[ph 2-] as a function of Time
0
0
0
[ph 2-] (M)
0
0
0
21.0
36.0
54.0
72.0
90.0
108.0
Time (s)
126.0
144.0
162.0
180.0
Run 6 (fast run)
ln[ph 2-] as a function of Time
-9.5
21.0
36.0
54.0
72.0
90.0
108
COURSE OUTLINE
Winter 2017
Date
Initials
Prepared by Instructor
Approved by Head
1. Calendar Information
ENGG 202 Engineering Statics
Force vectors; equilibrium of a particle in two and three dimensio
Problem
Score
1
2
Name:
3
SID:
4
Section:
5
Instructor:
6
7
8
9
10
11
12
Total
MATH 230 FALL 2004
FINAL EXAM
DECEMBER 13, 2004 12:20-2:10 PM
INSTRUCTIONS
There are 12 problems on this exam for a tota
EXAM I, FALL 2010SOLUTIONS
Problem 1. (10 points)
Vectors u and v have length 1. Which of the assumptions (a)(g) below
imply that vectors u and v are
(i)
perpendicular
(ii)
parallel and pointing in th
Final Exam
Calculus III
8 May, 2009
Name:
Student ID Number:
Instructor:
Section:
The use of a calculator, cell phone, or any other electronic device is not permitted for
this examination.
The use of
Exam 2, Fall 2010Solutions
Problem 1. (10 points)
Let f (x, y ) = 2e2xy + 2.
(a) (4 pts) Find the linearization of the function f at the point (5, 10).
Solution: The linearization L(x, y ) of f (x, y
Answers to Sample A
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
2.
3.
4.
5.
6.
7.
Absolute minimum 0 at (0, 0). Absolute maximum 8 at (0, 2) and (0, 2).
R
R
(1, 2) = 8,
(1, 2) = 2.
u
v
(a) f is increasing fastest
Midterm Exam I, Calculus III, Sample A
1. (10 points) Show that the 4 points P1 = (0, 0, 0), P2 = (2, 3, 0), P3 = (1, 1, 1), P4 = (1, 4, 1) are coplanar (they lie on the same plane), and nd the equati
Midterm Exam I, Calculus III, Sample A
1. (10 points) Show that the 4 points P1 = (0, 0, 0), P2 = (2, 3, 0), P3 = (1, 1, 1), P4 = (1, 4, 1) are coplanar (they lie on the same plane), and nd the equati