will convert that 0-10vdc signal into a 4-20ma signal for the long haul.
A. Make a two bit counter with The input X =0 makes the counter count from 0-3-1-0 and X=1 goes from 0-1-2-3-0. Choose two different types of flip flops to implement it. B. Describe what will happen on your circuit when the present state is 2 and ..
The attenuation coefficient in that equation determines the loss. On the other hand, we frequntly discuss the loss in terms ofdecibels per kilometer. => Show that the power change in dB/km and the attenuation coefficient α are related
A series circuit consisting of a 0.398-henry inductor and a 212-µF capacitor is connected to a 125-volt variable frequency source. At what frequency will the circuit take a lagging current of 2.5 A
An npn transistor of a type whose P is specified to range from 60 to 300 is connected in a circuit with emitter grounded, collector at +9 V, and a current of 50 pA injected into the base.
If there are 500 atoms in the sample and assuming that from any state all possible downward transitions are equally probably, what is the total number of photons that will be emitted when all atoms return to the ground state
A 2 farad capacitor is charged up to 400v by a dc power supply. How long in seconds would it take to discharge the capacitor to a safe stored energy level of 1 joule using a 1k ohm high wattage resistor bank.
An electric bass amp is advertised as being able to deliver 200 Watts toan 8 Ohm speaker and 300 Watts to an 4 Ohm speaker. If the amp is a voltage source with an internal resistance, what is the value of the internal resistance
Sketch a graph of the drain-source current, IDS, as a function of drain-source voltage, VDS, for an enhancement-mode NMOS transistor with a threshold voltage of 1 V. On the same graph indicate how this curve would be shifted for a depletion-mode N..
What is the peak frequency deviation of the FM signal and bandwidth of the FM signal? The signal is received with CNR = 30.0 dB. What is the SNR of the recovered video signal at the radio receiver output?
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