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Demonstrate the principle of the Solovay and Strassen primality test on the number m = 33 The number m has been made small in this problem to keep the calculations simple. So, do not make use of numbers that "incidentally" have a factor in common with m.
If this machine is operated from a 440-V dc supply, determine the speed at which this motor will run and the current taken from the supply, assuming no mechanical load, no friction and wind age losses, and that the field current is maintained at 4..
The temperature of the cold tap water is 22.0C, and the temperature of the hot tap water is 55.0C. If a student starts with 90.0 g of cold water, what mass of hot water must be added to reach 37.0C? Explain in detail how you arrived at your ans..
What is the potential difference between the starting point and the top point of the trajectory?
What is the very largest torque T that can be applied with elastic behavior everywhere? (Hint: cut combined shaft at C and consider separate shaft). What are the supporting torques?
A charge variation with time is given in Figure P1.1.8. Draw the corresponding current variation with time.
Assume that the absorbance of each form of the dye is linearly related to its pH. Devise a method to measure the pH of the dye.
In Number 1 it was assumed that the input and output flow rates could be independently varied. Consider a situation in which the outlet flow rate is a function of the height of liquid in the tank. Write the modelling equation for tank height assum..
Calculate the amount of heat needed to raise the temperature of the solution to 40 °C under constant pressure of 1 bar.
By a two-way analysis of variance determine whether the variance between the reactors and between the temperatures is highly significant (0.01 probability level). Even though no replicates were made at any condition,
What is the pressure of the oxygen gas if the vapor pressure for water at 25°C is 23.8 mm Hg?
A 500-hp, wye-connected, wound-rotor induction motor, when operated at rated voltage and frequency, develops its rated full-load output at a slip of 0.02; maximum torque of 2 times the full-load torque at a slip of 0.06, with a referred rotor curr..
Equation (13.65) represents a recursive relationship between a sequence x[n] and its complex cepstrum [n]. Show from Eq. (13.65) that the characteristic system D∗[·] behaves as a causal system for minimum-phase inputs; i.e., show that for minimum-..
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