Assignment 1.12
Tiany Dinh
38437133 #
November 22, 2013
Questions:
1. Consider the function
g (x) = (f ( cos(x)3 .
We know the following values for f (x) and f (x) given in the following
table.
x
 22
1

2
 23
f (x)
0
7
2
f ( x)
2
9
5
Find the equati
Mathematics 110001
Assignment 2.8 7th March 2014
Instructions:
There are two parts to this assignment. The rst part is on WeBWorK. Submit answers online.
The second parts consists of questions on this page. The solutions must be typed.
A physical copy
Assignment 2.3 27th January 2014
Mathematics 110004
1. Solve the following inequalities. Not by the box method, but by rst removing all roots and discontinuities
form the number line. Then determine the sign on one interval and work your way across the l
ASSIGNMENT 2 11
There are two parts to this assignment. The rst part is on WeBWorK the link is available on the course
webpage. The second part consists of the questions on this page. You are expected to provide full solutions
with complete arguments and
MATH 110: DIFFERENTIAL CALCULUS
Objectives
A student should be able to do the following things by the end of each appropriate unit. Please note that
this is a minimal set of objectives. You are encouraged to add your own.
Lines and distances
1. Write down
Assignment 1.5 4th October 2013
Mathematics 110002
There are two parts to this assignment. The rst part is on WeBWorK the link is available
on the course webpage. The second part consists of the questions on this page. You are expected
to provide full so
ASSIGNMENT 14 (Section 002) Due: Friday, October 11
There are two parts to this assignment. The rst part is on WeBWorK the link is available on the course
webpage. The second part consists of the questions on this page. You are expected to provide full so
ASSIGNMENT 14 (Section 002) Due: Friday, September 27
There are two parts to this assignment. The rst part is on WeBWorK the link is available on the course
webpage. The second part consists of the questions on this page. You are expected to provide full
ASSIGNMENT 14 (Section 002) Solutions Part 2
1. Please see Solutions Part 1
2. Please see Solutions Part 1
An alternative answer to the bonus is: (taken from Wikipedia)
If acceleration can be felt by a body as the force (hence pressure) exerted by the obj
ASSIGNMENT 14 (Section 002) Due: Friday, October 11
There are two parts to this assignment. The rst part is on WeBWorK the link is available on the course
webpage. The second part consists of the questions on this page. You are expected to provide full so
Consider the function f(x)=e^x+2x^3
On the Feb midterm
We showed using IVT, that f(x) has a root. Note f(x) is continuous and,
F(1)=e^(1)+2(1)^3 = 1/ed <0
F(0)= e^0 + 2(0)^3
=1 >0
by IVT between 1 and 0 is a root.
We could use the bisection method to
Name (print):
ID number:
Section (circle):
001
002
004
University of British Columbia
MIDTERM TEST 1 for MATH 110
Date: October 21, 2009
Time: 6:00 p.m. to 7:30 p.m.
Number of pages: 11 (including cover page)
Exam type: Closed book
Aids: No calculators or
Name (print):
ID number:
Section (circle):
001
002
003
iew
MIDTERM TEST 1 for MATH 110
Date: N/A
Time: As long as it takes.
Number of pages: 10 (including cover page)
Exam type: Closed book
Aids: No calculators or other electronic aids
Rules governing for
Math 110  Midterm Review
October 12, 2012
Disclaimer: These review questions are in no way exhaustive or authoritative regarding
the material that will be on the midterm. They are based strictly on the course goals, and
should test skills that you will l
Assignment 2.12 4th April 2014
Mathematics 110001
Instructions:
There are two parts to this assignment. The rst part is on WeBWorK. Submit answers online.
The second parts consists of questions on this page. The solutions must be typed.
A physical cop
Assignment 2.2
January 17, 2014
Timothy Wong
42713131
Questions:
1. For each of the following, construct a function that satises the given
condition. That is, sketch a graph and provide the corresponding algebraic expression.
(a) A continuous function on
Assignment 2.3
January 24, 2014
Timothy Wong
42713131
Questions:
1. (a) Suppose two sprinters racing each other nish in a tie. Explain,
using the Mean Value Theorem, why this means there must have
been a moment in the race when the two sprinters were runn
Name (print):
ID number:
Section (circle):
001
002
003
University of British Columbia
MIDTERM TEST 1 for MATH 110
Date: October 19, 2011
Time: 6:00 p.m. to 7:30 p.m.
Number of pages: 10 (including cover page)
Exam type: Closed book
Aids: No calculators or
Assignment 1.11
November 15, 2013
Timothy Wong
42713131
Questions:
1. Consider the dierential equation
dP
= rP (1 P )
dx
for a real value parameter r R.
(a) Validate that
Aerx
1 + Aerx
is a solution to the dierential equation for a real value A R.
Use the
Assignment 1.9
November 1, 2013
Timothy Wong
42713131
A
Questions (To be L TEXed):
1. Extending the power rule: In class, we showed that for any positive
integer n, we have
dn
(x ) = nxn1 .
dx
For this question, extend the rule to negative integer expone
Assignment 1.5
October 4, 2013
Name
Student #
A
Questions (to be L TEX):
1. We have a function such that
lim f (x) = 3.
x4
Justify why or why not: If x1 is closer to 4 than x2 , then f (x1 ) will be
closer to 3 than f (x2 ).
If x1 is closer to 4 than x2 t
Assignment 1.6
October 11, 2013
Timothy Wong
42713131
A
Questions (To be L TEXed):
1. Let f (x) be the function dened by:
2x + 5
x < 2
2
f (x) = 2ax + b 2 x < 5
7 + 3x
x5
Find the values of a and b that make this function continuous.
To solve for a we ha
Assignment 1.8
October 25, 2013
Timothy Wong
42713131
A
Questions (To be L TEXed):
1. Empirical studies have shown that a students selfesteem in a math
course can be modelled using the function s(t) = t(14 t) where t is t
is the time in weeks since the
Assignment 1.4
September 27, 2013
Timothy Wong
42713131
Questions:
1. Imagine you drop a stone from the top of the Ladner Clock Tower.
Sketch the position, velocity and acceleration graphs of the stone. Make
sure to label your axes and state your assumpti
Assignment 2.3 27th January 2014
Mathematics 110004
1. This was discussed in class.
2. Find the coordinates of all seven critical points on the curve
(x2 + y 2 )2 = 24(x2 y 2 ).
(You are not required to classify those critical points.)
Solution: In theor
Assignment 2.2 17th January 2014
Mathematics 110004
Instructions:
Each problem is worth 10 points.
Questions:
1. Write down a piecewise algebraic expression for a function f satisfying all of the following
criteria.
(a) f is dened on the interval [1, 1]
ASSIGNMENT 2 9 Solutions
There are two parts to this assignment. The rst part is on WeBWorK the link is available on the course
webpage. The second part consists of the questions on this page. You are expected to provide full solutions
with complete argum
ASSIGNMENT 2 10
There are two parts to this assignment. The rst part is on WeBWorK the link is available on the course
webpage. The second part consists of the questions on this page. You are expected to provide full solutions
with complete arguments and