Search results

If you are a high school student, or know one who need help with mathematics/science in the Eastern Suburbs area, let me know! I'd be happy to cycle over to your place, or to a public library if you want, to help you out for free. There is no catch. I'm a 19y/o university student with a good...

Hey guys, Could any of you show me how to do this question? An unbiased die is rolled n times. What is the probability that the product of the scores is an even number?

The condition for y=mx+c to be tangent to the ellipse x^2/a^2+y^2/b2=1 is c^2=a^2m^2+1. Prove the pair of tangents to x^2/25+y^2/16=1 which pass through the point (4,5) are perpendicular.

So I'm considering moving from Sydney to Melbourne to study computer science at University of Melbourne. I'd like to live in a unit apartment close enough to the uni to walk / cycle to work (probably within a 5 km radius). What areas are ideal for living around the University of Melbourne...

I believe the answer to this question is 1:2, but the answers say it is 2:1. Could someone tell me what they get as their answer? $PQ meets the line $2x+3y=4$ at C, where P is the point $(2,2)$ and Q is the point $(-1,-2)$. Find the ratio of PC:CQ.$

What does the platinum represent in this shorthand version of a galvanic cell? Ag, Ag^+|I^-,I_2|Pt

There is no marking guidelines for this past paper so I have come to BoS for opinions. Is my response sufficient to gain 2 marks? What is the question looking for? How could I improve it? http://i.imgur.com/95z1u8C.jpg

http://i.imgur.com/LUm5sLU.png I answered A but the answers say D. The motor will rotate continuously with an AC source, that I know. In the picture though, the motor is in a position which I believe won't experience any rotation if connected to a DC source, which is why I chose A. Am I...

Could someone show me how to do this? $If $\frac{dx}{dt}=\frac{1}{x+4}$ and $x=0$ when $t=0$, find t when $x=2

If someone could do a worked solution for part ii that would be great. I have already done part i. $The line through O the origin is perpendicular tot he tangent at $P(cp,\frac{c}{p})$ on the rectangular hyperbola $xy=c^2$ meets the tangent at N. You may assume this tangent has the equation...

Can someone show how you would set out working for this question? \\$Find the equation of the chord of contact of the tangents to $x^2-16y^2=16$ from the point $(2,-3)$.$

How would you do this? $Find a polynomial equation of degree 3 such that two zeros are $x=1$ and $x=-2$ and also $P(-1)=4$ and $P(2)=28

How would you do this? $The polynomial equation $x^5-tx^2+q=0$ where $t$ and $q$ are constants, has a multiple root. Show that $108t^5=3125q^3

https://www.docdroid.net/2NkbVqF/200420syd20grammar20trial20questionspdf.pdf.html Above is a linked segment of a chemistry trial paper. The section pertains to galvanic cells. I am having particular trouble with question c, the one about constructing a table of standard potentials on page 2. If...

This is a screenshot from an answer sheet of a James Ruse paper. Apparently, the correct answer is B (bolded), but I believe the correct answer is A. Could someone explain why B is correct?

How would you do this? $P(x) is a monic polynomial of degree 4 with integer coefficients and constant term 3. One zero is i, another zero is rational and the sum of the zeros is negative. Factorise P(x) fully over \mathbb{R}.$

Why is the graph y=\sqrt{(x+1)(x-1)} only above the x-axis? Shouldn't this have a mirror reflection below the x-axis? For example, the square root of 25 is 5, but also -5. Why is this not in the graph?

$Find the general solution to $\tan\theta =\sin 2\theta. My answer: \tan\theta = \sin 2\theta\\\frac{\sin\theta}{\cos\theta}=2\sin\theta\cos\theta\\\frac{1}{\cos\theta}=2\cos\theta\\1=2\cos^2\theta\\\cos\theta = \frac{1}{\pm \sqrt{2}}\\\theta = \frac{\pm n \pi}{4}$ where $n\in \mathbb{Z}...

How do you do this? Simplify, if necessary, and integrate with respect to x: \frac{5x^2+7x-6}{x^2}

Reference: 3 Unit Mathematics Book 2 by S. B. Jones and K. E. Couchman, Exercise 19.5, question 9e: Show that the curve y=xe^{-x} approaches the x-axis as x becomes large. Should I be just subbing in large x numbers or is there some limit I should be using?