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see the edited post :p where did you get this question again?

this is how far i got:: got the normal equation ty - at^3 = 2at - x ty + x = 2at + at^3 now, the normal meets the parabola again at (2aq, aq^2) we sub values in atq^2 + 2aq = 2at + at^3 atq^2 + 2aq - 2at - at^3 = 0 this is a quadratic in q sum of roots = -b/a (from...

ah ha.. the equation equals [ arctan = tan^-1, arccos = cos^-1 ok? ] arctan(2) = pi/2 - arccos(3/5)/2 2 = tan((pi/2) - arccos(3/5)/2) agree this far? well now i'm having difficulty myself.. edit: after this i was gonna use double angle, but how do you tan(arccos(3/5)/2)...

that seems like a very quick solution.. Seems that i have a phobia of long-winded questions and end up avoiding them.. on the bright side, no-one in the class did that question, and seems like I'd scab some marks for getting that x^2 value :D thanks for solving btw

Because your textbook has lots of perp.tangent intersection questions on it, it make it easier for it's users. But for people who even hardly heard of perp. tangents (like me), it seems really hard. Experience is in need in these kinds of questions i guess.. what textbook are you using? (I...

This question appeared in my exam, and i had problems with D. (btw this question was given to our class as a revision question, but since teacher isn't checking it, no-one bothered to do it. If only.. if only i posted it here earlier..) dang!

harder 3u question includes 3u questions. This question is harder than 3u questions. But it is a 3u questions. Then it is a harder 3u question. Then it is included in 4unit :p

He wants diagrams, and he did full working including that riemann sum symbol, and changed it to the integration stuff later on. Then he goes on to say that it is what he expects to see.. what carioid question? :D volumes aren't in tomorrow's test, so i guess i can always ignore it :D...

did volumes last year, but i skipped classes a lot and went to game PC rooms.. did the HSC last year, and did the volumes question all right until.. this year, my new Maths teacher told me that the jargons for volume, that riemann sum thingy, must be put in. not to mention writing in...

thanks, but about the collinear, :oI was just unaware of what i was typing :D edit: never mind, i lack sl33p..

in other words, that is just for "adjusting" the motion graph to the desired position, according to the conditions that you'll be given. If you see the sin graph and cos graph, that basically moves the graph left and right, when you increase or decrease it. get a graph calculator and...

thanks, btw.. collinear = all through same point, and im not sure if concurrent means the same thing. if anyone has T.Lee book, see excercise 5.7A, question 7. It's telling you to show that a tangent, an asymptote and a directrix is concurrent. So what does that really mean? Another...

What does concurrent mean? What does Abscissa mean? (Abscissa in terry lee book seems to have double meaning, the x foot and y foot, i want this cleared up :)) What does transverse axis, and conjugate axis mean? it's all from conics.. has there been a thread like this before?

wHoops, didnt read your question properly. Was stayhing up a bit latew.. anyways 1 mark question? seems like a one-liner answer question, so it looks like something out of the syllabus..

yah, parabola parametrics, but this perpendicular tangent intersection, never seen in 3u textbooks. thank god polynomials isn't on my upcoming test :D

Meditate 1 hour before major exams? for example, in front of the exam hall, you sit down in an indian meditation stance..

dM/dt = -0.02M dt/dM = -50/M t = -50Loge(M) + C -t/50 + C = ln(M) e^(-t/50+C) = M M = e^(-0.02t) * e^(C) since e^C is a constant, we let A = e^C M = Ae^(-0.02t) hence the expo.growth equation. My teacher made everyone in the class remember how to do this :)

I kind-of get it, but does these kind of question ever appear at exams? This is the first time i see a question of such degree of complicacy. It's a textbook question, so it seems like it's a hard textbook..

thanks :) I'm off practicing the T.Lee methods now, three times until I can do it perfectly..

this is also for proving tangents, but do you think in exam situations, they'll ever ask these kinds of questions? "Prove that the condition for the line y = mx + c to be a tangent to the ellipse (equation goes here) is c^2 = a^2 m^2 + b^2" terry lee book does it the long algebra line...