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(a) Choose a four-digit decimal number such that the outer digits sum to 10, the inner digits sum to 8, and the second digit is one less than the first digit.
Now multiply this number by the last digit, and divide by the first digit. The result is the original number with the digits in reverse order. This is the digit-reversing property
(c) Use algebra to show why any four-digit number created according to the algorithm given in part (a) must have the digit-reversing property.
(d) Are there four-digit numbers in other bases with the digit-reversing property? Show that there are by developing an algorithm to generate them in base R, and use algebra to show that numbers generated by your algorithm will have the digit-reversing property. Then generate examples in binary, octal and hexadecimal and show that these numbers have the digit-reversing property.
A 4 pole 50 kW dc machine has a value of Ea = 110 V at 1100 rpm. What is the induced voltage is the speed is increased 20%. Note: omega(w) = (2f*n)/60 where omega is in rad/sec, and n is in rpm
A resistor on a Wheatstone bridge is replaced with a strain gage which has a nominal resistance of 120 Ohms and a gage factor of 2.06. The remaining resistors on this quarter-bridge Wheatstone bridge circuit are 120 Ohm fixed resistors.
How would you determine whether a given function, f(t), had finite or infinite energy. Give an example of a function with finite energy and one with infinite energy.
A transformer has a primary windings of 800 turns and a secondary windings of 200 turns. When the load current on secondary is 80 A at 0.8 p.f, lagging, the primary current is 25 A at 0.707 p.f. lagging.
Two point charges of +Q and -3Q are located at points (0, 0, 0) and (0, 4a, 0) respectively. Find the Electric Field at P1 (0, 0, 3a) and at P2 (0, 4a, 3a)
A company has 100 metal halides (400W each with 1.2 ballast factor) and four motors (each with 50 hp capacity, 95% efficiency, 100% load factor, and 80% power factor). The power factor for the combined load
The rotor of a 4 pole generator is wound with a 100 turn coil. If the flux per pole is 4.5mWb and the rotor turns at a speed of 1800 rpm, determine (a) The frequency of the induced voltage in the rotor.
A flashlight battery with a voltage of 1.2 would be considered. During servicing, Ni-Cad batteries are normally overcharged to of the rated amp-hour capacity. What is done in an airplane in flight to mitigate this complication
A 2.19 x 10-2-kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 120 N/m. The block is shoved parallel to the spring axis and is given an initial speed of 10.5 m/s
Three screws are drawn at random from a lot of 200 screws, 10 of which are deffective. Find the probibility thats the screws drawn will be nen defective in drawing a.) WITH replacement
The maximum radius a falling liquid drop can have without breaking apart is given by the equation: R = sqrt((sigma/gp)) where sigma is the liquid surface tension, g is the acceleration due to gravity, and p is the density of the liquid.
A Motorola 68000 microprocessor-based data acquisition system incorporates memory ( EPROMS and SRAMS), an Analog-to-Digital Converter (A/D), a Centronics Parallel Printer, and a very simple I/I Device made up of a single push-button switch.
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