Assignment 9 Solutions
1. Write each of the following matrices and their inverses as a product of elementary matrices.
(a) A =
Solution: We row reduce A to I keeping track of our elementary row-operations.
1 2 R1 + 2R2
5 R1 R2
2 4 2
* Eu* #&e6i*
ih qn s $etqohc od.cfw_.
16 pari *c.h
4 cfw_t,sa .* ," $ i* g\
ASSIGNMENT 9: Mappings, Jacobians
This assignment is due on Thursday, March 23rd before 11:30pm.
1. Consider (u, v) = F (x, y) = (y + ex , ex y).
(a) Find and sketch the image of the square with vertices (0, 0), (0, 1), (1, 1), and
Writing the Dual of a Linear Program
This is supposed to be a short tutorial on writing the dual of a linear program. After reading this note,
you will be able to write a dual without having to memorize or look up Table 4.1 on page 143 o
Some Notes on: More Annuities, General Annuities and Housing and other
1. More annuities
In the previous discussion, we basically discussed simple annuities. In this note, we shall look at
Annuity Due and Perpetuity.
Note that in an ordin
1.0 Business Decisions, capital budgeting and depreciation
In this chapter, we shall learn to:
a. Calculate the net present value of a series of cash flows and use it to make a business
b. Calculate the internal rate of return of a series of c
Tutorial Questions Week 5-6: (Answers to be discussed in class)
Topic: Demand and Supply
Readings: Units 4 & 5
Question 1: Your are given the following demand and supply equations
Qd = 18-3P and Qs = -6+9P.
The equilibrium price a
Friday 4th September, 2015 [End of week 7]
Solve for x, y, and z for the following problem [Use either the method of
Elimination OR the method of substitution]
+ !" # !$! = !
FM101: Financial Mathematics
Tutorial 1 Solution: Basic Algebra and Linear Equations
Question 1 solution:
Let black pearl product loan = x
Let white pearl product loan = y
Total loan = $118,500
Black pearl loan more by $34,500
+ = 118,500
= + 34500
UU114 Oral Presentation Marking Criteria
Academic Excellence - 4
The University of the South Pacific
Faculty of Business and Economics
SCHOOL OF ACCOUNTING & FINANCE
FM101: FINANCIAL MATHEMATICS
MID SEMESTER TEST SEMESTER 2, 2015
Time allowed: 2 hours plus 10 minutes reading
60 marks (20% of f
FM101 Assignment 1: Question 6 Correction
Correction in question 6 of assignment 1, page 17 of FM101 I&A booklet, semester
The marginal cost function should read as:
() = 1000 20 + 2
The sign of the 1000 should be negative, not positive.
The correct q
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Table Of Contents
Our Base-Case Scen
Maple (CLASSIC) for Calculus
Classic Version 9.5, 10, 11 or 12 for Windows
QUICK REFERENCE GUIDE
Created and Copyrighted by Barbara Forrest
What is Maple?
Maple is an interactive computer algebra system that provides
MATH 128 : Calculus 2 for the Sciences
Weekly Online Assignment #11:
Due by 9:00 pm on Wednesday, March 22, 2017
Weight: 3 %
Ensure you have completed the weekly tasks up to and including Friday, Week 10 on Arc Length of
MATH 128 : Calculus 2 for the Sciences
Weekly Online Assignment #10: Curves (Vector Valued Functions)
Due by 9:00 pm on Wednesday, March 15, 2017
Ensure you have completed the weekly tasks up to and including Thursday, Week 9 on Introduct
MATH 128 : Calculus II for the Sciences
Weekly Online Assignment #12:
Polar Curves and Review Questions
Due by 9:00 pm on MONDAY, April 3, 2017
(LAST DAY OF THE TERM)
Ensure you have completed the weekly tasks up to and includi
CHAPTER 5. Curves
5.3. Derivatives of Vector-valued Functions: Velocity
Not surprisingly, we have the following theorem that tells us that we need only check the
continuity of the component functions to see that F (t) is continuous.
Theorem. [Continuity T
Integration and Partial Fractions
in Maple CLASSIC
(Classic Version for Windows)
Author: Copyrighted by B. A. Forrest (email@example.com)
Part 1: Integrating in Maple
Objective: Review how to use Maple to calculate indefinite and definite integrals.