Math 311 Practice Exam 5
Sit two apart during the exam. In case of a bomb threat, the exam will be help on the steps of Hamilton Library, or, if its raining, in front of Kennedy theatre.
Write this in standard form. Write the new variables x1, y1 in terms
Math 311
Practice Exam 2 /50
Sit two apart during the exam. No caculators. Bring scratch paper. In case of a bomb threat, the exam will be held on the steps of Hamilton Library, or, if it's raining, in front of Kennedy Theatre.
. Find a basis for the null
Math 311 Practice Exam 3 /50
Sit two apart during the exam. In case of a bomb threat, the exam will be help on the steps of Hamilton Library, or, if it's raining, in front of Kennedy theatre.
. W is the subspace of R4 spanned by cfw_[1,1,2,2]T, [2,2,1,1]T
Math 311 Practice Exam 4 /50
Sit two apart during the exam. In case of a bomb threat, the exam will be help on the steps of Hamilton Library, or, if its raining, in front of Kennedy theatre.
6(3). Find the area of the triangle with vertices (0,0), (2,-1),
Math 311
Final: Fri. Dec. 15, 9:45-11:45. Office hours: 10:30-12:30, Wed. Thurs.
Review 5
where O1, O2, ., On are the eigenvalues of the matrix for g(X) and Y = P-1X = PTX. PRINCIPAL AXES THEOREM II. For any quadratic form g(X), g(X) is equivalent, via so
Math 311 Review Exam 4
Office hours: Thursday 10:30 - 12:30. Graded homework is placed in the bin on my office door (PSB 318) and may be picked up after 1:30. Material Lectures: 25-32. Book: pages 151-163, 281-364. No questions about permutations. Definit
Math 311
Review 2
Exam office hours: Tuesday, 10:30-12:30. Graded homework is placed in the bin on my office door (PSB 318) and may be picked up after 2:00. No calculators for this or subsequent exams. Material Lectures: 9-16. Book: pages 96-151, 156-164.
Math 311
Practice Exam 1 /50
13(2). Find all solutions for the system.
x-z=3 2y = 2 x + 2y = 1
Sit two apart during the exam. Bring a calculator and scratch paper. In case of a bomb threat, the exam will be held on the steps of Hamilton Library, or, if it
LEMMA. Every elementary row operation is invertible. LEMMA. For any e, E = e(I) is an invertible matrix and Exam office hours: Tuesday, 10:30-12:30. e(A) = EA for any A. And any product of elementary row Graded homework is placed in the bin on my office d
Math 311
Review 3
Exam office hours: Tuesday, 10:30-12:30. Graded homework is placed in the bin on my office door (PSB 318) and may be picked up after 1:30. Material Lectures: 17-24. Book: pages 182-280. No calculators. Definitions uv, the dot product. Th
Math 373
Hw 28 Recommended problems, don't turn this in.
Hw 463: 11.40, 11.42 Rec 463: 11.39, 11.41, 11.43.
Page 463.
11.40'. We have a 32 experiment. Factor A has 2 levels,
cfw_1, 2, factor B has 3 levels cfw_1, 2, 3. There are 3
observations per treatme
Math 373
Hw 27 Recommended problems, dont turn this in.
Hw 453: 11.29', 11.31'. Rec 453: 11.29, 11.31.
(d)(2) Find the 95% confidence interval for the difference Page 453. in means for treatments A and B. 11.29(14). There are three blocks 1, 2, 3 and four
Math 373
Hw 26 Recommended problems, don't turn this in.
Hw 438: 11.7,8. Rec: 438: 11.1 - 11.6.
Page 438. 11.3. You have 6 treatment populations based on independent random samples (hence they have a commen std. dev.). Each has 10 observations. Suppose to
Math 373
Hw 24 Recommended problems, don't turn this in.
Rec 390: 10.29. 10.35. 400: 10.45. 10.49.
Hw 390: 10.29', 10.32. 400: 10.44, 10.46
Page 390. Interval checksums are to 2 decimal places. 10.29(4). A paired difference test with 10 difference pairs h
Math 373
Hw 25 Recommended problems, don't turn this in.
