Assignment 1: Double Integrals: Solutions
1. (a) With n = 4 and m = 2, the eight lower-left points are
(0, 0), (1/2, 0), (1, 0), (3/2, 0), (0, 1), (1/2, 1), (1, 1), (3/2, 1)
Since each box has area (1
Nian Qing Lu
Assignment Homework1 due 01/14/2016 at 11:59pm AST
Math2002
1
4.
1. (1 point) Evaluate the triple integral
1
2
xyz dV
5.
E
where E is the solid: 0 z 6, 0 y z, 0 x y.
1x2
1x2 y2 +1
1x2
1x
Math 2002
Winter 2016
Midterm 1
February 8th , 2016
Time Limit: 50 Minutes
Name (Print):
B00
This exam contains 9 pages (including this cover page) and 6 problems.
You may not use your books, notes, o
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Once again, we use the hard drives idea to practice on the hypothesis testing.
a) First, assume that the company claims the transfer rate of hard drives it manufactures to be at Vt : 3 a
least 60 MB/s
1) Suppose that the daily noon-time average temperature, in degrees Celsius, for February 1 in
Yarmouth, has the following probability mass function (obtained by rounding to the nearest
whole degree a
timer 2" goo/6
l) The lifetime of a drill bit used in a certain manufacturing process is exponentially distributed
with mean 6 months.
a) What is the probability that a drill bit will last less than
1) The performance of a molding machine producing clear plastic car headlight covers is analyzed.
Suppose that, on average, every 10th cover has some sort of defect and must be recycled by
the machine
ENGM2032 Applied Probability and Statistics
2016
Sample Midterm Questions
INSTRUCTIONS:
1) Clearly define all events used in question. Show all of your work. No credit will be given
for correct answer
ENGM2032, Applied Probability and Statistics
Assignment #9: Answers to Some Questions
Contact [email protected] if you find any errors with these answers.
2) Yes
3) Yes
4) a) Yes
b) ' 0.0075
5) No
Engm 1041, Applied Linear Algebra
Assignment 8
Due Date: March 14, 2016 11:35am
You must use this page as the coverpage of your submission
Name:
ID:
Circle your Tutorial Section
Tutorial Location
Thur
Math 2002
Winter 2017
Written Assignment 1
Due Monday, February 6rd , 2017
Name (Print):
BOO
1. (a) (3 points) Graph the solid bounded by the parabolic cylinder z = 4 y 2 and the planes
x + 2z = 1, x
DALHOUSIE UNIVERSITY
Math2002 Course Notes
by
Marie-Andree B.Langlois
DEPARTMENT OF MATHEMATICS AND STATISTICS
HALIFAX, NS
January-April, 2016
c Marie-Andree B.Langlois 2016
Table of Contents
Table of
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Assignment 2: Triple Integrals: Solutions
1. (a) By Fubinis theorem, we can evaluate the integral in any order we
want. Integrating z rst, then y, then x:
3
2
0
2
1
0
2
1
0
x + 2y + 4z dz dy dx
1
=
1
Assignment 5: Dierential Equations: Solutions
1. (a) The auxiliary equation is x2 2x + 4 = 0. Using quadratic
the
formula, one can nd that the roots are x = 1 i 3. Thus the
general solution is
y = ex
Some review questions
1. Evaluate D ex+y dA where D is a region bounded by lines x = 0, y = 0 and y + x = 1.
(answer: 1).
2. Evaluate
(x2 + y 2 + z 2 ) dV where D is a region bounded by the cylinders