ii ) I will use algebraic method in approaching this question
1. you can make two equations
y = tx + t
y^2 + x^2 = 1
Hence solving simultaneously
x = (1-t^2)/(1+t^2)
hence subing this to linear equation
y = (2t/(1+t^2))
iii) hence tan (A) = y/x
= (2t/(1-t^2))
iv) using circle...
2 i)
with this question draw a diagram to assist you in understanding the question
Note that the line should intersect the circle in the FIRST QUANDRANT
ie maximum t = when P lies on (0,1)
hence 0 < t < 1 (greater or equal sign)
Q1
(a+b)^n + (a-b)^n
note that their is (-) sign hence if you put them in general form you should see that every second tern ie for r= odd, the term cancels each other. Whereas for r= even ,they add up
Hence = 2 (C0 a^n + C2 a^(n-2)b^2 + C4 a^(n-4) b^4 + ..... )
the last tern depends on...
General solution.
You can refer to your 3u textbook
Youknow about A S T C right??
First if cos(x) =cos a
For example cos x = .5 = cos60
Hence x= 60, 360-60, 360+ 60, 360 + (360-60),....
Hence similarly x = a, 360-a, 360+a, 720-a ...
X= 2pi*k +or - a
roots are integers, let the roots be (a,b,c,d)
since a*b*c*d = 1
hence roots are 1,1,1,1 or -1-1,1,1 or -1,-1,-1,-1
-k = 1+1+1+1, -1+-1+1+1 or -1+-1+-1+-1
hence k = +4,-4 or 0?
the working is :
firstly you have to know that any number is divisble by 3 if all digits sum to be divisble by 3
ie (12132) is divisble by 3 because 1+2+1+3+2 = 9 divisble by 3.
Now by T AND E for 4 digit values (3,1,8,9) , and (3,5,1,9) their sums are divisble by 3
the numbers are less...
If you work as an electrical engineering for long time and become like lets say designe or principle engineer what task would i be doing?
Do you do a lot of difficult maths as an electrical engineer after uni?
I was thinking about doing medicine, but i want to have some flexibility in my life, i don't want to work 70hours a week
medicine is a good career but engineering suits me more i think
which university is better for engineering degree - University of Melbourne or UNSW?
based on aspects of- salary, social life, cost of living, internation opportunity, faculty standards, etc
(i know that UoM offers better accreditations after the master course: Eurace, Engineer Australia...