Unit Assignment: Trigonometric
Functions and Graphs
Instructions
You can either copy and paste these questions into a word document, or use the "Print Assignment" button to print a
hard copy for yourself. Then complete these assignment questions by hand,
Unit Assignment: Trigonometry
Instructions
You can either copy and paste these questions into a word document, or use the "Print Assignment" button to print a
hard copy for yourself. Then complete these assignment questions by hand, or in your word proces
MCV4U d2 Intersections Assignment
Answer all questions with full solutions. Make sure your work is legible, even after you have
scanned it, and submit it as a single file.
1. The equation of a line can be determined using two points on the line.
a. Find t
MCV4U d1+ B Curve Sketching Assignment
Answer all questions with full solutions. Make sure your work is legible, even after you have
scanned it, and submit it as a single file.
For each of the following, find (if applicable):
-x and y-intercepts
-Sign cha
MCV4U d1+ B Trigonometric Differentiation & Applications Assignment
Answer all questions with full solutions. Make sure your work is legible, even after you have
scanned it, and submit it as a single file.
1. Find the derivatives of each of these function
MCV4U d1+ B Vectors Assignment
Answer all questions with full solutions. Make sure your work is legible, even after you have
scanned it, and submit it as a single file.
1. State whether each quantity is a vector or scalar. Explain.
a. Speed
b. Velocity
c.
MCV4U d1+ B Linear Dependence and Coplanarity Assignment
Answer all questions with full solutions. Make sure your work is legible, even after you have
scanned it, and submit it as a single file.
1. Write an example of each of the following (assuming it is
MCV4U d1+ B Vector Applications Assignment
Answer all questions with full solutions. Make sure your work is legible, even after you have
scanned it, and submit it as a single file.
1. Given a = [4, -2, 3] and b = [5, 6, -1], find
a.
ab
b. A unit vector in
MCV4U d1+ B Concepts of Calculus Assignment
Answer all questions with full solutions. Make sure your work is legible, even after you have
scanned it, and submit it as a single file.
1. Determine the following limits (if they exist).
a.
lim 2 x3 5 x 2 12
b
MCV4U d1+ B Derivative Applications Assignment
Answer all questions with full solutions. Make sure your work is legible, even after you have
scanned it, and submit it as a single file.
1. The Louvre museum in Paris features an inverted square pyramid with
Diploma in IT / FI
Accounting
Diploma in IT / FI
Year 2016/17 (Last Update: 19-10-2016)
Week 3
5 hours
Analysing Transactions
Student Name & ID :
ChangKai(S10171626)
Objectives:
- Understand the characteristics of an account
- Understand the rules of debi
Practice question on Loans and Credit Cards
Mark holds the UOB One credit card which offers revolving credit facility. He is given a credit
limit of $8,000 on this credit card. If mark uses the credit card, the minimum monthly payment
to this card is 10%
Read the Journal Article Historical Reflections On Teaching Trigonometry that is posted on my website
under Unit 6 and also on the T Drive. There are only six pages so make sure you read the article for
understanding. As you read, take Cornell notes and w
Topic 6B Limits
From the last section, we can develop both average and instantaneous speeds using the
limit process.
In fact, limits are fundamental to all of calculus. In this section, we will give a basic
definition of a limit, and show how it can be ap
Topic 6A Using motion to illustrate the concept of derivatives
While the topics of algebra, logarithms, and trigonometry are of fundamental importance
to the scientist, a wide variety of technical problems cant be solved using only these
tools.
Many probl
Hello Everyone,
The Seneca College Nursing program uses the Health Sciences Placement Network, known as HSPnet
to coordinate student placements. This is a province-wide placement system, which co-ordinates and
manages student placement requests. If you pl
Graphing Practice
1. Give the coordinates of the points graphed (each box represents 1 unit):
A:
B:
D:
E:
C:
2. Plot the following points on a rectangular coordinate system.
M(5, 3)
N(0, -3)
P(-4, 5)
Q(5, 0)
R(-4, -6)
S(-4, -3)
3. Give the quadrant in whi
Topic 4E The Sine Wave as a Function of Time
P
O
A sine curve can be generated by rotating a
vector OP (called a phasor) using a constant
angular velocity (rad/s).
