Father Michael McGivney Catholic Academy High School
CALCULUS grade 12

Fall 2013
Chapter 1
Rates of Change
Chapter 1 Prerequisite Skills
Chapter 1 Prerequisite Skills
Question 1 Page 2
a)
x
y
4
9
3
5
2
3
1
3
0
5
1
9
2
First
Differences
4
15
2
0
2
4
6
Answers may vary. For example:
The first differences are not equal, but they progress
Father Michael McGivney Catholic Academy High School
CALCULUS grade 12

Fall 2013
CHAPTER 2
Derivatives
Review of Prerequisite Skills,
pp. 6263
1. a. a5 3 a3 5 a5 1 3
5 a8
b. A 2 2a2 B 3 5 ( 2 2)3 A a2 B 3
5 2 8 A a2 3 3 B
5 2 8a6
7
4p 3 6p9
24p7 1 9
c.
5
12p15
12p15
5 2p16 2 15
5 2p
4 25
26 22
d. A a b B A a b B 5 A a4 2 6 B A b25 2 2
Father Michael McGivney Catholic Academy High School
CALCULUS grade 12

Fall 2013
CHAPTER 7
Applications of Vectors
m 2 5 52 1 122 2 2(5)(12) cos 135
2 !2
5 25 1 144 2 120a
b
2
5 169 1 84.85
5 253.85
Review of Prerequisite Skills, p. 350
1. The velocity relative to the ground has a
magnitude equivalent to the hypotenuse of a
triangle w
Father Michael McGivney Catholic Academy High School
CALCULUS grade 12

Fall 2013
5x+0y+§(m+1)z=§n
5x+0y+(2m+2)z=2n+1
2m+2=§(m+1)
m=1
5
§n=2n+1
n=3
b,L1:x+y+z=0
L22x+2y+2z=1
L322xy~z:3
L1+L223x=3,x=~1
(~1)+y+z=0
Z=t
(*1)+y+(t)=0
y=1t
x: 1,y= 1 t,z =t,zER
7. First nd the parametric equations of each line.
Then set these equations equal