I don't get the difference between the dotpoint in students learn to and the dotpoint in "students"? What should I focus on in each, and how would the questions on them be different?
Are dx and delta-x interchangable?
If, say, I wrote delta-x in normal integration or I used dx as the thickness of a cylinder in volumes, would that be regarded as incorrect?
I can't seem to get this one:
Show that a^2 + b^2 + c^2 >= ab + bc + ca and hence show that:
b) a^2 + b^2 + c^2 >= 3(a^2 * b^2 * c^2)^{1/3}
I got the first part, its just (b) that I dont know how to work with :/ any hints greatly appreciated.
Is it possible for me to do a double degree in Civil Engineering and Maths?
If so, how long would it take? And how much extra work would it be compared to taking a single degree?
For some reason my answer is completely off the asnwers in the back of my book.
My method:
sin3x = sin2x
sin3x - sin2x = 0
but sin(A+B) - sin(A-B) = 2sinBcosA
A + B = 3x; -A + B = -2x
2A = 5x ; A = 5x/2
2B = x; B = x/2
Therefore sin(3x) - sin(2x) = 2sin(x/2)cos(5x/2) = 0
i.e...
Are these three general solutions the same answer?
1) 2n*pi + pi/3
2) 2n*pi +/- pi/3
3) 2n*pi - pi/3
I know 2 contains both 1 and 3, but does 1 contain 3 and so on?
I have no idea what I'm doing wrong with this question:
P( p, 1/p) and Q (q, 1/q) are two varibale points on the rectangular hyperbola xy = 1.
a) If M is the midpoint of the chord PQ and OM is perpendicular to PQ, express q in terms of p
I found:
M = ((p+q)/2, (p+q)/2pq)
m(OM) = 1/pq...
The question is (Question 9 from Fitz. 4 Unit 32(c)):
"P is a variable point on the ellipse with equation:
\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1
and S and S' are the focii. Show that PS and PS' are equally inclined to the tangent at P."
I have no idea what I'm trying to prove. What does it...
Conics is by far the topic I've had the most trouble with in 4 unit (should've probably expected it since I had similar trouble with the 3 unit parametric stuff).
Does anyone have any general tips for the ellipse and hyperbola problems that would help?
School Ranking: ~220
Advanced English: 2/16
Chemistry: 3/14
Physics: 3/11
3U Maths: 1/1 - ~90% in Half Yearlies (my teacher mainly put harder HSC questions in this one)
4U Maths: 1/1 - ~80% in Half Yearlies (only complex, graphs and adv. 3 unit HSC questions, so not a good estimate and...
The first part of the question is:
"A body, initially at room temperature 20 degrees celcius, is heated....."
They gave me Newton's Law of Cooling, which is:
dT/dt = -k(T-M)
where M = the surrounding temperature, T = the temperature of the body and k is just a constant.
I...
Just checking if I'm far behind everyone else, since we started the whole subject an entire term behind.
The topics we've done so far are:
1-Graphs
2- Complex Numbers
3- Integration
4 - Polynomials
Starting conics next week, and we've got mechanics, volumes and Adv. 3 Unit left.
So...
In one of my textbooks, the final rule for naming if there is more than one possible name is:
"The correct name is the one in which the lowest locant is assigned to the functional group cited first as a prefix" i.e. it goes by alphabetical order
In another, the final rule is:
"The...
At the moment, I have 11 units --> Advanced English, Chemistry, Physics, Visual Art and Extension 1 Maths (+AdvancedMaths)
Due to a change in principles in my school, I was finally offered 4 unit maths last week (a bit late I know). However, I have to drop a subject to be able to put in 4 unit...