1
Compare the equation
y a sin(bx c) d
With
y a sin( t ) d
Ex 1) Write the equation for a s
Topic 6F Derivative of a Function Raised to a Power (Chain Rule)
To determine which rule to apply, you must correctly identify the function to be solved.
Ex 1)
y (1 2 x)3
- is a power function
- must expand to take derivative
Chain Rule:
y un
where u is a
Topic 5A: Fundamental Identities
Reciprocal Relations:
If
Unit Circle:
Then
sin csc 1
csc
sec
1
cos
cot
Quotient Relations:
Pythagorean Relation:
x2 + y2 = 1
cos2 sin 2 1
cos2 sin 2 1
cos
2
2
cos2 sin 2 1 sin
1
Practice
Change to an expression conta
Topic 8A Motion of a Point
1. Rectilinear (straight line) motion
The function
s f t
The first derivative
represents displacement at a given time t.
v f t
represents the instantaneous velocity or
change of displacement with respect to time.
The second der
Q1-3
Q9-11
Q5-7
CHAPTER 6
Chapter Test, pp. 360361 Solutions to Odd Number Problems
1.
a)
b)
P(3H) =
3.
1
8
A single die can roll a prime in three ways: 2, 3, or 5.
3
6
1
=
2
P(one prime) =
10
1
P(10 primes) =
2
1
=
1024
Top
5.
a)
i)
65
30
+
150 150
95
=
Q1-5
Q15-19
Q7-13
CHAPTER 6
Review of Key Concepts, pp. 357359 Solutions to Odd Number Problems
1.
a)
7
7+5+8
7
=
20
P(White) =
b)
P(not black) = 1 P(black)
5
=1
20
3
=
4
3. Answers may vary.
a) P(all classes cancelled) = low
b) P(at least one severe snow
Q1-3
Q11-13
Q19
Q5-9
Q15-17
CHAPTER 6
Review of Prerequisite Skills pp. 302-303 Solutions to Odd Number Problems
1. To express a decimal as a percent, multiply by 100. You can achieve this by moving
the decimal point two places to the right.
a) 0.35 = 35%
Q1-3
Q7
Q15
Q5
Q9-13
CHAPTER 6
Section 6.6, pp. 353356 Solutions to Odd Number Problems
1.
a) Not a probability vector; the components do not add to 1.
b) A probability vector; the components add to 1 and all lie between 0 and 1.
c) Not a probability vect
Q1-3
Q7-9
Q15
Q5
Q11-13
CHAPTER 6
Section 6.5, pp. 340343 Solutions to Odd Number Problems
1.
a) Non-mutually exclusive; a wool sock may be grey.
b) Non-mutually exclusive; a student on the honour roll may have brown eyes.
c) Mutually exclusive; the numbe
Q1-7
Q15-17
Q9-13
CHAPTER 6
Section 6.4, pp. 334335 Solutions to Odd Number Problems
1.
a) Dependent; staying up late may affect performance on the examination.
b) Independent; eating chocolate is unlikely to affect performance at checkers.
c) Independent
Q1-7
Q9-15
CHAPTER 6
Section 6.3, pp. 324326 Solutions to Odd Number Problems
1. The three possible scenarios are F1F2 versus M1M2, F1M1 versus F2M2, and
F1M2 versus F2M1
P(two females are partners) =
3. a )
1
3
b)
P(2R) =
3C0
8 C2
5 C2
P(not 2G) = 1
10
Q1-3
Q11-15
Q5-11
CHAPTER 6
Section 6.2, pp. 318319 Solutions to Odd Number Problems
1. a) Odds against good weather = 2:3
b)
3
2+3
3
=
5
P(good weather) =
3. a) P(sum=12)=
1
. The odds in favour of rolling 12 with two dice are 1:35.
36
b)
1+2+3+4
36
10
=
Q1
Q7-9
Q3-5
Q11
CHAPTER 6
Section 6.1, pp. 312313 Solutions to Odd Number Problems
1.
a)
m
n
1
=
2
P( x ) =
b)
m
n
1
=
4
P( x ) =
c)
P(at least one head)= 1 P (three tails)
1
=1
8
7
=
8
d) There are two composite numbers, 4 and 6, among the faces of a d