Week 3 Homework
University of Maryland University College
FALL 2015, MATH 141
Week 3 Homework
Prof.
Minhtri Ho
Problem 1:
Rules are given for encoding a 6 letter alphabet
original letter
a b
c d
e
f
encoded letter
e
f
b
d
a
c
(a) Is the encoding rule a fu
UNIVERSITY OF MARYLAND UNIVERSITY COLLEGE ADELPHI SYLLABUS
MATH1416381CALCULUSII(2152)MATH141
Spring2015
Section6381
4Credits
01/12/2015to03/08/2015
Modified03/08/2015
FACULTYCONTACT
Lee Chiang Lee.Chiang@faculty.umuc.edu
COURSEDESCRIPTION
(A continuatio
Take-Home Quiz # 1
(Sections 4.4 4.7)
Math 141, Due 11:59PM, Sunday
Instructions: This quiz must be completed independently. You are allowed to
consult with your notes or the textbook as needed to aid you in solving these
problems. Seeking help from other
Take-Home Quiz # 3
(Sections 7.0 7.3)
Math 141/7392, Due 11:59PM, Sunday June 12, 2016
Instructions: This quiz must be completed independently. You are allowed to
consult with your notes or the textbook as needed to aid you in solving these
problems. Seek
Take-Home Quiz # 2
(Sections 5.1 5.4)
Math 141/7392, Due 11:59PM, Sunday June 5, 2016
Instructions: This quiz must be completed independently. You are allowed to
consult with your notes or the textbook as needed to aid you in solving these
problems. Seeki
Final Exam
University of Maryland University College
FALL 2015, MATH 141
Final Exam
Prof.
Minhtri Ho
Problem 1:
d
dx
9
(3t2 + 2) dt
x
Problem 2:
Find the antiderivative
x+3
dx
x
FALL 2015 - MATH 141 - Calculus II
Final Exam
Problem 3:
Find the surface are
Week 4 Homework
University of Maryland University College
FALL 2015, MATH 141
Week 4 Homework
Prof.
Minhtri Ho
Problem 1:
Use the denition of an improper integral to evaluate the integral below:
3
1
dx
x+2
Problem 2:
Determine whether the improper integra
Week 2 Homework
University of Maryland University College
FALL 2015, MATH 141
Week 2 Homework
Prof.
Minhtri Ho
Problem 1:
Determine the volume of a sphere of radius r. (A sphere is swept out when the region
bounded by the xaxis and the top half of the cir
Week 1 Homework
University of Maryland University College
FALL 2015, MATH 141
Week 1 Homework
Prof.
Minhtri Ho
Problem 1:
Police chase: A speeder traveling 45 miles per hour (in a 25 mph zone) passes a stopped
police car which immediately takes o after th
Midterm Exam
University of Maryland University College
FALL 2015, MATH 141
Midterm Exam
Prof.
Minhtri Ho
Problem 1:
(a) Suppose we divide the interval [1, 4] into 100 equally wide subintervals and calculate
a Riemann sum for f (x) = 1 + x2 by randomly sel
Week 5 Homework
University of Maryland University College
FALL 2015, MATH 141
Week 5 Homework
Prof.
Minhtri Ho
Problem 1:
Decompose the fraction
3x3 + 3x2
x2 + x 2
Problem 2:
Evaluate the integral
7x2 4x + 4
dx
x3 + 1
Problem 3:
Evaluate the integral
25 x
Week 6 Homework
University of Maryland University College
FALL 2015, MATH 141
Week 6 Homework
Prof.
Minhtri Ho
Problem 1:
State whether the sequence below converges or diverges. If it converges, nd its limit:
ln(n)
n
Problem 2:
Rewrite the sum using sigma
Week 7 Homework
University of Maryland University College
FALL 2015, MATH 141
Week 7 Homework
Prof.
Minhtri Ho
Problem 1:
(a) Calculate s4 for the serie given below and determine an upper bound for how fars4 is
from the exact value S of the innite series.
Quiz # 2
(Sections 5.1 5.4)
Instructions: This quiz must be completed independently. You are allowed to
consult with your notes or the textbook as needed to aid you in solving these
problems. Seeking help from others in or out of the class is not allowed.
Quiz # 2
(Sections 5.1 5.4)
Instructions: This quiz must be completed independently. You are allowed to consult
with your notes or the textbook as needed to aid you in solving these problems.
Seeking help from others in or out of the class is not allowed.
Take-Home Quiz # 3
(Sections 7.0 7.3)
Math 141
Instructions: This quiz must be completed independently. You are allowed to
consult with your notes or the eBook as needed to aid you in solving these
problems. Seeking help from others in or out of the class
Take-Home Quiz # 3
(Sections 7.0 7.3)
Math 141
Instructions: This quiz must be completed independently. You are allowed to consult
with your notes or the eBook as needed to aid you in solving these problems.
Seeking help from others in or out of the class
Take-Home Quiz # 4
(Sections 8.1 8.3)
Math 141
Instructions: This quiz must be completed independently. You are allowed to
consult with your notes or the eBook as needed to aid you in solving these
problems. Seeking help from others in or out of the class
Take-Home Quiz # 4
(Sections 8.1 8.3)
Math 141
Instructions: This quiz must be completed independently. You are allowed to consult
with your notes or the eBook as needed to aid you in solving these problems.
Seeking help from others in or out of the class
Take-Home Quiz # 5
(Sections 8.4 8.6)
Math 141
Instructions: This quiz must be completed independently. You are allowed to
consult with your notes or the eBook as needed to aid you in solving these
problems. Seeking help from others in or out of the class
Take-Home Quiz # 5
(Sections 8.4 8.6)
Math 141
Instructions: This quiz must be completed independently. You are allowed to consult
with your notes or the eBook as needed to aid you in solving these problems.
Seeking help from others in or out of the class
Take-Home Quiz # 6
(Sections 10.1 10.5)
Math 141
Instructions: This quiz must be completed independently. You are allowed to
consult with your notes or the eBook as needed to aid you in solving these
problems. Seeking help from others in or out of the cla
Take-Home Quiz # 6
(Sections 10.1 10.5)
Math 141
Instructions: This quiz must be completed independently. You are allowed to consult
with your notes or the eBook as needed to aid you in solving these problems.
Seeking help from others in or out of the cla
Quiz # 7
(Sections 10.6 10.11)
Math 141
Instructions: This quiz must be completed independently. You are allowed to
consult with your notes or the eBook as needed to aid you in solving these
problems. Seeking help from others in or out of the class is not
Quiz # 7
(Sections 10.6 10.11)
Math 141
Instructions: This quiz must be completed independently. You are allowed to consult
with your notes or the eBook as needed to aid you in solving these problems.
Seeking help from others in or out of the class is not
QUIZ # 3 Problems
3
1. Show that the function f ( x )=e x +2 x+1 is one-to-one. Graphing does not count as
proof. (Hint: Use the derivative of the function.)
3 +2 x+ 1
y =( 3 x + 2 ) ( e
'
y=e x
2
x
3+2 x+ 1
)
3+ 2x+ 1
'
We see that 3 x 2 +1is always posi