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Mar 13, 2015
 #460
avatar+118725 
+3

@@ End of Day Wrap    Fri 13/3/15     Sydney, Australia Time   11:35 am     ♪ ♫

 

Good evening everyone,

 

By recent standards the forum was quiet today, still there were plenty of questions, many were answered by anon people and that is fine but it is nice when people can be recognised for their efforts and today these people were Buecrab2, SamHenry, MamaLlama, Heureka, CPhill and SweatyPerson666.  Thank you.   

 

One year ago today CPhill (Chris) joined this forum. 

Chris's huge injection of both knowledge and humour has had a huge positive impact on our fledgling forum. 

I think that I speak for all when I say how incredibly please we are that you have spent this year with us Chris.

Thank you                 It has been a wonderful 12 months for Camelot.

Happy 1'st Anniversary Chris.        ヽ(ヅ)ノ

 

 

Interest Posts:

 

1)    Meaning of life. A new explanation.                         Thanks  SweatyPerson666

2)    Given one trig ratio, how do I work out another?        Melody

3)    This is a stupid question but it has some comic appeal.

4)    Force       Can someone check please.                      Melody

5)    Trig identity                                                              Thanks CPhill and Heureka

6)    How can you know arcsin(1/2) without a calc.          Thanks Anon and Melody

7)    Range and Domain of absolute functions                   Thanks CPhill

   

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

Mar 13, 2015
 #267
avatar+118725 
0

Sat 14/3/15

1)    Riddle time                                              Thanks Rosala

2)    "Stupid question" carried over from yesterday - it turned into an interesting question after all.  

                                                                     Thanks Melody, anon, Nauseated and CPhill. 

3)    Inverse trig       For the moment I am a bit confused by this question.  

4)    Interesting fractional indice equation         Thanks CPhill and anon.

5)    Manipulating logs                                     Thanks Alan

   

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

Mar 13, 2015
 #1
avatar+118725 
+5

$${\mathtt{18}} = {\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{30}}{\mathtt{\,\times\,}}{\mathtt{sin40}}{\mathtt{\,\times\,}}{\mathtt{t}}{\mathtt{\,-\,}}{\mathtt{0.5}}{\mathtt{\,\times\,}}{\mathtt{9.81}}{\mathtt{\,\times\,}}{{\mathtt{t}}}^{{\mathtt{2}}}$$

 

$${\mathtt{0.5}}{\mathtt{\,\times\,}}{\mathtt{9.81}} = {\frac{{\mathtt{981}}}{{\mathtt{200}}}} = {\mathtt{4.905}}$$

 

$$\\-4.908t^2+40sin40-16=0\\
\\4.908t^2-40sin40+16=0\\$$
$${\mathtt{4.908}}{\mathtt{\,\times\,}}{{\mathtt{t}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{40}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{40}}^\circ\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{16}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{t}} = {\mathtt{\,-\,}}{\frac{{\mathtt{4}}{\mathtt{\,\times\,}}{{\mathtt{5}}}^{\left({\frac{{\mathtt{3}}}{{\mathtt{2}}}}\right)}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{5}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{2\pi}}}{{sin}}{\left({\frac{{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{9}}}}\right)}{\mathtt{\,-\,}}{\mathtt{2}}}}}{{\sqrt{{\mathtt{1\,227}}}}}}\\
{\mathtt{t}} = {\frac{{\mathtt{4}}{\mathtt{\,\times\,}}{{\mathtt{5}}}^{\left({\frac{{\mathtt{3}}}{{\mathtt{2}}}}\right)}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{5}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{2\pi}}}{{sin}}{\left({\frac{{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{9}}}}\right)}{\mathtt{\,-\,}}{\mathtt{2}}}}}{{\sqrt{{\mathtt{1\,227}}}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{t}} = -{\mathtt{1.406\: \!665\: \!960\: \!846\: \!221\: \!3}}\\
{\mathtt{t}} = {\mathtt{1.406\: \!665\: \!960\: \!846\: \!221\: \!3}}\\
\end{array} \right\}$$

.
Mar 13, 2015

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