Maths in Focus lyf
Though of starting this thread to help preliminary students with their struggle with any maths problems from this book only, especially with the extension questions.
If you are asking a question, remember to reference which question it is in the book.
If you are going to post an answer, please show full working out.
Thanks.
Maths in Focus lyf
I guess I will be the first to ask.
Does anyone know how to answer question 16 i and k in Exercise 4F. Thanks.
FYI I tried to write the question up here, but encountered some difficulties. I guess that means you need the book to help answer. Thanks.
Q.16 i)
(I don't know if I attached the picture correctly, first time posting here).
..Ok, apparently 2.4Mb is too big for an attachment, so:
https://www.dropbox.com/s/nd9aig6szg...21.41.jpg?dl=0
https://www.dropbox.com/s/kkgcpdaids...22.07.jpg?dl=0
Last edited by FlyingGullible; 6 Mar 2015 at 7:32 PM.
Here are the questions he was referring to:
Prove the identities:
16i.)
16k.)
Last edited by Ambility; 6 Mar 2015 at 8:32 PM.
im having troubles with solving inequations with a variable in the denominator - 3A any help will be greatly appreciated!
Prelim 2k15
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Do you mean something like the example on page 75?
If there's a variable inn the denominator, the reason that you have to multiply both sides by the square of the denominator if it has a variable like "x" in it is to ensure that you're multiplying both sides by a positive number (since if you square something, either positive/negative it will always be positive) and hence there will be no need to be confused about whether to switch the inequality sign. Coz you know howif you multiply/divide both sides of an inequality by a negative number, the sign flips yeah? So that's why.
When you do that, you get like a quadratic/cubic or whatever which you can then factorise. Then you graph it as a parabola/cubic or whatever it may be. (ie if the quadratic is greater than/less than/ greater than or equal to/less than or equal to ZERO. And then you apply the inequality to the graph and determine what the final inequality will be from the graph.
Last edited by enigma_1; 8 Mar 2015 at 12:41 PM.
Prelim + HSC Tutoring: http://community.boredofstudies.org/...esson-%7C.html
"My pain may be the reason for somebody's laugh but my laugh must never be the reason for somebody's pain"
~ Charlie Chaplin
Oops lol didn't see this thread...
Well here are a few questions for simple plane geometry. I don't know the 'proper' way of doing these questions and there's no answers to refer to in the back.
It's from Exercise 8B [Question 12. (a),(b),(c),(d)]
Attachment 31895
Hi, not sure how to go about question 16 from chapter 4J. The question is
the side of a triangle are n2 + n + 1 , 2n + 1 and n2 - 1, where n>1. Find the largest angle of the triangle.
( n2 being --> n squared )
Thanks.
Oops... it's from the year 12 3 unit cambridge textbook, not the year 11 one.
A lot of people say Maths in Focus is too easy for the subject its designed for - that it doesn't challenge students enough. Most of these people say cambridge is a good alternative. I, however, own and use both books and I find that they are both good for separate uses. Maths in Focus is great for introducing you to the concepts and ideas, and it does this so well that it is quite easy to catch up if you have missed a lesson, while cambridge really allows you to develop your skills and apply them to harder, or more abstract problems.
Prelim + HSC Tutoring: http://community.boredofstudies.org/...esson-%7C.html
"My pain may be the reason for somebody's laugh but my laugh must never be the reason for somebody's pain"
~ Charlie Chaplin
Having troubles with question 15 b from 6A.
The question is :
Write as a single fraction, without negative indices, and simplify:
1 - y^ -1 divided by 1 - y^-2
The answer to that question in the book says:
y / y + 1
I understand your answer, but is the answer in the book right??
Does anyone know how to answer question 21 from 6A:
a) if x = 2 ^ 1/3 + 4 ^ 1/3, show that x^3 = 6(1+x)
b) if x = 1/2 + 1/2root 5, show that x^2 + x^-2 / x - x^-1 = 3
c) show that pq^-1 - p^-1q / p^2q^-2 - p^-2q^2 = pq/p^2 + q^2
Thanks for your help.
Does anyone know how to answer question 21 from 6A:
a) if x = 2 ^ 1/3 + 4 ^ 1/3, show that x^3 = 6(1+x)
b) if x = 1/2 + 1/2root 5, show that x^2 + x^-2 / x - x^-1 = 3
c) show that pq^-1 - p^-1q / p^2q^-2 - p^-2q^2 = pq/p^2 + q^2
Thanks for your help.
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