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At our school weve completed graphs, complex numbers, polynomials and a bit of conics, similar to many of you... Hmm is so stupid though, we spent one term doing complex numbers.. and i didnt even get it that good PLUS i joined 4 unit like 4/5 weeks into the term.. cuz im an idiot. Then the...

Oh yeah i see then... cool thanks

Im having troubles with the step "n = k + 2" when proving results by mathematical induction, for all odd/even n. E.g. For even n, proven n3 + 2n is divisible by 12. Heres an example of my working. 1. If n = 2, expression = 23 + 2(2) = 12, which is divisible by 12, hence true for n...

In your question you stated what is the area bound by y=sinx and y=(1/2), so that only includes areas which are completly between the two lines. Im assuming the range is 0 <= x <= 2π, but if it wasnt, there would be more area between both curves then what follows. Look at your first...

5th edition. So did he make a mistake or... cuz nobody has given me an answer.. hehe

ill type it again "10. The normal at an end P of the latus rectum of the of the ellipse (see above) cuts the y-axis at M, and PN is the abscissa of P. Prove that MN = a" There..... it is exactly as i wrote before... So is what i did right then... meaning that terry lee used "abscissa"...

Thats exactly what i though. Found the above from a different thread. Ok the questions states that.. "The normal at and end P of the latus rectum of the ellipse x2/a2 + y2/a2 = 1 cuts the y-axis at M, and PN is the abscissa of P. Prove that MN = a" Well i drew up this (see picture 1)...

How would you know to use two of those compound angle identities. Hadnt even occured to me.... hmm.. Another thing, with your solution the angles a and b were not retained. If you see the question that i actual posted. And also are these common identies? Because i have never seen them before.

Thanks... So could anybody tell me what an eccentric angle is...cuz i dont get it!! One more thing :( i keep asking questions.. i need a teacher.. how do you go from: cosa - cos b = -2sin[(a+b)/2]]cos[(a-b)/2] and sina - sinb = 2cos[(b+a)/2]sin[(b-a)/2] cuz i cannot do those two!

They do not mention anything to do with a circle.

Shouldnt it be (3cos(90+θ),2sin(90+θ))? I see in my post i put a negative sign for the first angle, but ill fix that. The edition i have is the 5th. Also you said that point q should have the same x-coordinate, but lie on an auxiliary circle. How would that be possible then to make an...

Theres a question in terry lee which asks: "P is a point on the ellipse x2/9 + y2/4 = 1. Show clearly with the aid of a diagram how to determine the position of a point Q so that their eccentric angles differ by 90*" This is what i did: $ = 90 + @ .:. Q[3cos(90+@), 2sin(90+@)]...

I think i might have it?

- The beam of electrons become visible as the fluorescent display screen is coated with groups of three different coloured phosphors. The three electron guns each fire a beam of electrons which correspond to each of the three coloured (red, green and blue) phosphors. As the beams hits the...

Would you need to say that as the equation y(t) = 1.4 + 0.7sin(3t) has multiple minimum values, which are -π/6, π/2, 11π/6, ... so would the answer be y(t) is a minimum for t = -π/6 ± 2π/3

Is the answer 59*19' true north?

Oh ok. Makes sense i guess. Jacaranda only focuses on the induction motor. Thanks. But um i have no idea what your talking about some email i sent 2 years ago?? :|

that doesnt really help. The syllabus says "describe the main features of an AC electric motor", but what TYPE of electric motor... theres too many of them. And why do all these books have all this crap.... its annoying...

What do we actually need to know about AC motors. I have books with tonnes of different AC motors... and it seems like too much to need to know. Theres stuff about: "AC motors", single phase induction motors, three phase induction motors, universal motors, squirell cage induction motor...

erm i understood to use induction.. and i can use induction.. all i was asking was if i was to try and prove taht the formula that i provided (which is exactly the same as the formula you represeneted by sigma notion) equals to the sum of an arithemetic series. Thanks anyway.... and i wasnt...