APEX
C
Version 2.0
Authors
Gregory Hartman, Ph.D.
Department of Applied Mathema cs
Virginia Military Ins tute
Brian Heinold, Ph.D.
Department of Mathema cs and Computer Science
Mount Saint Marys Unive
Calculus II (Math 141), UMass Boston
Homework on Lecture 7
Quiz time/date will be announced in class
1.
Find a linearsubstitution (via completing the square) to transform the radical to a multiple of
Tuesday, November 3, 2015
8:09 PM
Calculus2Session1 Page 1
Calculus2Session1 Page 2
can you explain how : 3x5 became
right after integral of 3x+61?
Calculus2Session1 Page 3
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MATH 141 Sample Final anm
Show all work, ' MATH l 41 CALCULUS u . No books,
aplain each step. SAMPLE FINAL EXAMINATION no notes.
Part A. Do all four of the problems.
1. Find the ﬁrst derivative
THE FIRST HOUR EXAM WILL BE HELD ON MONDAY, OCTOBER 5, IN LIPKE AUDITORIUM. IT will
cover material in Assignments 14; most of the questions will resemble homework
questions. There will be a REVIEW fo
HOUR EXAM
PHYSICS 113
1
lf you want your exam returned privatelv, check
201 5
here:
!
There are two pages of questions, and formulas on page 2. Show_your calculations and substltutions,.and express yo
1Pointers for Hour Exam 2
One way to measure the normal force is with a device found in bathrooms,
and used by weightwatchers. This can be imagined as massless and lying
between the object and the su
Calculus II (Math 141), UMass Boston
Homework on Lecture 21
Quiz time/date will be announced in class
1. Plot the number z on the complex plane (you may use one drawing only for all the numbers). Find
Calculus II (Math 141), UMass Boston
Homework on Lecture 11
Quiz time/date will be announced in class
x
1. Match the graphs of the parametric equations x = f (t), y = g(t) with the graph of the param
Calculus II (Math 141), UMass Boston
Homework on Lecture 8
Quiz time/date will be announced in class
1. Compute the limits. The answer key has not been fully proofread, use with caution.
(a) lim
sin x
Calculus II (Math 141), UMass Boston
Homework on Lecture 13
Quiz time/date will be announced in class
1. Give a geometric definition of the cycloid curve using a circle of radius 1. Using that definit
Calculus II (Math 141), UMass Boston
Homework Prerequisite Exponential Function Topics
Quiz time/date will be announced in class
1. Differentiate.
x
(d) xx .
x
x
x
answer: (ln(x)2 xx +x + xx +x1 + (ln
Calculus II (Math 141), UMass Boston
Homework on Lecture 3
Quiz time/date will be announced in class
1. Evaluate the indefinite integral. Illustrate the steps of your solutions.
Z
Z
(f)
x2 e2x dx.
(a)
Calculus II (Math 141), UMass Boston
Homework on Lecture 6
Quiz time/date will be announced in class
1. Integrate.
Z
1
dx.
(a)
3 + cos x
3 tan x + 1
1
2
+C
answer: arctan
2
2 2
5
ln (sin x + 2 cos
Calculus II (Math 141), UMass Boston
Homework on Lecture 12
Quiz time/date will be announced in class
1. Find the values of the parameter t for which the curve has horizontal and vertical tangents.
(a
Calculus II (Math 141), UMass Boston
Homework on Lecture 19
Quiz time/date will be announced in class
1. Determine the interval of convergence for the following power series.
(a)
X
(x 2)n
.
3 n+1
n=1
Calculus II (Math 141), UMass Boston
Homework on Lecture 1
Quiz time/date will be announced in class
1. Let x (0, 1). Express the following using x and
1 x2 .
(e) sin(2 arccos(x).
q
answer: 2x 1 x2
(a
NANYANG
TECHNOLOGICAL
UNIVERSITY
SEMESTERI EXAMINATION 2OTO201T
MAS zLL  Calculus III
December2010
MAS 211
TIME ALLOWED: 2 hours.
Solutions
Question 1
(20 Marks)
Determine whether the following seri
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PHYSICS
113
7
October 5  9, 2015
ASSIGNMENT 5
READING: Chapter 12, Sec 1; Chapter4, Secs. 7,8; Chapter 5, Sec. 1
HOMEWORK
in the diagonal cord 8S F,
cord and the weight and mass of the suspe
Calculus II (Math 141), UMass Boston
Homework on Lecture 12
Quiz time/date will be announced in class
1. Find the values of the parameter t for which the curve has horizontal and vertical tangents.
(a
Calculus II (Math 141), UMass Boston
Homework on Lecture 13
Quiz time/date will be announced in class
1. Give a geometric definition of the cycloid curve using a circle of radius 1. Using that definit
Calculus II (Math 141), UMass Boston
Homework on Lecture 12
Quiz time/date will be announced in class
1. Find the values of the parameter t for which the curve has horizontal and vertical tangents.
(a