Linear Inequalities in Two Unknowns
Exercises()
1. Solve the following compound inequalities graphically.
(a)
x 2 and x < 3
(b)
x < 1 and x < 5
(c)
x 4 and x > 2
(d)
x > 2 and x 1
(a)
(b)
The solutio
PHIL 201
STUDY GUIDE: LESSON 13
Justification, Part 1: Noetic Structure
View and take notes on the presentation, An Overview of Issues in Contemporary Justification,
Part 1.
Two contemporary issues i
Arithmetic and Geometric Sequences
and their Summation
Exercises()
1 (a) Find the general term of the arithmetic sequence 12, 7, 2, 3, .
(b) If the kth term of the sequence is 38, find k.
(a)
12, 7,
Soil/117i UVL
HKUST
MATHIOOB Calculus and Linear Algebra
Midterm 2 (Version A) Name:
12th November 2016 Student ID:
10:30-12:00 Lecture Section:
Directions:
0 Do NOT open the exam until instructed to
Coordinate Treatment of Simple Locus Problems
Exercises()
1. Find the equation of a straight line passing through the origin and the following points.
(a)
A(3, 4)
(b) B(8, 2)
2. Find the equations of
Exponential and Logarithmic Functions
Exercises()
1. Express each of the following in the form x p , where p is a rational number.
x p p
7
(a)
x4
1
(b)
( x )3
5
1
7
(a)
x4 (x4 ) 7
4
x7
1
(b)
(5 x )
Coordinate Treatment of Simple Locus Problems
Exercises()
1. Find the equation of a straight line passing through the origin and the following points.
(a)
A(3, 4)
(b) B(8, 2)
(a)
The equation of the s
Linear Inequalities in Two Unknowns
Exercises()
1. Solve the following compound inequalities graphically.
(a)
x 2 and x < 3
(b)
x < 1 and x < 5
(c)
x 4 and x > 2
(d)
x > 2 and x 1
2. Solve 5 3x 2
5
Functions and Graphs
Exercise()
1. If f(x) = 4x2 + 3x, find the values of the function when
f(x) = 4x2 + 3x
(a)
x = 1,
(b) x =
1
.
2
2. If f(x) = 2x2 + x, find the values of
f(x) = 2x2 + x
(a)
a
f ,
Measures of Dispersion
Exercises()
1. Find the inter-quartile range for each of the following data sets.
(a)
2, 4, 5, 6, 6, 7, 8, 10, 13
(b)
4, 2, 0, 6, 8, 9, 14, 15
2. The following data show the wei
Basic Properties of Circles (I)
()
Exercises ()
1. In the figure, ACB is a chord of the circle and OC AB. If AB = 8 cm and OC = 3
cm, find the radius of the circle.
ACB OC AB AB = 8 cm OC = 3 cm
Join
Basic Properties of Circles (II)
()
Exercises()
1. In the figure, AB is a diameter of the circle, DC is the tangent to the circle at D
and BAD = 32. If ABC is a straight line, find x.
AB DC D BAD = 3
Exponential and Logarithmic Functions
Exercises()
1. Express each of the following in the form x p , where p is a rational number.
x p p
(a)
(b)
7
x4
1
( x )3
5
2. Simplify
(6 x 3 ) 2
and express yo
Basic Properties of Circles (I)
()
Exercises ()
1. In the figure, ACB is a chord of the circle and OC AB. If AB = 8 cm and OC = 3
cm, find the radius of the circle.
ACB OC AB AB = 8 cm OC = 3 cm
2. I
Basic Properties of Circles (II)
()
Exercises()
1. In the figure, AB is a diameter of the circle, DC is the tangent to the circle at D
and BAD = 32. If ABC is a straight line, find x.
AB DC D BAD = 3
Arithmetic and Geometric Sequences
and their Summation
Exercises()
1 (a) Find the general term of the arithmetic sequence 12, 7, 2, 3, .
(b) If the kth term of the sequence is 38, find k.
(a)
12, 7,
(MATH1003)[2013](s)midterm~=upvv40^_99002.pdf downloaded by ylinbg from http:/petergao.net/ustpastpaper/down.php?course=MATH1003&id=3 at 2016-12-13 14:00:35. Academic use within HKUST only.
HKUST
MATH
HKUST
MATH1003 Calculus and Linear Algebra
2nd Midterm Exam (Version A) Name:
14 November 2015 Student ID:
10:30am-12pm Lecture Section:
Directions:
Do NOT open the exam until instructed to do so. -
$12 ( We in
HKUST
MATHIODS Calculus and Linear Algebra
Final Exam (Version B) Name:
10th December 2015 Student ID:
12:30-14:30 Lecture Section:
Directions:
0 Do NOT open the exam until instructed to
Measures of Dispersion
Exercises()
1. Find the inter-quartile range for each of the following data sets.
(a)
2, 4, 5, 6, 6, 7, 8, 10, 13
(b)
4, 2, 0, 6, 8, 9, 14, 15
(a)
Q1
Q3
45
4.5
2
8 10
9
2
Int
Functions and Graphs
Exercise()
1. If f(x) = 4x2 + 3x, find the values of the function when
f(x) = 4x2 + 3x
(a)
x = 1,
(b) x =
(a)
1
.
2
f (1) 4(1) 2 3(1)
4 3
7
The value of the function is 7 when
Variations
Exercises()
1. Given that y varies directly as x, the following table shows some corresponding values of x and y.
y x x y
x
8
12
16
20
y
(a)
4
2
4
6
8
10
Find the variation constant.
(b)
More about Trigonometry (II)
()
Exercises()
1. The area of PQR is 120 cm2. If PQ = 20 cm and QR = 17 cm, find the
possible values of Q correct to 1 decimal place.
PQR 120 cm2 PQ = 20 cm QR = 17 cm Q
Variations
Exercises()
1. Given that y varies directly as x, the following table shows some corresponding values of x and y.
y x x y
x
8
12
16
20
y
(a)
4
2
4
6
8
10
Find the variation constant.
(b)
Uses and Abuses of Statistics
Exercises()
1. A staff member of a museum wants to conduct a survey on the visitors opinions on the museum. She
interviews a visitor every 15 minutes, choosing whoever ha
Uses and Abuses of Statistics
Exercises()
1. A staff member of a museum wants to conduct a survey on the visitors opinions on the museum. She
interviews a visitor every 15 minutes, choosing whoever ha
More about Trigonometry (I)
Exercises()
1. In the figure, B = 74, A = 90 and AC = 15 cm. Find the lengths of AB and BC correct to 3
significant figures.
ABC B = 74
A = 90 AC = 15 cm AB BC
tan B
AC