A very good website that I found, guiding me through American Psychological Association (APA) style in citation. The current edition of APA is 6th.
The website link :: http://rdc.libguides.com/apa
A must-bookmarked site if you are studying in the University!
a4 – b4 = (a2 + b2)(a2 – b2)
Since (a2 – b2) = (a + b)(a – b)
a4 – b4 = (a2 + b2)(a + b)(a – b)
Q: Three consecutive terms of a G.P. have a sum of 28 and a product of 512. Find the three terms.
Solution:
Let the three numbers in G.P. be (a/r), a, ar
(a/r) * a * ar = 512
a3 = 512
a = 8
(a/r) + a + ar = 28
sub 8 into a, since a = 8
(8/r) + 8 + 8r = 28
8(r2 + r + 1) = 28r
r2 + r + 1 = 3.5r
r2 – 2.4r + 1 = 0
Using roots of quadratic equations formula,
r = (1/2) or r = 2
With a = 12, d = 1/2 or 2
First term: 8 * 2 = 16
Second term: 8
Third term: 8 * (1/2) = 4
OR
First term: 8 / 2 = 4
Second term: 8
Third term: 8 * 2 = 16
Q: Three consecutive terms of an A.P. have a sum of 36 and a product of 1428. Find the three terms.
Solution:
Let the three numbers in A.P. be (a-d), a, (a+d)
(a-d)+a+(a+d) = 36
3a = 36
a = 12
(a-d)(a)(a+d) = 1428
a(a2-d2) = 1428
12(122-d2) = 1428
(144-d2) = 119
d2 = 25
d = sqrt(25)
= +5 or -5
With a = 12, d = +5 or -5
First term: 12-5 = 7
Second term: 12
Third term: 12+5 = 17
OR
First term: 12+5 = 17
Second term: 12
Third term: 12-5 = 7
Answer: 7, 12, 17
Consider the following example:
x2 < 16
To square root this inequality (There will be 2 answers from the square root),
x < 4
-x < 4
Since -x < 4, x > -4
The final answer will be: -4 < x < 4
I am too poor to afford one, so I used an online version:
http://www.mathsisfun.com/data/function-grapher.php
More regarding graph calculators:
第一计: 瞒天过海
第二计: 围魏救赵
第三计: 借刀杀人
第四计: 以逸待劳
第五计: 趁火打劫
第六计: 声东击西
第七计: 无中生有
第八计: 暗渡陈仓
第九计: 隔岸观火
第十计: 笑里藏刀
第十一计: 李代桃僵
第十二计: 顺手牵羊
第十三计: 打草惊蛇
第十四计: 借尸还魂
第十五计: 调虎离山
第十六计: 欲擒故纵
第十七计: 抛砖引玉
第十八计: 擒贼擒王
第十九计: 釜底抽薪
第二十计: 混水摸鱼
第二十一计: 金蝉脱壳
第二十二计: 关门捉贼
第二十三计: 远交近攻
第二十四计: 假途伐虢
第二十五计: 偷梁换柱
第二十六计: 指桑骂槐
第二十七计: 假痴不颠
第二十八计: 上屋抽梯
第二十九计: 树上开花
第三十计: 反客为主
第三十一计: 美人计
第三十二计: 空城计
第三十三计: 反间计
第三十四计: 苦肉计
第三十五计: 连环计
第三十六计: 走为上
References::
http://www.njmuseum.com/zh/book/zzbj/shanshiniu/36ji.html
http://en.wikipedia.org/wiki/Thirty-Six_Stratagems
*Update: New Aljunied GRC website is @ http://aljunied.wp.sg/.
The Meet-The-People session timing has not been put up on http://www.aljuniedgrc.sg/. I guess they are still busy with the hand/take-over.
Anyway, here are the MPS timing for Aljunied-Hougang Town Council as follows:
Bedok-Reservoir – Punggol Division
MP: Low Thia Khiang
522 Hougang Ave 6 (First and Third Wed of the month)
713 Bedok Reservoir Rd (Second and Fourth Wed of the month)
Eunos Division
MP: Pritam Singh
615 Bedok Reservoir Rd (Every Mon)
Kaki Bukit Division
MP: Md Faisal b Abdul Manap
550 Bedok North Ave 1 (Every Wed)
Paya Lebar Division
MP: Chen Show Mao
117 Hougang Ave 1 (Every Mon)
Serangoon Division
MP: Sylvia Lim
146 Serangoon North Ave 1 (First and Third Mon of the month)
213 Serangoon Ave 4 (Second and Fourth Mon of the month)
Taken from :: Aljunied GRC Facebook Page
I came across this question and I totally forgot how to solve?!
The correct answer is square root 2.
Why is this so?
2 = Sqrt(2) * Sqrt(2)
So if we were to expand the equation, it become:
Sqrt(2) * Sqrt(2)
————————–
Sqrt(2)
We can cancel away the Sqrt(2) since there are common factors in both the numerator and the denominator. Therefore, the answer is sqrt(2).
The general equation is as follows:
x Sqrt(x) * Sqrt(x)
x = Sqrt(x) * Sqrt(x). So, ———— = ——————————–
Sqrt(x) Sqrt(x)
x can be any numbers as long as it’s not zero.
Chiam was a very good man and MP. He cares and served the residents of Potong Pasir for 27 years.
A video done by some guy @ YouTube:
Not forgetting the “office” he had for Meet-the-People sessions:
I’ll leave the rest for your thoughts.
