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X & Y are Gaussian random variables with E[X]=1, E[Y]=2, E[XY]=.1, VAR[X]=5 & VAR[Y]=10. Define the vector V=(matrix) 1 1;1 -1 matrix X;Y. Find the mean of E[V], covariance martix for V, use matrix notation and write the density f(V) using the result from the mean and covariance martix.
What are the incremental savings that result from increasing the efficiency of a PV collector by 1% in terms of collector area and costs? Assume that the PV module represents about 50% of the total PV system cost.
The Per-cent impedance of a single-phase electric load is 2.5. The base power is 100KVA, and the base voltage is 12.47KV. a find the per-unit impedance of the load if 400KVA and 20 KV are selected as base values.
If you have an M/M/Infinity system with arrival rate lambda and service rate mu(µ), how would you show that the expected number of packets in the queue is equal
An FM transmitter delivers to a 75 ohm antenna a signal voltage of V (t)= 1000 sin (10^9t+4 sin 10^4t), determine: (a) carrier frequency; (b) intelligence frequency; (c)modulation index; and (d)total power in FM signal
a) show the truth table b) show an algebraic expression in sum of minterms fom. c) show a minimum sum of products expression d) show the minterms of the complement of each function in numeric form.
The input of a lightly loaded transmission gate is slowly Ajit Pal, IIT Kharagpur Ajit Pal, IIT Kharagpur changes from HIGH level to LOW level. How the currents through the two transistors vary
A pump supplies oil at 0.0016 m3/s to a 40 mm diameter double-acting hydraulic cylinder. If the load is 5000 N (extending and retracting) and the rod diameter is 20 mm, find the Hydraulic pressure during the extending stroke.
A current element of length 1cm is located at (1m, 3m, 4m) in free space and carries a current of 20mA along ay. An infinitely long filamentary current of 12A along az passes through the coordinate origin (0,0).
If the resistance path from the wall outlet end of the neutral wire to ground is 23ohm. what is the voltage of that point (relative to ground) if a 26 W compact fluorescent bulb is connected to the outlet
A six pole,60 Hz synchronous motor is connected to an infinit bus of 15 KV through a transmission line.The synchronous reactance of the motor is 5 ohm ,and the inductive reactive reactance of the transmission line is 2 ohm
The load resistances of op amps range from a few Ohms to a couple of hundred Ohms. What would happen if the load resistance is very low and approaches that of the output resistance of the op amp
The neutralization occurs on-line in the discharge piping by addition of acid or base as required based on upstream pH measurement. draw an appropriate control scheme using the simplified ISA symbols.
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