Level 3 Physics 2014
Study Booklet of Madness
2014 L3 PHY EXAM: starts at 2:00pm
Tuesday the 25th of November
To prepare yourself for the NCEA externals you should be comfortable with the following:
Vocabulary (terms, definitions, symbols and units)
Equ
Auckland Grammar School
A2 Chemistry Exannation
Term One, 8014:
One hour
Total Marks 60
One booklet 18 pages in total
Data book is required for this examination
WSWK/ 5
Term One A2 Chemistry Exam 2014 1 ybu cfw_a 3), who Just had: a 'seun-I-W
Coordinate c
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Name. Form. Master.
AUCKLAND GRAMMAR SCHOOL
A2 PHYSICS EXAMINATION
TERM 1
2014
Attempt all questions
Time allowed = 1 hour
Total marks = 80
INSTRUCTIONS
Write your name, form and Masters name in the space at the top of each sheet.
Attempt all questions. T
A2 COMMON TEST 2: TRIGONOMETRY & STATISTICS,
MARCH 2010
TRIGONOMETRY
1. Prove that tan
cot 2cosec 2
.
[3 Marks]
2. Find, in exact form, all the roots of the equation 2sin2t + cosec2t = 3 which lie between
and
.
2
0
[4 Marks]
3. Express 3cos
in the form R
Department of Mathematics
MATHS 150
Assignment 2 SOLUTIONS
Due: 4pm 12th of April 2017
Hand your completed assignment into the correct box on the ground floor of Building 301
(Room G40) before the due date. Please use a Mathematics Department coversheet a
Department of Mathematics
MATHS 190/190G
Assignment 2
Due: 4pm on April 11th
Hand your completed assignment in to the correct box in the Student Resource Centre (G38
Building 301) before the due date. Please use a Mathematics Department cover sheet availa
Department of Mathematics
MATHS 150
Assignment 1 SOLUTIONS
Due: 4pm 22nd of March 2017
Hand your completed assignment into the correct box on the ground floor of Building 301
(Room G40) before the due date. Please use a Mathematics Department coversheet a
Department of Mathematics
MATHS 150 FC
Assignment 3 Answers
Due: 4pm, Wednesday May 17th
1. Let f : [a, b] R be a differentiable function. Show that if P = (x0 , x1 , . . . , xn ) is a partition of
[a, b] then
n
X
0
L(P, f ) =
mj xj f (b) f (a)
j=1
where
Department of Mathematics
MATHS 190/190G
Assignment 1
Due: 4pm, March 21th
Hand your completed assignment in to the correct box in the Student Resource Centre (G402
Building 301) before the due date. Please use a Mathematics Department cover sheet availab
Department of Mathematics
2017 Semester One
Assignment 4
Due: 4pm, Thurs. 31st of May
Hand your completed assignment into the correct box on the ground floor of Building 301 (Room
G038) before the due date. Please use a Mathematics Department coversheet a
Department of Mathematics
MATHS 150
Assignment 2
Due: 4pm 12th of April 2017
Hand your completed assignment into the correct box on the ground floor of Building 301
(Room G40) before the due date. Please use a Mathematics Department coversheet available
f
Department of Mathematics
MATHS 190/190G
Assignment 2
Due: 4pm on April 11th
Hand your completed assignment in to the correct box in the Student Resource Centre (G38
Building 301) before the due date. Please use a Mathematics Department cover sheet availa
Department of Mathematics
MATHS 150
Assignment 1
Due: 4pm 22nd of March 2017
Hand your completed assignment into the correct box on the ground floor of Building 301
(Room G40) before the due date. Please use a Mathematics Department coversheet available
f
Department of Mathematics
MATHS 150, FC 2017
Assignment 3
Due: 4pm, Wed May 17th
Hand your completed assignment into the correct box on the ground floor of Building 301 (Room
G038) before the due date. Please use a Mathematics Department coversheet availa
VERSION 1
MATHS 250
THE UNIVERSITY OF AUCKLAND
FIRST SEMESTER, 2011
Campus: City
MATHEMATICS
Advancing Mathematics 2
(Time allowed: TWO hours)
NOTE: This examination contains EIGHTEEN questions in two parts A and B Marks for
Part A total 48 while marks fo
Maths 250
THE UNIVERSITY OF AUCKLAND
FIRST SEMESTER, 2013
Campus: City
MATHEMATICS
Advancing Mathematics 2
(Time allowed: TWO hours)
NOTE: The examination consists of SIX questions, each worth 15 marks.
Answer ALL questions.
You should show ALL your w
MATHS 250SC: Advancing Mathematics 2
Study guide: Semester 2, 2016
This is an important document containing a lot of information about the course. Please refer to
this study guide before emailing your lecturer with course-related questions: you may find t
MATHS 250
THE UNIVERSITY OF AUCKLAND
SECOND SEMESTER, 2011
Campus: City
MATHEMATICS
Advancing Mathematics 2
(Time allowed: TWO hours)
NOTES: This exam contains a total of 7 questions, all of equal value.
Answer any 6 questions.
All questions are worth 16
Maths 250
THE UNIVERSITYOF AUCKLAND
FIRST SEMESTER,2OL2
Campus: City
MATHEMATICS
Advancing Mathematics 2
(Time allowed: TWO hours)
NOTE: The examinationconsistsof SIX questions,eachworth 15 marks.
Answer ALL questions.
You should show ALL your working, as
Maths 250
THE UNIVERSITY OF AUCKLAND
FIRST SEMESTER, 2015
Campus: City
MATHEMATICS
Advancing Mathematics 2
(Time allowed: TWO hours)
NOTE: Please answer all 7 questions. There are 90 marks available.
The questions are NOT of equal marks.
You should show A
Department of Mathematics
MATHS 108
Tutorial 4 Solutions
) 1.70
1. (a) = cos1 ( 144
5
(b) 2u + 12 v = (1, 2, 3, 4, 5)
2. ku + vk2 = kuk2 + kvk2
(u + v) (u + v) = u u + v v
(u + v) u + (u + v) v = u u + v v
uu+vu+uv+vv = uu+vv
u u + 2u v + v v = u u +
Department of Mathematics
MATHS 108
Tutorial 7 Solutions
1 3
1. (a) 2D C T = 5 4
1 1
(b) The matrix
undefined.
0
(c) DC = 0
0
A(B C) is undefined as B and C have different dimensions so their difference is
1 2
2 4
1 2
(d) The matrix CB is undefined as C
Department of Mathematics
MATHS 108
1. lim
x2
g(x)
f (x)
Tutorial 2 Solutions
= lim
x2
x2
1
x2
= .
+ 3x 10
7
2. (a) Yes this is a function.
(b) Not a function. For some x R there exists more than one y value.
(c) Not a function. For all x R there exist in
Department of Mathematics
MATHS 108
Tutorial 3 Solutions
1. Change 3x2 1 to 4x2 1.
2. (a) w R such that w 6= 17
(b) The time taken by an experienced worker to assemble the item in the factory.
3. f is discontinuous, g is continuous and h is discontinuous.