MATHEMATICS 1LS3 TEST 3
Day Class F. Font, M. Lovri, D. Lozinski
Duration of Examination: 60 minutes
McMaster University, 14 November 2016
First name (PLEASE PRINT): QOLUT \ 0 N S
Family name (PLEASE
MATHEMATICS 1LS3 TEST 4
Day Class F. Font, M. Lovri, D. Lozinski
Duration of Examination: 60 minutes
McMaster University, 28 November 2016
First name (PLEASE PRINT): M
Family name (PLEASE PRINT): W
St
WRITTEN WORK (Total 42 marks):
1. (total 8) The 1H NMR and 13C NMR spectra (SPECTRA 13) for three compounds A,
B and C are shown below.
i) Assign spectra to the compounds (6).
A
@SPECTRA 1 are from co
How to Approach the Analysis of an IR Spectrum
In trying to analyze the spectrum of an unknown, you should concentrate your first efforts towards determining the
presence (or absence) of a few major f
Chem 1A03 Quiz 24' :- Quizzes 7 CHEM 1Ai Y How much energy cfw_E - ?) energy7|eve|573.pdf - 456 nm to m 7 Gear:
http /avenue.c|mcmaster.ca/d2|/Ims/quizz'ing/user/attempt/quizistartiframe,d2|?ou 849548
BIOLOGY 1A03
Cellular and Molecular Biology
FALL 2016
Please note that this lecture is copyrighted material & may
not be reproduced for any other purpose, nor distributed or
transmitted using any medi
SPH 4U
Holy Cross Catholic Secondary School
PHYSICS 12 (SPH 4U)
Final Exam
January 2012
Time: 2 hrs
Teacher: Mr. Pendergast
Total Marks: 75
30% of final mark -(25% Sections A-C , 3% Lab problem, 2% ex
5.2-1 Derivatives of General Exponential Function
y b x
Investigation (graphing calculator)
y 2 x
x
y
y
-2
-1
0
1
2
0.25
0.5
1
2
4
0.17
0.34
0.69
1.38
2.77
y'
y
y'
2 x h 2 x
h 0
h
y ' lim
(2 h 1)
,
h
Chapter 5
Derivatives of Exponential and Trigonometric Functions
5.1 Derivatives of Exponential Functions
x
y=b ,
b>0, b 1
b
(
0,
1 )(1, )
or
using the definition of the derivative,
f ( x +h ) f ( x )
6.2
Vector Addition
Parallelogram Law of Vector Addition
- Place two vectors a and b tail to tail
- Complete the parallelogram
AD , the diagonal.
- The sum of a and b is the vector
Two force vectors
5.3
Optimization Problems Involving Exponential Functions
Example 1 (P. 241)
The effectiveness of studying for an exam depends on how many hours a student studies. Some experiments show
that if the ef
6.3
Multiplication of a Vector by a Scalar
u=k a
Let
k
- a scalar
a - a non-zero vector
1)
k >0
u / a : same direction
|u|=|k a| : magnitude
a)
0< k <1 , u is shortened
e.g.
a
|a|=2
1
1
1
k = |u|= |a|
FUNDAMENTALSKILLSREVIEW
CONCEPT CLARIFICATION
Are there any questions that have
arisen from the modules?
U1M1, U1M2, U2M2
2/20
OVERVIEW
ENVIRONMENT
Evidence for Global Warming
3/20
ICECOREVOSTOKSTATIO
Unit 4 Equilibrium 7.1 Intro
Consider:
At equilibrium, the rates of the forward and reverse reactions are equal.
How the equilibrium is established is not relevant. Once equilibrium is
established, it
Chem4U-Thermo,Kinetics
Answer Section
MULTIPLE CHOICE
1B
2A
3 A *
4C
5B
6D
7B
8B
9B
10 E
11 C
12 D
13 C
14 E
15 C
16 C
17 E
18 C
19 D
SHORT ANSWER
20. ANS:
a. endothermic
b. positive
c. the energy req