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its difficult for me to post up the question and hard for me to explain the diagram, so if anyone has the fitzpatrick textbook help would be very much appreciated for question 9 on page 24 I have tried everything and still, i cant figure it out thanks in advance

I can do the first part (the proof) but not the second (the disproof): Prove by induction that, for any positive integer n, the product (n + 1)(n + 2)....(n + n) is always a multiple of 2^n but never a multiple of 2^(n + 1) I tried by proving that its not true...

ABCD is a trapezium with AB parallel to DC. the diagonals intersect at O. the line through O parallel to AB cuts AD and BC at P and Q respectively. prove that PO = QO. thanks =]

say you have a quadrilateral ABCD in order (clockwise). If angle DBC = angle CAD can we then say that ABCD is cyclic as if you draw a circle, angles in the same segment are equal? why/why not? thanks in advance

I know what a common tangent is but what are you actually being asked to find in this: two circles of radii 5cm and 8cm touch each other externally. Calculate the length of the common tangent Cant the length of the tangent be anything?

This may sound stupid but im puzzled with this: at = at^3 + 2at (this is to do with parametrics+ parabola btw), are we allowed to divide both sides by at??? if not, why not? i tried dividing both sides by a and then minusing both sides by t and this gave me the correct answer, But how come wen i...

this question is really pissing me off, any help would be much appreciated: Through the vertex A of a parabola, chords AP and AQ are drawn at right angles to one another. Show that for all positions of P, PQ cuts the axis of the parabola in a fixed point K What i did was assume the parabola...

prove, by induction, that n^2 - 11n + 30 >=0 for n>= 1 tried everything, no hope. thanks in advance

q 10 d) the second part http://www.kewpid.net/exams/JR_Trial_2003_2U.pdf keep getting an answer of zero ???

Im very confused: why is it that when u find the volume when the curve y = sqrt x is rotated between x = 0 and x = 4 around the y-axis you have to do: volume of cylinder with radius 4 and height 2 - S(from y=2 to y=0)of y^4 dy; How come u cant just do S(from y=2 to y=0)of y^4 dy

Does anyone know were i can find the student writing answers for the eng sc; the ones where they show you what a band 1 answer is a band 2...... a band 6

hey, one area which i think isnt covered well in my textbooks are the motion graphs (the ones where u have to find certain things with the graph provided such as when the particle is furthes away from the origin, when it returns back to origin etc). Im talking about the ones similar to the HSC...

The cost of running a car at an average speed of v km/h is given by c = 150 + v^2/80 cents per hour. Find the average speed, to the nearest km/, at which the cost of a 500km trip is a minimum. Answer: 110km/h I just cant seem to do this q for some weird reason.

Hey... im currently in yr 10doing the accelerated course and IVE RUN OUT OF QUESTIONS TO DO!!!!! Ive completely finished maths in focus (both yr 11 and 12 whihch were both too easy) and I dont want to do the Past HSC paper Q's just yet (as i want to do them each as a whole test and time...