Chapter 1
Systems of Linear Equations and Matrices
Section 1.1
Exercise Set 1.1
1. (a), (c), and (f) are linear equations in x1 , x2 , and x3 .
(b) is not linear because of the term x1 x3 .
(d) is not linear because of the term x 2 .
3
(e) is not linear b
Adenine, guanine, cytosine, and thymine are
the four nucleobases found in DNA. A and G
are known as the purine bases, and C and T
are known as the pyrimidine bases
Purine bases always pair together with
pyrimidine bases. Normally, A pairs with T, and
G pa
Calculus 1301
Section 006
Quiz 6
Name
(Mon. Feb. 14, 2014)
Student #
This quiz has two sides, 3 problems on this side, 3 and 1 bonus on the
other.
1. Find and simplify the specied term of each sequence:
(a) Compute a3 from an =
(2 points)
n2 +3
.
2n 1
(b)
Calculus 1301
Section 006
Quiz 5
Name
(Mon. Feb. 10, 2014)
Student #
This quiz has two sides, one problem on each.
1
x
1. If 0 x1 dx is convergent, compute its value. If it is divergent, demonstrate
that this is so.
(4 points)
2. Determine whether
(6 poin
Calculus 1301
Section 006
Quiz 3
Name
(Fri, Jan. 24, 2014)
Student #
This quiz has two sides, one problem on each.
1. Determine the general antiderivative
dt
t2 9
(4 points)
2. Evaluate
1 3x2 +x1
0 x3 +x2
(6 points)
Calculus 1301
Section 006
Quiz 4
Name
(Fri, Jan. 31, 2014)
Student #
This quiz has two sides, one problem on each.
1. Find the antiderivative
x1/3
dx
x2/3 +1
(5 points)
2. Compute the integral
2
0
x tan1 (x 1)dx and simplify.
(5 points)
Calculus 1301
Section 006
Quiz 2
Name
(Fri, Jan. 17, 2014)
Student #
This quiz has two sides, one problem on each.
1. Find
ex x2 dx
(5 points)
2. Compute
/4
0
tan3 d
(5 points)
Calculus 1301
Section 006
Quiz 1
Name
(Fri, Jan. 10, 2014)
Student #
This quiz has two sides and a total of 3 problems.
1. Let f (x) = 2 cos x ln(x3 ). Find an exact, simplied value for f ().
(3 points)
2. Find a formula for the general antiderivative
(2
Math 263 Assignment 9 - Solutions
1. Find the ux of F = (x2 + y 2 )k through the disk of radius 3 centred at the origin in the xy
plane and oriented upward.
Solution The unit normal vector to the surface is n = k. The ux is thus given by:
F .dS =
x2 + y 2
Math 209
Assignment 8 Solutions
1. Use Greens Theorem to evaluate the line integral along the given positively oriented curve.
(a) C (y + e x )dx + (2x + cos y 2 )dy, C is the boundary of the region enclosed by the
parabolas y = x2 and x = y 2 .
Solution:
Homework - Section 16.8
MATH2263 - Summer 2010
1. 16.8 #9: Use Stokes Theorem to evaluate
C
F dr, where
F(x, y, z) = yz i + 2xz j + exy k
and C is the circle x2 + y 2 = 16, z = 5, oriented counterclockwise as seen from above.
Ans: The curve C is the bound
THE UNIVERSITY OF WESTERN ONTARIO
Department of Applied Mathematics
Name:
Student Number:
CALCULUS 2503b Midterm Examination
Thursday, Feb,16, 2012
Time: 5:45pm - 7:45pm
There are 7 questions; each question is worth 14 points.
Plus you get two points (o
Winter 2012
Math 255
Problem Set 11
Solutions
1) Dierentiate the two quantities with respect to time, use the chain
rule and then the rigid body equations.
17.6.18 Find a parametric representation for the surface which is the lower
half of the ellipsoid 2
THE UNIVERSITY OF WESTERN ONTARIO
Department of Applied Mathematics
Last Name:
First Name:
Student Number:
CALCULUS 2503b Make-Up Midterm Examination
Thursday, Feb,18, 2011
Time: 1:00pm - 4:00pm
There are 10 questions; each question is worth 10 points.