Table 1: DCP aspect 1 = partial
Table l
a. Titration of standard NaOH against vinegar
Initial volume i I:m3
Volume of base required i om3 mm
Colour of solution at end point light pink dark pink
Table 2: DCP aspect 1 = partial
Table 2
b. Titration of stand
5.1 5.4 VERIFYING TRIGONOMETRIC IDENTITIES
Hints for Verifying Identities
1.) Learn the fundamental identities given in section 5.1. Whenever you see either side of a fundamental
identity, the other side should come to mind. Also, be aware of equivalent f
5.5 TRIGONOMETRIC EQUATIONS
Solving a Trigonometric Equations
1.) Decide whether the equation is linear or quadratic in form, so you can determine the solution method.
2.) If only one trig function is present, first solve the equation for that function.
3
3.5 EXPONENTIAL GROWTH & DECAY; MONDELING DATA
Exponential Growth & Decay Models
The mathematical model for EXPONENTIAL GROWTH or DECAY is given by
f (t ) A0 e kt or A A0 e kt
where A0 is the original amount, or size at time t = 0, A is the amount at time
3.2 LOGARITHMIC FUNCTIONS
Recall that an exponential function is a one to one function and therefore has an inverse. The
inverse functions of the exponential functions are called logarithmic functions.
DEF: A LOGARITHMIC FUNCTION WITH BASE b is a function
5.4 PRODUCT TO SUM AND SUM TO PRODUCT FORMULAS
Product to Sum Formulas
sin sin
1
cos cos
2
cos cos
1
cos cos
2
sin cos
1
sin sin
2
cos sin
1
sin sin
2
Express as a sum of difference.
EX: sin8x sin4 x
EX:
5x x
cos sin
2 2
1
cos8x 4x cos8x 4x
3.4 EXPONENTIAL AND LOGARITHMIC EQUATIONS
One to One Properties
bx b y
log b ( x) log b ( y)
Inverse Properties
b log ( x) x , x 0
if and only if x = y
if and only if x = y
b
log b (b x ) x
Exponential Equations
General Strategy
1.) If both sides can be w
3.1 EXPONENTIAL FUNCTIONS
DEF: An EXPONENTIAL FUNCTION f WITH BASE b is a function of the form f ( x) b x or
y b x , b > 0 and b 1, and x is any real number.
EX: Let f ( x) 15.41.4x 2 . Find f(6). Round to the nearest hundredth if necessary.
General Prope
3.3 PROPERTIES OF LOGARITHMS
Properties of Logarithms
Let b, M and N be positive real numbers, b 1, and p and x be real numbers, then
1.) log b (1) 0
2.) log b (b) 1
3.) log b (b x ) x
4.) b log ( x) x , x 0
5.) log b (MN ) log b (M ) log b ( N ) .
b
M
N
Chemistry 30
Unit 6: Redox Reactions and Electrochemistry
Practice Set 1: Oxidation Numbers and Redox Reactions
1. Determine the oxidation number of each element in the following compounds.
Rules:
1. Pure elements have an oxidation number of 0
2. If the c
. 1.714kaaaemmwywmm_m
vim (on U"? Immuias (yr
Chemistry 30 Revrew Handout DHH' nalists E, Page 11
Review of Chemistry 20 Stoiclu'ometry h t @ C53" -
M \l
1. If 15.4 niL of 0.236 moL/L hydrochloric acid is used to titrate 23.1 mL of sodium
hydrox1de soluti
Chemistry 30 Review Handout
Page 5
Review at Science 10 Chemical Equations
For each of the followin
s - . .
equation. g tatements determme the reaction type and write a balanced chemical
l. I ' -
n 1774 Joseph PTICStly discovered oxygen by decomposing an
Chemistry 30 Review Handout
Review at Chemist 20 Solutions, Acids and Bases:
1. Identify the species present when the following subs
tances are put in a water environment.
a. sucrose C/ILHZLG (M) I HZQ UL)
b. silver sulde A315 (5) j 447, O (9)
c. ammonium
Chemistry 30 Review Handout a
Page 7
21. Mercaptans (C H
2 58H . .
the natural gas. (g) are added to natural gas to give It a distinct odor. They are burned with
22. A stud t ' ' '
hydro 3:160:11 1(litigenrmine the concentration of Vinegar (CH3COOI:I(aq)
IB Sciences: Internal Assessment Rubric Requirements
Design:
Aspect 1: Problem/research question
Focused: have you stated what is being changed and what is being measured?
Is it physically possible to answer this question?
Keep in mind that the purpose of
- 'c acid and calcium
1 1. Phosphoric acid is produced at a fertilizer plant by the reaction Of 511mm
phosphate solutions.
. - nesium
12. Bromine is produced commercially from the reaction between chlorine gas and a mag _.
bromide solution found in seawat
Name:
Lab Title:
Date:
Topic/Option:
Time:
Total:
Design
Levels/marks
Complete/2
Partial/1
Not at all/0
Aspect 1
Aspect 2
Aspect 3
Defining the problem and
selecting variables
Formulates a focused
problem/research question and
identifies the relevant vari
Applications of
the Derivative
Chapter PrQVIEW Much of the previous chapter was devoted to the basic mechan- 4.1 Maxims and Minima
ics of derivatives; evaluating them'and interpreting them as rates of change.
5.1 5.4 VERIFYING TRIGONOMETRIC IDENTITIES
Hints for Verifying Identities
1.) Learn the fundamental identities given in section 5.1. Whenever you see either side of a fundamental
identity, the other side should come to mind. Also, be aware of equivalent f