Mathematics Question Thread

[RuiAce]

[K9810]

I like don't think there are two points of intersection. Are you sure that you've interpreted the question correctly?

Yeah, I've realised I done it wrong. Sorry about that!

[jamonwindeyer]

Isn't there a special function for it?

[jakesilove]

Yeah, I've realised I done it wrong. Sorry about that!

No problemo!

[RuiAce]

Isn't there a special function for it?

That's not really considered algebraic anymore though.

That being said, for something like this I'm not aware of a 'function' that fills in the gap here

[jamonwindeyer]

That's not really considered algebraic anymore though.

That being said, for something like this I'm not aware of a 'function' that fills in the gap here

Yeah I've got no clue of details, friend of mine once told me it existed and never really questioned (soz for the non-2U reference)

[RuiAce]

Had a look into it.

Not gonna talk about here though and intimidate all the 2U kids. Looks like it needs some elementary complex analysis to go with it. Definitely not considered "algebraic"

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(Image removed from quote.)

Thanks a bunch!

[IronBark]

Howdy Guys!

Would be awesome if you guys could assist me in these questions. This was part of a 2015 paper and there are no answers to them (as staff cant give the answers out) as the questions get pretty repetitive.



I have no idea what to do for 3 a) or 3 b).

For 4  I concluded that the length would be x+2, whilst the width remains x.
Then you would have to set x+4:x-3, would you then plus 3 to each side and solve for x? I am not sure what to do there.

For 5 a), when you sub P(-2), a = -2. I have already worked that out. So this is our new eqn: x^3-4x^2-2x+20, but how do we factorise from there to show that (x+2) is a factor?. I used symbolab https://www.symbolab.com/solver/step-by-step/factorise%20x%5E%7B3%7D-4x%5E%7B2%7D-2x%2B20 to help explain it but I still could not gather what it was talking about.

Cheers for the help

[RuiAce]

\(\sin 2\theta\) requires a double angle identity taught in 3U and I will not address it here.
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Q5a) is Extension 1 material and I will not address it here.

[RuiAce]

[IronBark]

Thanks so much for all of that. Sorry half our class is 3 Unit so they try and make us learn it and integrate it into exams.

What about questions that say like:

Evaluate this arithmic series:

1+4+7+10....+991     - Ok I get that the a is one, the difference is 3 and the last number is 991, but what are they asking me to do? They havnt asked for a n value so what do I sub in for n?

[jakesilove]

Thanks so much for all of that. Sorry half our class is 3 Unit so they try and make us learn it and integrate it into exams.

What about questions that say like:

Evaluate this arithmic series:

1+4+7+10....+991     - Ok I get that the a is one, the difference is 3 and the last number is 991, but what are they asking me to do? They havnt asked for a n value so what do I sub in for n?

It's asking you to sum up those values, using the formula

or


Now, you have the first and last term, but you don't have how many terms in the series. You could just logic it out, or you could do it formally. Create the equation for each term in the series,

and then sub in T=991. Solve for n, and you have your term number! Then, use that in the sum equation

[IronBark]

thanks

With this geo series (2+4+8+16+..2^n) how would you evaluate this.. please show working and answer:

So I said that the eqn is 2 x 2^(n-1)... now what do i do?

[RuiAce]