# Search results

2. ### graphing transformations

In the old syllabus, was graphing transformations (from Further Functions I think) part of the the Preliminary Extension 1 syllabus? (Stuff such as y = |f(x)|, y^2 = f(x), |y| = f(x) and all that). Was looking through the all the past papers of the old syllabus and none of those kinds of...
3. ### perms and combs circle qn

Four boys and four girls are arranged in a circle. In how many ways can this be done, if the boys and the girls are in distinct groups? Would it be 4! x 4! (because you only need to mix around the boys and girls separately) or 3! x 4! (fix one boy first) ? I've received conflicting answers on this.
4. ### ellipse

are ellipses anywhere in the extension 1 course (+ more precisely, year 11 in the new syllabus)? wondering because a maths qn i'm doing is asking me to sketch an ellipse after finding its equation and i have no idea how to do it
5. ### perms and combs qn

how would you do this with perms and combs? the worked solutions are using a probability tree and i think there's probably an easier way to go about this question, many thanks in advance
6. ### perms and combs qn

(The answer is B, and I know the total number of ways without restriction is 9C3 but I have no idea how to get to the answer, many thanks in advance)
7. ### motion in straight line qn

hey all, how would you do c and d? many thanks in advance (i've done a and b, and the answers are: for part a 50km/h for Car A and 20km/h for Car B, and for part b the answer is 9 minutes (t = 0.15)
8. ### vertical tangents and cusps

are you able to tell just from a given equation of a curve whether it has a vertical tangent or cusp?? if so, how?
9. ### how to interpret this question

not sure what to do with the given information + where to start, many thanks in advance
10. ### chemistry qn

how would you do this question, and what is the answer? many thanks in advance
11. ### continuity

how would you start this one?
12. ### absolute zero and the gas laws

how was the value of absolute zero derived from the gas laws? i think it's got something to do with extrapolating the ideal gas law but i don't know where to go from there
13. ### 9b, a bit confused (calculus)

for question 9b, i've found y', then made y' = 0 to find the points (got (0,3); (-1, 3/2); (1, -3/2)). however, the textbook answers say the only two points are (0,3) and (1, 1/2), but i'm not sure how they got that answer. worked solutions are confusing as well: and i'm still not sure how they...
14. ### differentiation calculus qn

hello, i've found the answer to part a, which i've found is x + y(b-4)^2 = 2b-4. but with part b (for both i and ii), i've subbed in b = 0 and b = 6 into the equations and i've gotten answers completely different to the correct ones (i got x + 16y + 4 = 0 and x + 4y - 8 = 0 respectively). the...
15. ### multiplicity qn help

I've differentiated P'(x) and then P''(x), then did P''(2). I'm not sure if this is 100% correct so far or what to do next, what would you do?
16. ### maths help - perpendicular distance

Need help with part a, how would you start?
17. ### maths qn help

"Find the equations of the four circles which are tangent to the x-axis, the y-axis and the line x + y = 2." I've drawn out the circles and I know for each circle the distances from the centre to the respective points touching each mentioned line are equal because of radii, and I know that...
18. ### why can you cross + intersect horizontal asymptotes

but never go near a vertical asymptote? i know it as a 'rule' of sorts when sketching (especially for graphing relations) but i want to know why it's like that, i've never really understood why this is the case
19. ### pigeonhole principle

How would I approach this question? (Not asking for a solution but rather how to start answering this question -- what do I look for? What do I consider? That sort of thing. My teacher explained it but I was so confused the entire time -- she just put up random numbers and circled them.) A box...
20. ### depth study referencing

I got my notification for my first Chemistry assessment for the year -- a depth study -- and it requires an 'annotated bibliography in Harvard formatting.' What does it mean to be 'annotated' on a Stage 6 level, and how in-depth do I go with these annotations (like, say which tidbit of...