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Hi again, Wouldn't x-3y=k be also perp. to 6x+2y+3=0??? So why is keeping the constant also important? Here's the whole question: Determine the equations of the tangents to the ellipse x2+16y2=25 which are perpendicular to the line 6x+2y+3=0, and find their points of contact with the curve...

Hi, Thanks for your reply... But I don't get why the 3 on the one side becomes a 'k' on the other side, ie. shouldn't it be (-k)? If not why?

Stop trying to signature flash. It's also a part of a 4U question, as you would know if you had read my whole post, and you didn't answer my question. I was asking HOW I can obtain the equation (ie. how to find lines perp. to a given line)

Hello, I have a quick question... I was doing a question on ellipses in an example and it says that All lines perpendicular to 6x+2y+3=0 are of form 2x-6y=k.... I don't get why this is and when I rearrange it I absolutely fudge it. Could someone please tell me a quick way to work this out...

Even in peak hour, you cannot have 3 trains per hour continually due to signaling limitations. What times on timetable for those lines have trains 3 minutes apart? Whoops, I have to review basic maths... The limit on the City Circle, ie. signaling in CC allows to have 1 train/2 minutes. But...

Yes, forgot about the ESR. Uhh, not so shure about the Western/North Shore Lines... They might have a service in a 1 hr period that is 3 mins apart, but apart from that it's impossible to continually have trains 3 mins apart as signaling wont allow it. Yeah 20 trains/hr is 1 train/4 minutes...

Hello, I'm using perp. dist. for the question below but it isn't working out =(... Could someone please help me? The tangent at P is xsec@/a - ytan@/b -1 =0. Show that if the tangent at P is also a tangent the circle with centre (ae,0) and radius sqrt(e2+1)*a, then show sec@=-e Thanks...

General Maths? Hahahah Just let z=x+iy and use the expansion (a+b)3=a3+3ab2+3a2b+b3 And then gather all the real parts.

Erm... Which line are you talking about? No single line has frequencies of 3 mins in peak hour. Due to signaling limitations the max that a line can hold is 1 train per 5 mins, with the exception of the city circle which has a limit of 1 train/2 minutes. I think it is 1 train/3 mins in peak...

To post a question -- Go anywhere in this website, then press CTRL+W... A 'post question' box should pop up. If it doesn't and something expected happens then just reopen the internet browser and try it for the next 9 times. If the problem persists then reply here and tell us the problem.

About time this happened... Hate the time it takes at the stops when passengers hop on, get their purse/wallets out, then give the driver a note, driver gives change, etc... I reckon though there should be a system where people can buy tickets easily and quickly at the stops.

Hello, Could someone please help me with the following question? Find the equation of the tangents to the ellipse 4x2+9y2=36 given that these tangents are perpendicular to the line 3x+2y=5 I can do it using parametrics but I can't seem to do it the other way, where you make a new equation of...

Hello, My teacher said that our school is going to give us an external paper for the half yearlies. I thought that CSSA and Independent only made trials. Which external paper makes half yearlies, and how are they in difficulty? Thanks

Hmm I don't think that x=2.1 isn a stat pt. How would you sketch P(x)=2x³-3x²-7? Thanks

Nope not in the syllabus, but the Coroneos 4U book has an exercise in it. Dunno why though because it wasn't ever in the 4U syllabus.

Well firstly, look at the equation it's a cubic with it's inflexion (or "vertex" if you like) at (0,1) and it's concavity is opposite to the basic cubic equation (ie. y=x3), So that should give you a hint of what to expect, etc. y=1-x3 y'=-3x2 y''=-6x For a stat point y'=0 -3x2=0 x=0 When x=0...

Hi, Could someone please help me with parts (iii) and (iv) of this question? Thanks Consider the polynomial P(x)=2x3-3x2-7 i) Prove there is at least one real root in the interval 2<x<3 DONE ii) Use Newton's method with two applications to estimate the root of P(x)=0 correct to 2 decimal...

Hi could someone please do this question for me please? Thanks Use mathematical induction to prove for all positive integers n that: xn-1 is divisible by x-1 Thanks again.

I never said anything about trials. Yes that is a part of a question. The previous question asked to calculate the Ep of an object. So, the negative sign in the final answer DOES matter. I'll post that question later. Me arrogant? You're pretending to be a fortune teller for next year's HSC...

You either are very ignorant, arrogant, or stupid and obviously haven't seen any trials, which are typically harder than the actual HSC examination. Did you read what I said: May I note that the syllabus requires students to define Ep as a negative IIRC so it'd be EXTREMELY stupid just to...