MATH 138
Calculus II
Fall 2015
Course objectives. The goal of this course is to further expand your knowledge of calculus and its
applications for onevariable functions. The course can broadly be spl
Math 138: Assignment 5 Solutions
due Friday, October 17, 2014 at 4:00pm
1. Consider the Logistic model for population growth:
dy
y
= ry 1
dt
K
where y(t) represents a population at time t, r represen
Math 138: Assignment 8
due Friday, July 10, 2015 at 12:00 pm
1. Use the ratio test to determine whether the following series converge or diverge.
(a)
n=1
(2n)!
(n!)2
lim
n
Thus, by the ratio test
n=1
Notes:
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MATH 138
Assignment 1
Due by: 11 a.m., Friday, January 15.
Place your assignment in the correct drop box. If your assignment falls into the wrong box, there is a very good chance it will get lost. Pri
MATH 138
Assignment 2
Due by: 11 a.m., Friday, January 22.
Place your assignment in the correct drop box. If your assignment falls into the wrong box, there is a very good chance it will get lost. Pri
MATH 138
Assignment 4
Due by: 11 a.m., Friday, February 5
Place your assignment in the correct drop box. If your assignment falls into the wrong box, there is a very good chance it will become lost. P
Math 138: Assignment 6
due Friday, June 26, 2015 at 12:00 pm
n
1
1000
1
, then
.
<
9
3n + 1 3
1000
n
1
1
(b) Given > 0, if n > , show that
< .
9
3n + 1 3
(c) What did we prove in part b)?
1. (a) Show
MATH 138
Assignment 6
Due by: 11 a.m., Friday, February 26
Place your assignment in the correct drop box. If your assignment falls into the wrong box, there is a good chance it will become lost. Print
MATH 138
Assignment 3
Due by: 11 a.m., Friday, January 29.
Place your assignment in the correct drop box. If your assignment falls into the wrong box, there is a very good chance it will get lost. Pri
MATH 138
Assignment 5
Due by: 11 a.m., Friday, February 12
Place your assignment in the correct drop box. If your assignment falls into the wrong box, there is a very good chance it will become lost.
MATH 138
Assignment 7
Due by: 11 a.m., Friday, March 5
Place your assignment in the correct drop box. If your assignment falls into the wrong box, there is a good chance it will become lost. Print you
MATH 138
Assignment 10
Due by: 11 a.m., MONDAY, March 29
Place your assignment in the correct drop box. If your assignment falls into the wrong box, there is a good chance it will become lost. Print y
MATH 138
Assignment 9
Due by: 11 a.m., Friday, March 19
Place your assignment in the correct drop box. If your assignment falls into the wrong box, there is a good chance it will become lost. Print yo
MATH 138
Assignment 8
Due by: 11 a.m., Friday, March 12
Place your assignment in the correct drop box. If your assignment falls into the wrong box, there is a good chance it will become lost. Print yo
Last name (Print):
First name (Print):
UW Student ID Number:
Your course section number (see below):
University of Waterloo
Final Examination
Math 138
(Calculus II )
Instructor: See table below
Sectio
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MATH 138 Winter 2013
Assignment 1
Topics: Integration review, integration by substitution and by parts.
Due: 11 a.m. Friday, January 18.
Instructions:
Print your name and I.D. number at the top of th
MATH 138 Winter 2013
Assignment 5
Topics: Linear differential equations, applications.
Due: 11 a.m. Friday, February 15.
Instructions:
Print your name and I.D. number at the top of the rst page of yo
MATH 138 Winter 2013
Assignment 4
Topics: Improper integrals, direction elds and separable differential equations.
Due: 11 a.m. Friday, February 8.
Instructions:
Print your name and I.D. number at th
MATH 138 Winter 2013
Assignment 3
Topics: Volumes of solids, improper integrals.
Due: 11 a.m. Friday, February 1.
Instructions:
Print your name and I.D. number at the top of the rst page of your solu
MATH 138 Winter 2013
Assignment 2
Topics: Trigonometric integrals, trigonometric substitution, integration of rational
functions.
Due: 11 a.m. Friday, January 25.
Instructions:
Print your name and I.
nec1aSS find more resources at www.0neclass.com
Math127 Calculus I Notes 1.3 page 3
ex#4 From the following values off (t), does f appear to be increasing or decreasing? Do you think its
graph is conc
CneClass find more resources at wwwfzeeivasscom
Math127 Calculus I Linear Functions Notes 1.2
Denitions
When on need to nd.
Find the slope between (2 6) and (I )
m
Given two points 4' Z] '
(x1 y1)an
nec1aSS find more resources at www.0necleysgc'bm
Math127 Calculus I Rates of Change Notes 1.3
Average rate of change
(between t = a and t = b)
Average velocity
(between t = a and! = b)
8. Position

Math 138: Assignment 7
1. (a) Use the definition of the limit of a sequence to prove that the sequence cfw_en has
limit L = 0.
Using the definition of the limit or a sequence: Given > 0, find K such
2017 Math 138: Assignment 5 Solutions
1. Find the value of p for which the integral converges and evaluate the integral for those
values of p.
Z
e
Substitute u = ln x, so du =
This integral converges