@@ End of Day Wrap   Thurs 7/5/15   Sydney,   Australia Time    11:00pm ♪ ♫

 

Good day to you all,    

 

Our esteemed answerers today are: Martind, CPhill, Brodude, Everymornin17, Civonamzuk, Alan, Heureka, TayJay, Headingnorth, Mellie, Xerxes, Awsomeee, Annabell1DirectionS and DarkBlaze347. Thank you all.

 

If you would like to comment on other site issues please do so on the Lantern Thread.  Thank you.    

 

Interest Posts:

 

FTJ means "For the Juniors"

1)   Toungue Twister   (Thanks Everymornin17)                             Why don't YOU try it.  

2)   What is the difference between combinations and permutations   Thanks CPhill and Melody

3)   Using binomial expansions                                                     Thanks Melody and CPhill

4)   Changing complex numbers into polar form                              Thanks Alan

5)   Perfect square trinomial                                                          Thanks CPhill

6)   Finding coefficients in binomial expansions                               Melody

7)   Problem of age                                                                     Thanks Civonamzuk and CPhill

8)   Algebraic division and simplification (plus Great LaTex )             Thanks Heureka

9)   Ratio of parts                                                                       Thanks CPhill and Melody

10) Triangle Geometry                                                                Thanks CPhill, Civonamzuk and Heureka

     

                    ♫♪  ♪ ♫                                ♬ ♬ MELODY ♬ ♬                                 ♫♪  ♪ ♫

Fri 8/5/15

I saved this post for the wrap because it was extremely funny. I have whited out a number of offensive posts that it did contain.

Volume of cube given the SA.         (Thanks Geno3141 for your great answer.)  

There is some very unacceptable behaviour on the forum at present.  

Nauseated was voicing his displeasure with his usual degree of acid humour.

However, this is a serious matter, if the offensive posts and private messages from members continue THEY WILL ultimately result in account suspensions.  

Members are expected to be civil to one another at all times.  Also, this is not face book or a games site.  

We all want everyone to enjoy being here but this is fundamentally a serious forum for learning.  

 

If you would like to comment on other site issues please do so on the Lantern Thread.  Thank you.    

 

Interest Posts:

 

FTJ means "For the Juniors"

1)   Year 8  Sample Test for International Olympiad of Mathematics   Thanks for providing it Alan.

                     I though some students might like to challenge themselves with it.  

2)   Factorising technique         (For the middle students )           Thanks Alan              

3)   A problem with averages (means)                                          Thanks Alan and Melody                        

4)   Percentage problem        FTJ                                                  Thanks Squaddy and DarkBlaze347

5)   Average speeds - these are tricky                                      Thanks CPhill

6)   Impressive trigonometry                                                       Thanks Heureka

7)   Forming and solving a siultaneous equ geometry problem     Thanks Zacismyname and Alan

8)   Marbles and children - Great question                                    Thanks CPhill and anon

9)   Temperature change            FTJ                                             Thanks CPhill

10) Unusual rectangle question                                                    Thanks Alan

11) Little number problem - good for everyone                             Thanks Alan and EinsteinJr

12) Diophantine Equation (continued)                                            Thanks Melody CPhill and Bertie

13) When will the hands of the clock point in the same direction?  Thanks CPhill, Fiora and Alan

14) Bearings - where is that other boat?!                                      Thanks Geno and zacismyname

15) Limit as x tends to infinity - using L'Hopital's Rule                   Thanks Alan

16) Complicated Trig with more amazing LaTex                            Thanks Heureka

     

                           ♫♪  ♪ ♫                                ♬ ♬ MELODY ♬ ♬                                 ♫♪  ♪ ♫

 This is Heureka's coding      

 from here

http://web2.0calc.com/questions/in-the-figure-below-ab-ac-50-ad-52-nbsp-and-bc-28-nbsp-determine-cd#r5

 

$$\small{\text{$\begin{array}{l|l}A=\sqrt{s\cdot (s-a)\cdot(s-b)\cdot (s-c)} & \qquad \overline{AB} = a=50, ~ \overline{AC} = b=50,~ \overline{AD} =c=28\\\\& \qquad s = \frac{a+b+c}{2}=\frac{50+50+28}{2}=\frac{128}{2}=64 \\A=\sqrt{s\cdot (s-50)\cdot(s-50)\cdot (s-28)} \\A= \sqrt{64\cdot (64-50)\cdot(64-50)\cdot (64-28)} \\ A= \sqrt{64\cdot 14 \cdot 14 \cdot 36} \\A= \sqrt{8^2\cdot 14^2 \cdot 6^2} \\ A= 8\cdot 14 \cdot 6 \\ A=672\end{array}$}}$$

 

\small{\text{$\begin{array}{l|l}A=\sqrt{s\cdot (s-a)\cdot(s-b)\cdot (s-c)} & \qquad \overline{AB} = a=50, ~ \overline{AC} = b=50,~ \overline{AD} =c=28\\\\

& \qquad s = \frac{a+b+c}{2}=\frac{50+50+28}{2}=\frac{128}{2}=64 \\

A=\sqrt{s\cdot (s-50)\cdot(s-50)\cdot (s-28)} \\

A= \sqrt{64\cdot (64-50)\cdot(64-50)\cdot (64-28)} \\

A= \sqrt{64\cdot 14 \cdot 14 \cdot 36} \\

A= \sqrt{8^2\cdot 14^2 \cdot 6^2} \\

A= 8\cdot 14 \cdot 6 \\

A=672\end{array}$}}

 

-------------------------------

 

What is  \text{$   for?   What does it do, I see no text.

 

big         \small{mathe-Modus}}     :             $$\small{mathe-Modus}}$$

small      \small{\text{text-Modus}} :            $$\small{\text{text-Modus}}$$

small - italic    \small{\text{$mathe-Modus-italic$}} :     $$\small{\text{$mathe-Modus-italic$}}$$

.

Different \dot commands.

Heureka has given us a display of them - there is a lot.     Thanks Heureka

http://web2.0calc.com/questions/algebra_545#r4

 

Vector and Matrix coding by Heureka      (7/5/15)

http://web2.0calc.com/questions/if-three-points-of-a-parallelogram-are-located-at-1-0-4-3-and-5-2-what-is-the-fourth-coordinate#r4