MATH 2113Practice Class: Sheet 3
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working, and pay careful attention to its setting out.
1. A space curve C is dened by the parametric equati

ONPS2320: Applied Science 1 Physics & Chemistry: Chemistry
Semester 1 Practice Examination 2010, page 2
1. Fill in the electrons in boxes diagram on the right for Answer:
Sc.
(1 mark)
1s
2s
2p
3s
3p
3d
4s
2. Give the electron configuration (e.g. 1s

ONPS 2320: Applied Science 1 CHEMISTRY
Thermochemistry Problems
7. Methyl alcohol, CH3OH, is toxic because liver enzymes oxidize it to formaldehyde, HCHO, which can
coagulate protein, and water.
The relevant equation is 2 CH3OH (aq) + O2 (g) 2 HCHO (aq) +

ONPS 2320: Applied Science 1 CHEMISTRY
Redox Reactions Problems
1. What is the key process in a redox reaction?
2. Define oxidation and reduction in terms of (a) electrons; (b) oxidation number.
3. What is the oxidation number of (a) Br in BrO 3; (b) Mn i

ONPS 2320: Applied Science 1 CHEMISTRY
Chemical Equilibrium Problems
1. List the possible ways in which you can alter the equilibrium composition of a reaction mixture.
2. Predict the effect of the following changes on the position of each equilibrium:
(a

ONPS 2320: Applied Science 1 CHEMISTRY
Bonding Problems
Use the Periodic Table above to help answer the questions below:
1. In each case, give an example:
(a) A group 14 metal
(b) A group 14 non-metal
(c) The lightest transition metal
(d) A noble gas
(e)

ONPS 2320: Applied Science 1 CHEMISTRY
Atomic Structure Problems
Use the Periodic Table above to help answer the questions below:
1. For each of the following isotopes, say how many protons and neutrons it has in its nucleus:
(a)
(b)
13
C
199
Hg
(c)
(d)
1

ONPS 2320: Applied Science 1 CHEMISTRY
Atmospheric Chemistry Problems
1. List the layers of the atmosphere, and for each layer, say what happens to the temperature as the altitude
increases.
2. What acids contribute to acid rain, and what are their source

ONPS 2320: Applied Science 1 CHEMISTRY
Learning Objectives
Acids & Bases
As a result of this part of the course you should be able to:
1. Give the Lowry-Brnsted definition of the terms acid and base, recognise them, and write their
balanced reaction.
2. I

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MATH2113 Feedback Exercise 11
Week 12, Semester 1, 2010
1. Consider the following IVP governing a forced undamped oscillation
x + 9x = 3 cos 3t,
x(0) = 0,
x(0) = 3.
(a) Fin

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MATH2113 Feedback Exercise 10
Week 11, Semester 1, 2010
1. Determine constants and such that
3 cos t sin t = sin(t + )
Solution
=
(1)2 + ( 3)2 = 2
and = arctan 3 =
3
The L

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MATH2113 Feedback Exercise 9
Week 10, Semester 1, 2010
1. Determine the general solutions of the following dierential equations.
(a)
9 + 12x + 4x = 0
x
Solution
Characteris

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MATH2113 Feedback Exercise 8
Week 9, Semester 1, 2010
1. The velocity v of a projectile traveling vertically downwards with quadratic air resistance is governed
by the equa

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MATH2113 Feedback Exercise 7
Week 8, Semester 1, 2010
1. A chain is hanging between the two poles located at
x = 4 and x = 4. The curve of this hanging chain
is the catenar

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MATH2113 Feedback Exercise 6
Week 7, Semester 1, 2010
1. (Algebraic Substitution) Evaluate the following integrals:
(a)
cos(ln x)
dx
x
(using u = ln x) ;
Solution
Put u = l

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MATH2113 Feedback Exercise 5
Week 6, Semester 1, 2010
1. In a baseball game a player hits a home run. Under the inuence of gravity, the ight of the baseball
is described by

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MATH2113 Feedback Exercise 4
Week 5, Semester 1, 2010
1. Find a vector equation or a set of parametric equations of the line passing through the points
A(2, 1, 3) and B (4,

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MATH2113 Feedback Exercise 3
1.
Week 4, Semester 1, 2010
The three supporting cables exert the forces
shown on the rectangular plate.
Determine the scalar component of the

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MATH2113 Feedback Exercise 2
1.
Week 3, Semester 1, 2010
Express the forces FB and FC as Cartesian vectors,
and determine the angle between the cables AC
and AB in the diag

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MATH2113 Feedback Exercise 1
1.
Week 2, Semester 1, 2010
Determine the Cartesian forms of F1 and F2 .
Solution
F1 = 200 cos 45 i + 200 sin 45 j
2
2
i + 200
j
= 200
2
2
= 10

MATH 2113Practice Class: Sheet 10
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To obtain full marks in this practice sheet you need to provide complete working, and pay careful attention to its setting out.
1. Determine constants and such that
cos t + 3 sin

MATH 2113Practice Class: Sheet 9
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Student Number:
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1. Determine constants and such that
3 cos t + 4 sin

MATH 2113Practice Class: Sheet 8
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working, and pay careful attention to its setting out.
1. (a) Determine the solution of the IVP (a critical

MATH 2113Practice Class: Sheet 7
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A wood chipping machine is designed to eject wood ch

MATH 2113Practice Class: Sheet 6
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1. Determine the general solution of each of the fol

MATH 2113Practice Class: Sheet 5
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1. A body is cooling in surroundings maintained at 1

MATH 2113Practice Class: Sheet 4
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working, and pay careful attention to its setting out.
1. In a baseball game a player hits a home run. Unde

MATH 2113Practice Class: Sheet 2
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working, and pay careful attention to its setting out.
1. Use the dot product to determine the cosine of th

MATH 2113Practice Class: Sheet 1
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working, and pay careful attention to its setting out. Reference is made to
Hibbelers Engineering Mechanics