Search results

Hi guys, Just curious as to what you think I can get... English Adv: no idea since head doesn't release ranks (thinks they're skewed since the range of marks is very little) but probs top 1/3?? Out of 120? Some freaks at our school though... MX1: 2/55 - mostly due to multiple choice == - will...

7b) $Find the sum of the series$ \;\; x+x^2+x^3+\ldots + x^n\\ $Hence find the sum of the series$ \;\; x+2x^2+3x^3+\ldots + nx^n

8c) Last question (c) The lengths of the sides of a triangle forman arithmetic progression and the largest angle of the triangle exceeds the smallest by 90◦. Find the ratio of the lengths of the sides. What I've got so far: a, b, c are in arithmetric series, so c-b=b-a \\a+c=2b And if the...

Done part i...I'm unsure about part ii and iii). Just started volumes... Can anyone help? Thanks

This was in our test but I can't understand it. It was ... MC!! Got it wrong lol The angular speed of a grindstone is 1800rev/min. The diameter of the grindstone is 10cm. Calculate the linear speed of a point on the rim of the grindstone in metres per second. A 0.24m/s B 1.5m/s C 9.4m/s D...

Either my setup is completely wrong or I'm way too tired. The area from x=0 to x=2 between the curve 4y=x^2 and its directrix is rotated about its directrix. Using shells, show the volume of the solid generated is \frac{56\pi}{15}u^3. \delta V = \pi ((1+y+\delta y)^2-(1+y)^2)x \\ =...

b) A tangent to the parabola y^2=2ax meets the hyperbola xy=c^2 in the points P, Q. i) Show that the equation of the tangent at R(x_1,y_1) on the parabola is y_1y=a(x+x_1) ii) Show that the x coordinates of P and Q are given by the equation ax^2+ax_1x-c^2y_1=0 iii) Deduce the cartesian equation...

It is a common question, I've seen it 2 times in papers...I can't seem to get the last part. I know that I need to times top/bottom by other terms but not sure. Any help is appreciated. Don't worry about latex, a method is just as good =D Thanks I_n=\int_0^{\frac{\pi}{2}} \sin^n x dx...

4c i) If y=x^k+(c-x)^k, where c>0, k>0, k=/=1, show y has a single stationary value between x=0 and x=c, and show that this stationary value is a maximum if 0<k<1 and a minimum if k>1. (3) ii) Hence show that if a>0, b>0, a=/=b, then \frac{a^k+b^k}{2}<(\frac{a+b}{2})^k if 0<k<1 and...

http://members.optusnet.com.au/limkw/SGS_harder3U_2002.zip Read that in yr11 and thought: omg gonna be learning that!! Reality: No. In fact at our school we haven't even touched on some of those topics, let alone the depth of them. Getting scared - what are others thoughts on this inservice?

Recently I was looking on youtube about mathematics videos and came on NJ Wildberger's video about how rigour has declined since classical times. I have no watched the whole series, but only the video about the introduction to his examples of where rigour has declined and logic gone out the...

The hyperbola xy=c^2 touches the circle (x-1)^2+y^2=1 at the point Q. i) Show this information on a sketch. ii) Show that if \beta is a repeated root of the polynomial equation P(x)=0 then \beta is also a root of P'(x)=0 iii) Deduce that the equation x^2(x-1)^2+c^4=x^2 has a repeated root...

My maths head hates formulas. He always draws a diagram for general solutions (trig) and then deduces the general solution. He said he would put a general solution that cannot use the formula. Any ideas on whether this is even conceivable?

(a) (i) \text{Show that the normal to the hyperbola}\; xy=c^2 \;\text{at the point}\; P(ct,\frac{c}{t}) \\\;\text{has equation} \;ty-t^3x=c(1-t^4). (2 marks) (ii) \text{Show that from a point} \;(0,k) \;\text{on the y-axis, exactly two normals can be drawn to the hyperbola.} (4 marks)...

The usual procedure of partial fractions is simple, but I am having trouble with fractions such as \frac{1+x^2}{1+x^4} and perhaps \frac{1}{1+x^4}? How is the denominator going to become a series of factors?? Thanks.

I have no idea how to study for this prac. Any pointers of things I may need to look out for? 'In your studies of M&G...demonstrate the motor effect, and predict the effects of various factors on generated electric current, both DC and AC...You will be expected to...experiments conducted for...

From 2004 Reddam House trial - last question. (Solution cut out from file) \text{Write down the expansion of}\, (1+x)^{2n}\, \text{and hence prove that}\\ \sum_{r=0}^{n} \binom{2n}{r} = 2^{2n-1}+\frac{(2n)!}{2(n!)^2}. I have differentiated and subbed x=1...hmm wrong idea?? Thanks

It may be from 3U Fitzpatrick but I'm not sure A rectangular vessel is divided into 2 equal compartments by a vertical porous membrane. Liquid in one compartment, initially at a depth of 20cm, passes into the other compartment, initially empty, at a rate proportional to the difference in the...

I have made physics dot point notes (with diagrams from textbooks) and Space/M&G amounts to 75 pages. Do you reckon I should print them off to study from or do simplified summaries and then print those out? Thanks

My school is renowned for being atrocious at physics. Last year, for example, only a handful got band 6s, and the person who came 2nd came out with 89.5 => Just rounded to a band 6. Is it really that hard to get a low band 6 - 90-93? I'm doing alright now, first asst rank was top 10 but lots of...