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Sketch y = x(3+rootx) and y = x(3-rootx) I don't know how to get the oblique asymptote y= 3x and how you get point (4,4). Explain please with full working out. Cambridge book sucks :(

ahahaha yeah sorry. Got it after a while but didnt remove post. How about the other one, finding conditions :(

find the condition for this Gp to have a limiting sum, then find that limiting sum 1+(1/5x) + (1/(5x)^2) + ..... I just dont get the find the condition part HELLLLPPP Spammage questions much xD

A GP has a positive first term a, and has a limiting sum S(infinite). Show that S(infinite) > (1/2)a Mehhhhhh proving questions :chainsaw:

Hmmm i'm not sure of another question. The sequence Tn = 2x3^n + 3x2^n is the sum of two GPs. Find Sn. This is what i have but it doesnt match the answer. Sn = 3^(n+1) - 1 + 3 (2^(n+1) - 1) = 3^n x 3 + 6 x 2^n -4 The answer is Sn = 3^n x 3 + 6 x 2^n -9 I...

bump bump help please

Okk thx heres another one Let triangle ABC be right angled at C, so a^2 + b^2 = c^2. Find the ratio c:a if: a) b is the AM of a and c b) b is the GM of a and c Diagram would help :spin:

Suppose Tn = ar^n-1 is a GP with first term a and ratio r. Show that the sequence Un = log(base2) Tn is an AP, and find its first term and difference. Help again please.

I see, but i dont get how you can assume a = 1? Explain please EDIT LOLOLOL DW THE As cancel out my bad

<DIR>Find the common ratio of the GP in which the first, third and fourth terms form an arithmetic sequence. [HINT: r^3-2r^2 +1 = (r-1)(r^2-r-1)] WTFUXX :mad1: </DIR>

Hey im not sure where to post this but i'm stuck on this question that i haven't really learnt yet. Can someone show me the full working out and which points to take moments from etc. Somehow i can't attach the doc so whoever has the time to help, tell me your email and i'll send it. I've tried...

You did it wrong at this step ie (3x - 6)^2 + (3y - 6)^2 = (x-6)^2 + (y-6)^2, you cant times the 3 in or it doesnt work out But anyways i got it :D thanks STUCK ON ANOTHER QUESTION NOW i) Let OPQR be a square on an Argand diagram where O is the origin. The points P and R represent...

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jheeeebbus another question 3| z - (2+2i)| = |z-(6+6i)| i) write down its radius and the coordinates of its centre Can someone explain what the | | do and how do you expand it please Thanks very much OMG FAIL :cry: oh yeah and explain how the i disappears after you sub x+ iy

someone answer already D: bump

Solve the equation 2z^4 + 3z^3 + 5z^2 + 3z +2 = 0 this iis what i have dividing by 2 you get 2z^2 + 3z + 5 + 3z^-1 + 2z^-2 = 0 2(z^2 + z ^-2) + 3 (z + z^-1) + 5 = 0 Let u = z + z^-1 u^2 = (z + z^-1)^2 = z^2 + z^-2 +2 2(u^2-2) + 3u +5 = 0 2u^2 +3u+1 = 0 (2u +1)(u+1) = 0 2z +2z^-1 +1 = 0...

Yeah i kinda got that but how do you do iii)

i) find the five fifth roots of unity ii) if w = cis 2pi/5, show that 1+w+w^2+w^3+w^4 = 0 iii) show that z1 = w +w^4 and z2 = w2+w3 are the roots of the equation z^2+z-1 = 0 Just help with ii) and iii) please ii) is just sum of roots = 0 but i dont really get that still :hammer:

Find the complex 5th roots of -1 not really sure, had my go :o help plox so far i have cos 5 @ + isin5@ = -1 cos 5@ = -cos2pi

An enclosure is to be built adjoining a barn. The walls of the barn meet at 135* and 117m of fencing is available Show that the area of the enclosure is A = 117x - (3/2)x^2 Note : attached the diagram of barn (must need) It's a square and a triangle Tytytyty ;)