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Page 1: Mathematics Coaching Notes 1

**MATH**

1. limits – fundamental idea of Calculus2. in Thermodynamic process, the area under the curve in the PV diagram – work

done on the system3. in Thermodynamic process, the area under the curve in the TS diagram – heat

transfer4. minimum number of incorporators in a company – 55. Fermat’s Last theorem – least proven theorem6. Pascal’s principle – fluid pressure is the same in all regions7. in experiments of tossing a coin, rolling of die, the probability of computing r

events in n trials – done by Bernoulli’s Binomial Theorem8. the estimated value at the end of useful life – salvage value9. 1 gross = 12 dozens10. 40 paces = 100 ft 11. 1 fathom = 6ft12. Archimedes - introduced buoyancy 13. buoyant force = density of object * volume submerged14. 20% - goes to government, standard withholding tax15. minimum number of stockholders – 5 to be corporation16. controlling party holds more than 50% of stocks17. to eliminated surge – multiply by its conjugate

partial capital of corporation must be at least 25% of the whole capital

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