Answers to Exercise 4.1(a)
(a) y = 3x + 4 (1) and y = -2x + 19 (2)
Substitute (1) into (2), we have 3x + 4 = -2x + 19
5x = 15 x = 3. Substitute x = 3 into (1), we
have y = 3(3) + 4 = 13.
The point of intersection is (3, 13)
3
(b) y = x 5 (1) and 2x
Answers to Exercise 8.1(a)
(a) f ( x) (3 x 2)( x 2 2) f '( x) (3 x 2)
d 2
d
( x 2) ( x 2 2) (3 x 2)
dx
dx
(3 x 2)(2 x) ( x 2 2)(3) 9 x 2 4 x 6
d
d
(2 x 1) (2 x 1) ( x 3 1)
dx
dx
( x3 1)(2) (2 x 1)(3 x 2 ) 8 x 3 3 x 2 2
(b) f ( x) ( x 3 1)(2 x 1) f '( x)
Answers to Exercise 1.1
(a) False. Consider a = 2 and b = . Then ab = 1 but a,
b 1
(b) True. Multiplying both sides of the equation by 1/a
1
1
0or
b=0
ab
(which exists because a0), we have
a
a
(c) False. Consider a = 3 and b = 2. Then a b = 3 2
b a =
Answers to Exercise 9.1(a)
(a)(i) f(x)=2x2 - 3x + 4,f(x) = 4x 3 and f(x) = 4 > 0 for all
values of x. So f is
concave upward on
(-,)
1/ 2
1
/
2
1/ 2
1
1
f
(
x
)
(
4
x
)
,
f
'
(
x
)
(
4
x
)
(
1
)
(
4
x
)
2
2
(ii)
f " ( x) 14 (4 x) 3 / 2 (1) 4( 41x )3 / 2
Answers to1Exercise 10.1(a)
(a ) x dx x C
3
4
3
2 3 / 2
2 3/ 2
(b) t dt t dt t C
t C
3
3
1/ 2
(c) 5e x dx 5e x C
(d ) x
1/ 2
2x
1 / 2
2 3/ 2
1/ 2
dx x 4 x C
3
Answers to Exercise 10.1(b)
(a) f(x) = 3x2 + 4x 1; f(x) = x3 + 2x2 x + C.
Using the given i
Answers to Exercise 7.1(a)
(a)
lim f ( x) 1
(b)
x 1
lim f ( x) 0
x 0
f(x)
f(x)
f(x)=x
1
1
1
2
x
x
0
f(x)=x
f(x)=-x+2
Answers to Exercise 7.1(b)
x2 1
( x 1)( x 1)
(a ) lim
lim
lim ( x 1) 1 1 2
x 1 x 1
x 1
x 1
x 1
x 2 25
( x 5)( x 5)
(b) lim
lim
lim (
Answers to Exercise 3.1(a)
y2 y1 8 3
(a)m
5
x2 x1 5 4
y2 y1
83
5
(b)m
x2 x1 4 (2) 6
Answers to Exercise 3.1(b)
Since the equation is in the slope-intercept
form, we read off the slope m = 4.
(a) If x increases by 1 unit, then y changes
by 4 units (inc
Answers to Exercise 6.1(a)
(a) A 1000(1 0.07)8 $1718.19
m
r
(b)reff 1 1,
m
r 0.1,
m2
2
0.1
reff 1
1 0.1025,
2
8
or
0.06
(c) P 40,0001
$31,576.37
2
10.25%
Answers to Exercise 6.1(b)
(a) The family will owe the amount A, where
A P(1 rt ) 120,000
Vaccines are the most effective method for preventing infectious diseases. The researchers enumerated three types of
vaccines that are mostly use today such as the live attenuated ex: MMR and AMV, inactivated ex: Hep A and Polio, and
subunit vaccine that
The third method is based from the
Archimedes Principle. In this method, a
given material will be suspended in a liquid
that has approximately the same density.
1. Theory
Density
The density
of a material is
defined as the ratio of its mass m to its
volum
I was born on May 26,
1998. The
first princess of Maya
Family.
Dont bathe me the
water is COLD!
I was baptized when I
was two weeks old. My
mom looked very
happy.
Had my first solid food
which was mashed
potato. Yummy
Wanting to have my
crawler but my co
Section
PE class
I.
g.
h.
r.
2
always
often
sometimes
Seldom
Never
3
Stress eating
Sleeping longer
than usual
Anxious/ Irritable
Mood swings
Low Self esteem
Frequent Alcohol
Consumption
Tobacco Use
Illicit drug use
Others
a.
b.
c.
d.
e.
f.
4
School
Family
Outline: Renal Disease
I.
II.
III.
IV.
I.
II.
Definition
A. Kidney and its functions
B. Kidney disease
1. Acute kidney disease
2. Chronic kidney disease
Causes of Kidney Disease
Signs and Symptoms
Preventions
Defintion
A. Ang kidney o Ang bato o kidney ay
LESSON PLAN
Theme: Breastfeeding
Title:
Target Age: Pregnant Mothers
Goal: To conduct health education to all pregnant mothers regarding breastfeeding. To provide the definition of
breastfeeding and the expected outcomes on its first onset, discuss its be
SELF
HOME
REGION
VULNERABILITIES
I am afraid to be alone
and left behind.
I easily get panic.
I cannot say no to my
baby brothers.
I can be my best or my
worst inside my home
because I am in my
comfort zone.
I feel the shivers when I
am alone at home.
I a
Stud
ent
Distance travelled by
the meter stick (m)
Normal
A
B
C
D
0.12m
0.32m
0.15m
0.25m
Distracte
d
0.25m
0.40m
0.33m
0.31m
Normal Distract
Reaction ed
Time (s) Reaction
Time (s)
0.16s
0.26s
0.17s
0.23s
0.23s
0.29s
0.26s
0.25
Table 2 shows the reaction
Why politicians are asking the wrong questions about
gender inequality
ONE issue that virtually every Democratic presidential candidate has weighed in on
this year is the wage gap between the sexes. The most commonly-cited statistic is that
women make jus
Candidate Name
Civics Group
General Paper Tutor
MERIDIAN JUNIOR COLLEGE
Preliminary Examination
Higher 1
_
H1 General Paper
8806/02
rd
Paper 2
3 September 2010
1 hour 30 minutes
Candidates answer on the Question Paper
Additional Materials: 1 Insert
_
READ
Meridian Junior College
General Paper JC2 Preliminary Examination (2010)
Paper 2 Suggested Answer Scheme
PASSAGE 1
(1) Explain the authors argument in paragraph 1. Use your own words as far as possible. [2]
From Passage (lifts and contextual clues)
custom