EMT 201 AREA OF CONCENTRATION

Zip line- Adventure

Zip line- Adventure

Garden of Eden

Garden of Eden

AREA OF CONCENTRATION-FINAL EXAM FEBRUARY 2013

ENGINEERING MATHEMATICS 1 (EMT 201) PROBLEMS

These are the areas of concentrations. Try to solve by yourself as part of the review on the Final Exam in February 2013 . Similar problems will be coming out.

  1. Bacteria are growing at the rate equal to 10.60 % of its population each week. If in the beginning there are 2000 microorganisms, how many organisms are present after

A) 4 weeks           b) 2 months

2. An engineering student deposited N400, 000.00 at an annual rate of 18.55 % compounded continuously, how long will it take the account to triple in value?

3. A tank contains 222 liters of water. A bitter lemon solution containing 3 kg/liter of sugar enters the tank at the rate of 6 liters/min and runs out at 5 liters/min. The tank has a paddle that keeps on stirring in order to keep the mixture uniform. Find the amount of sugar in the tank after 1 hour.

4.       Determine the value of current I flowing in a resistor R= 100 ohms, an inductance L = 7 henrys and a battery E = 100 volts connected in series.

5. A Madonna University canteen serves a cup of tea at 96C   to an engineering student. After 3 minutes, the tea has cooled to 78C . If the canteen temperature is 18C , how many minutes that the student must wait to cool the tea to 46C?

6.Solve y” + y’ -2y = e 3x    using a) undetermined coefficient method

b) Variation of parameter method

7. Solve y’ + 6y = 0,          y=2    when t=0.  Solve by Laplace transform.

8. How much will be left after 600 years for a radioactive element carbon 14 which has a half life of 5750 years if the initial amount is 50 grams? Solve by Laplace transform.

9. Determine the equation of motion of a 40 kg mass suspended to a coiled spring with k = 2000 N/m, initially displaced a distance of 1 meter from equilibrium position, and released with zero velocity and subjected to no damping or external forces. Solve by Laplace Transform.

10.  A student deposited N200, 000.00 at an annual rate of 8.25 % compounded continuously, how long will it take the account to double in value? Solve by Laplace.

11.Find the area bounded by a parabola y=x2 from x =0 and x=6 by vertical and horizontal elements methods.

12.Determine the accumulated amount of N22000.00 after 12 years if invested at a nominal interest of 4 % is compounded continuously?

13. A hemispherical tank 8 meters in radius contains mercury to a depth of 4 meters. Find the volume of mercury in the tank.

14. The watermelon is ellipsoid in shape with major axis 44 cm and minor axis 36 cm. Find its volume.

15. Solve  y” + 5x (y’)²=0.

Good luck!

DR. VICTOR E. ODARVE BSME, MEP-ME, MAED, EDD

PHILIPPINES, SOUTHEAST ASIA

Advertisements

A Little Patience Please!

By Vic Odarve

Madonna University,Elele campus, Riverstate, Nigeria, Africa

Madonna University,
Elele campus, Rivers state, Nigeria, Africa

Incessant request for good services is annoying and irritating. And sometimes you did not know that you have paid for it. It takes your precious time for follow-ups and disrupts your daily activities. How much more if it takes almost a month to iron out the things instead of having it completed in a 4 days transaction!  But here in Africa, it is not surprising. It is a common scenario. A little patience is required to work your things out. Patience, please!

It might be a complex for a foreigner to understand the picture unless you do a close look or until you are drawn in one of your business transactions.

Take a case on one of my bank transactions! Just a simple money transfer! It was December 8 that I made a bank transaction. The money was meant for December 25- a Christmas day. And it should suppose to arrive at that date. But after 7 days the recipient did receive nothing. I made a call to the bank manager and he then fixed the problem. So I waited another more working days and to my surprise, the same thing happened. Delayed for the second time! So I called back the manager again several times and begged to give an attention to what had happened. Finally after several calls and follow-ups, the recipient did receive the money. It was already January 2 after New Year! It took almost a month! Instead of 4 days!

There might be something wrong in the bank management. It is difficult to imagine how a simple transaction that could be done in a four working day period ended up in almost a month-long with constant monitoring. In both transaction failures, the bank did not merely notify thru phone or email to its customer.  It seems that this thing is normal in their daily transaction. In their working atmosphere, there’s no such thing as urgent! How about the customers? Customers may keep on calling at the office for follow ups and struggle in pain over their services.

Here it requires a lot of patience than demanding your rights as a customer. It is quite complex for a foreigner to understand the management system the bank is having. Can we do something more? Nothing other than to adopt in order to live and survive in this world where patience reigns supreme than fighting over your rights as a customer.