# Search results

1. ### Hardest Topic - New syllabus

This was from the sample from nesa. Part i asked prove that a *(b+c)=a*b+a*c (dot product)
2. ### Maths Practice Papers New Syllabus!

Ive seen this on AceHSC or something
3. ### Can you use induction for non induction qs?

Oops ahaha thanks. Forgot about that, but they are both a difference of some sort. Sorry
4. ### Can you use induction for non induction qs?

You mean differentiate both sides? Cause derive is completely different. If thats what you mean, then yes, I also said that I did use differentiation initially to obtain the result... my comment was simply that mathematical induction is still valid. When I looked at the question a second time...
5. ### Can you use induction for non induction qs?

The limitting sum is a/(1-r) and the sum to n terms is a(1-r^n)/(1-r), where r is the common difference. The common difference for a gp is achieved by dividing nth term by n-1 term, and if this quotient is consistent for more than one pair of terms, then the series is gp. The way in which the...
6. ### Can you use induction for non induction qs?

Yeah, I just found my older solutions to the paper and thats what I did. Again i just used that as an example. Theres nothing wrong with induction though in the case where you dont immediately recognise something.
7. ### Can you use induction for non induction qs?

Its not GS the way its given to you. 3x/2 is not 4x/3, so there is no common difference unless you re arrange it. In the case where youre not bothered like me, induction should be fine. Sorry I used the term convergence a bit too broadly, what I meant is proving that it equals something, i.e...
8. ### I am self-learning mechanics (projectile motion). How do I solve the question below?

You then would use the horizontal displacement formula x =vcos(alpha),apply the same process except with this formula. Minimum achieved by simple trig by referring to the building as a side of a right triangle, the base 20 and height 13 (15-2). Tan alpha = 13/20 so alpha = 33 is a minimum...
9. ### I am self-learning mechanics (projectile motion). How do I solve the question below?

Yes I corrected myself earlier. Have you seen the method to use if you were to take this approach that I described?
10. ### Can you use induction for non induction qs?

Yes I would know how to prove both of them without the use of induction as it isnt necessary for any of them. Suppose a statement were set up and you can identify two variables, one that would act as x and another as n, then prove for the valid set of n by induction. Proving that a series...
11. ### Can you use induction for non induction qs?

The question showed up in a BOS trial exam for 4 unit - I don't remember it that clearly but it was about proving 1 + 2x +3x^2 .... + nx^(n-1) = some expression in terms of x and n. My instinct was to use induction as it was a sequence, and proving that it converged to a certain function would...
12. ### Can you use induction for non induction qs?

Hey everyone, I wanted to ask whether or not you can use induction to prove something even if the question does not ask to use induction. Would you lose marks? Thanks
13. ### Hardest Topic - New syllabus

Hope this helps. Correct me if im wrong (see attachment), I dont know if there are solutions to the paper
14. ### Hard integral, help.

I found the mistake!!! Where i evaluated the integral containing (ipi + lnx)^2, i forgot to reconsider the second integral, I2, after proving I1 =-pi^3/2, which happened to be I. Therefore you are left with ipi^3/2 + 2I = -pi^3/4, and I = pi^3/8.
15. ### Hard integral, help.

I honestly dont, but pi^3/8 is the value you got from wolfram yesterday, so definitely a mistake. But where......
16. ### Hard integral, help.

I have attached a copy of my solution. Turns out i didnt get 0 this time, but got pi^3/4... do you see mistakes? Thanks
17. ### Hard integral, help.

Oh thats fine. I hope one day to take analysis after school. Not real analysis, never really into it, but i like complex and functional
18. ### Hard integral, help.

Yes I see it now. I did split ln (-z) to ipi + lnz, and used it wherever it needed to be. That was the reason i kept getting 0
19. ### Hard integral, help.

The question is meant to be loge x squared. ive seen that and applied the same thing but get 0... ill send my answers tomorrow
20. ### Hard integral, help.

I cant see your latex text