Solutions to Assignment 8
Math 217, Fall 2002
4.6.26 If A is 6 4, what is the smallest possible dimension of Nul(A)? Well, we know that rank(A)+dim(Nul(A) = 4. It is possible that rank(A) = 4, that is
Math 217
Problem Set No. 7
Winter 2015
The assignment is due Friday, November 6th, 2015, by 1:00pm in the drop box 4slots 9(A-M) and 10 (N-Z).
Late submissions will not be accepted.
1. Use the first
Notice we can show that the vector filed is
conservative which implies that the line
integral along the closed curve is zero. I wrote this solution for practice.
Notice we can show that the vector fil
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Part IIB. Maxima and Minima
1. Relative Maxima and Minima (12.10)
Figure 1- Relative minimum, relative maximum, and inflection point of a single variable function
Figure 1 shows critical points of a s
MOMENTUM EQUATION IN RECTANGULAR COORDINATES
avx avx 6vx avx
+, y I
at 6x 6y ()2
x-component: p<
Com onent av + V aVy + V aVy + avy
I x ' V _
y P P at ax y (9)} az
6P 6 a a
= - - + 1x
Part II. Multivariable Functions and
Differential Calculus
Multivariable functions (12.1)
A function which has more than one independent variable is a multivariable function. A variable
is said to be
MATH 217 PROJECT 1: EXTREMES OF FUNCTIONS
Due Date: Thursday, March 1, 2012
Part I:
Functions representing terrains are usually very complex but can provide important
information such as the volume of
Part IV Vector calculus
Vector fields
A vector field is a vector, which is a function of position as well as possibly other variables, as
opposed to the position vector
( )
( ( ) ( ) ( ) ,
(1)
which i
Math 217
Problem Set No. 8
Winter 2015
The assignment is due Friday, November 13th, 2015, by 1:00pm in the drop box
4-slots 9(A-M) and 10 (N-Z).
Late submissions will not be accepted.
1. Evaluate the
Math 217
Problem Set No. 9
Winter 2015
The assignment is due Friday, November 20th, 2015, by 1:00pm in the drop box
4-slots 9(A-M) and 10 (N-Z).
Late submissions will not be accepted.
1. Evaluate
RR
MATH 2100ALGEBRA II
Fall 2013 and Winter 2014
Instructor: Paul Mezo
4217 HP
Tel: 520-2600 ext. 2156
e-mail: [email protected]
Prerequisites: MATH 1102 with a grade of C+ or higher, or MATH 2107 wi
Math 217
Problem Set No.5
Winter 2015
The assignment is due Friday, October 23th, 2015, by 1:00pm in the drop box 4-slots
9(A-M) and 10 (N-Z).
Late submissions will not be accepted.
1. Assume that th
Math 217
Problem Set No. 1
Fall 2015
The assignment is due Friday, September 25th, 2015 in the drop box 4-slots 9(A-M)
and 10 (N-Z).
Your assignment solutions should be legible, detailed and well-orga
Math 217
Problem Set No. 4
Winter 2015
The assignment is due Friday, October 16th, 2015, by 1:00pm in the drop box 4-slots
9(A-M) and 10 (N-Z).
Late submissions will not be accepted.
1. (a) Find fx ,
Math 217
Problem Set No. 2
Fall 2015
The assignment is due Friday, October 2nd, 2015 in the drop box 4-slots 9(A-M) and
10 (N-Z).
Your assignment solutions should be legible, detailed and well-organiz
Math 217
Problem Set No. 3
Winter 2015
The assignment is due Friday, October 9th, 2015, by 1:00pm in the
drop box 4-slots 9(A-M) and 10 (N-Z).
Your assignment solutions should be legible, detailed and
Math 217
Problem Set No. 10
Winter 2015
The assignment is due Friday, November 27th, 2015, by 1:00pm in the drop box
4-slots 9(A-M) and 10 (N-Z).
Late submissions will not be accepted.
p
1. (a) Find
Math 217
Problem Set No. 6
Winter 2015
The assignment is due Friday, October 30th, 2015, by 1:00pm in the drop box 4-slots
9(A-M) and 10 (N-Z).
Late submissions will not be accepted.
This assignment
Math 217
Problem Set No. 11
Winter 2015
The assignment is due Friday, December 4th, 2015, by 1:00pm in the drop box 4slots 9(A-M) and 10 (N-Z).
Late submissions will not be accepted.
1. Find the work
Microscopic Momentum Balance
Viscous stresses vs total stresses
Newtons second law for this control volume:
Sum of Forces
Rate of
Rate of
Rate of
Momentum = Momentum Momentum + Acting on
Sys