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A firm is considering three mutually exclusive alternatives as part of a production improvement program.



The alternatives are:



A B C



Installed cost $10,000 $15,000 $20,000



Uniform annual benefit 1,625 1,530 1,890



Useful life, in years 10 20 20



The salvage value at the end of the useful life of each alternative is zero. At the end of 10 years,



Alternative A could be replaced with another A with identical cost and benefits. The maximum attractive



rate of return is 6%. Which alternative should be selected

a) Find the total amount of electrons embedded within the sphere with r = 6 m, given that the ρv = ‒ 14/(r sin 𝜃) nC/m3


b) A standard good quality USB fast charging wire should capable to deliver a maximum power of 100W. Ali has bought a cheap USB wire from RM2 shop. He found that the wire with length of 2.0 m only capable to charge his mobile phone, at 5V 2A. As a technologist and scored A+ in the subject of Electromagnetic Theory, Ali knows that in order to fast charge his phone, he has to replace the low current density cheap wire. Ali saw that Mr.DIM shop selling the single core wire come with specification of 282.8 nΩm and 1.2 mm diameter. If he wishes to rebuild a same length of USB-C wire which is capable to deliver a fast charging current of 4.5A,


(i) what is the minimum electric current density of the desired wire?

(ii) is the wire that Ali saw in Mr.DIM shop suitable for this wire rebuild project? Justify your answer with mathematical prove with assuming the phone impedance is 1Ω.


A shipment of 7 television sets contains 2 defective sets A hotel makes a random purchase of 3 of the sets: a) If x is the number of defective sets purchased by the hotel, find the probability distribution of x Express the results graphically as a probability histogram. b) Find the cumulative distribution function of the random variable X representing the number of defectives. Then using flx), find (a) p(X = 1); (b) p(O < X s 2).

Hydrogen can be produced using a process called coal gasification. It is desired to supply nearly pure oxygen to this process. Oxygen is separated from nitrogen out of the air (79 mol% nitrogen and 21 mol% oxygen) via a process known as cryogenic distillation. A cryogenic distillation unit has a feed of 2000 kgmol/hr air. The top stream has 1400 kgmol/hr nitrogen and the bottom stream has 320 kgmol/hr oxygen. a. Draw and label the flowchart of the process in block diagram. b. Write balances on the oxygen and nitrogen to determine the unknown component molar flow rates.


Alight ray is incident from glass to air. If the transmitted power is 0 dB,


compute the reflected power.

  • 4. Re-connect Figure 1. (a) with R equal to 50 ohms, L equal to 100 mH, and

sketch the waveforms of input voltage, output voltage, and output current.


Compare the results with the results in Figure 1. By calculation of:


a. The dc output voltage.


b. The r.m.s. input voltage source.


c. The energy that transfer from the source to the inductor.


d. The efficiency of rectification.

https://www.chegg.com/homework-help/questions-and-answers/rs-m-ana-tyde-3-re-connect-figure-1-r-equal-50-ohms-sketch-waveforms-input-voltage-output--q66270555 link of figure


Reflection Question: If you had to create a countersink hole using only Revolve and Extrude, what would the modeling process look like? Do you agree that the Hole feature simplifies the hole creation process? Why?




Using the method of joints, calculate the force in each member of the trusses shown. State whether each member is in tension or compression. Note that the truss geometry is symmetric. E 8 ft A B D IC QIQI 6 ft 8 ft 2000 lb -6ft- 1200 lb


.Three loads, each of resistance 30Ω are connected in star to a 415V, 3-phase supply. Determine :(i) The system phase voltage (ii) The phase current (iii) The line current


Determine the chebyshev spacing for the function y = x 1.5 for the range 1≤ X ≤4 and specify three precision position using graphical approach only. Also determine the values of ɸ And y. assume θ S = 30ᶿ and ɸ s=90ᶿ and Δ θ = Δ ɸ = 90ᶿ

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