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Martes, Oktubre 18, 2011

Did you know that...?


*Archimedes famous line ‘Eureka’ means ‘I got it’. He said that when he discovered that their king’s crown is not made of pure gold.

*The nationality of Alexander the great is not a Greek. He is a Macedonian. 

*’Ides of March’ is also known as the day of the death of Julius Caesar. He was assassinated by his political rivals for they are envy on him. They assassinated him because the people treated him as one of the God.

Did you know that...?

*The world’s biggest living thing is a sequoia tree called the General Sherman tree found in California.

*The biggest city in the world in terms of population and development is Tokyo City, Japan.

*The biggest country in the world in terms of land area is none other than Russia.

Did you know that...?

*Philippines is the largest English speaking country in Asia. As a whole, Philippines is the third largest English speaking country in the world. The first spot goes to USA and followed by United Kingdom.

*The most spoken language in the world is not English, it is Chinese. The reason is because China is the biggest country in the world in terms of population.

*The second most spoken language in the world is Spanish.

ECE REVIEW

* Joshua Anthony Balaga wants to build a rectangular pen for his eggplant seeds. What is the biggest possible area enclosed with 40 meters of fencing material?
a. 100 sq.meters
b. 99 sq.meters
c. 96 sq.meters
d. 91 sq.meters
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TIMES UP!!!
If you answered letter ‘a’ , congratulations for you are right!
Solution:
let x = width
y = length                          
A = x * y
P = 2x + 2y
40 = 2x + 2y
2y = 40 – 2x
y = 20 – x
A = x * y
A = x(20 –x)
A =20x – x2
Find the derivative of the area and equate it to zero, after that get the maxima.
*To test if the number is in maxima, you must get the second derivative, if it is negative, thus the answer is maxima, on the other hand, if it is positive it is minima.
dA/dx = 20 – 2x
0 = 20 – 2x
2x = 20
x = 10
Check if 10 is the maxima:
A’ = 20 -2x
A’’ = -2
Since A’’ is negative, thus positive 10 is the maxima.
A = x(20 – x)
A = 10(20 – 10)
A = 10 * 10
A = 100 sq.meters

ECE REVIEW

* At present, the age of my teacher is twice of my age. Eight years ago, my age is 1/3 of my teacher's age (also 8 years ago). How old is my teacher now?
a. 30
b. 28
c. 26
d. none of the above

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TIMES UP!!!

Well, if you answered 'd' you are right!

Solution:
x = be my age
2x = age of my teacher
x - 8 = age of mine, 8 years ago
2x - 8 = age of my teacher, 8 years ago

x - 8 = (2x - 8) 1/3
3(x - 8) = 2x -8
3(x - 8) = 2x - 8
3x - 24 = 2x - 8
3x - 2x = 24 - 8
x = 16 ......my age

Since my teacher is twice of my age, my teacher now is 32.
Hope you got it right!


Did you know that...?

*The longest word without repeating any letter in the English alphabet is "uncopyrightable".


*The sentence "The quick brown fox jumps over the lazy dog", uses every letter in the English alphabet.


*The period in the top of letter "i" is called tittle.

ECE REVIEW

*What part of atom are responsible for electric current?

a. protons
b. electrons
c. neutrons
d. free electrons

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TIMES UP!!!
If you answered letter 'd', well you are right!
Free electrons are any electron that is not attached to an ion, atom, or molecule and is free to move that causes electricity.