Hw 400: 10.44. 407: 10:54, 10:56. Rec 407: 10.55', 10.57, 10.58.
Page 400. 10.55'. Independent random samples from two normal populations have the following sizes and sample variances. You wish to f
Math 373
Hw 23 Recommended problems, don't turn this in.
Rec 383: 10.19, 10.25. 390: 10.29, 10.31, 10.33.
Hw 383: 10.16, 10.18, 10.22. 390: 10:29-31.
Page 383. 10.19. Independent random samples of n1= 16 and n2= 13 are selected from two normal populations
Math 373
Hw 14 Recommended problems, don't turn this in.
Hw 292: 8.22, 8.24. 298: 8.36, 8.40.
Page 392.
8.21 Find the 90% confidence interval for the population
mean .
(a) n = 125, x = .84, s2 = .086
Rec 292: 8.21, 8.23. 298: 8.35, 8.41.
8.41 To compare t
Math 373
Hw 17 and 18 Recommended problems, don't turn this in.
Hw 335: 9.2abc, 9.4abcd, 9.8, 9.10'. Rec 335: 9.1, 9.7, 9.9, 9.11.
Page 335. 9.1 Find the appropriate acceptance and rejection regions for the large-sample test statistic z in each case. (a)
Math 373
Hw 16 Recommended problems, don't turn this in.
Hw 308: 8.56, 8.58, 8.60b, 8.62. 8.64. Rec 308: 8.55, 8.57, 8.61, 8.63.
Page 308. Let E = the maximum allowed error.
Write both the answer n and the unsimplified equation for n. For example, if the
Math 373
Hw 15 Recommended problems, don't turn this in.
Rec. 302: 8.45, 8.47, 8.51. 308: 8.53.
Hw 302: 8.44, 8.46, 8.50. 308: 8.54.
Page 302. 8.45 Independent samples of n 1 = 800 and n 2 = 640 observations are selected from binomial populations 1 and 2
Math 373
Hw 19 Recommended problems, don't turn this in.
Hw 336: 9.4, 9.11. Rec 336: 9.1, 9.7, 9.9, 9.11.
Page 335. Acceptance intervals are repeated from the recommended exercises for Hw 17. 9.7 A random sample of 100 observations from a quantitative pop
Math 373
Hw 20 Recommended problems, don't turn this in.
Rec 340: 9.15, 9.17, 9.19. 346: 9.25, 9.27, 9.29.
Hw 340: 9.14, 9.18. 346: 9.24, 9.28.
Page 340. 9.15. Random samples of 36 and 45 observations are drawn from populations 1 and 2.
Sample 1 Sample si
Math 140
Hw 26 Recommended problems, don't turn this in.
(a) Give the unsimplified exact answer obtained using the
law of sines or cosines or Straight V Thm. E.g.
a 8 2 5 2 285 cos20 0 or b
5 sin100 o
sin50 o .
An unsimplified exact answer for an angle mi
Math 140
Hw 27 Recommended problems, don't turn this in.
E. 4, /6
C
b
A
a
B
c
A(a). sinB = 1/ 2 ,
What are the possible values, in degrees, for VB?
(b). cosB = 1/ 2 ,
What is the possible value, in degrees, for VB?
(c). sin A 1/4
What is the possible valu
Math 140
Hw 23 Recommended problems, don't turn this in.
Write each expression as a sum or difference of
trigonometric functions. Don't calculate the answer.
L. 2 cos 2 cos 0
A. sin 20 cos 10
B. cos
5
C. sin
2
7
D. sin
7
12
cos
4
5
sin 5
7
cos
12
M. cos 2
Math 140
Hw 20 Recommended problems, don't turn this in.
(1) Graph over one period (period doesn't have to start at 0).
(2) List the x-intercepts. (3) List both coordinates of the
highest and lowest points.
A. y sin3x First rewrite in the form Asin(B(x-C)
Math 140
Hw 22 Recommended problems, don't turn this in.
Evaluate the expressions.
A. sin
3
4
2
Picture for D and E.
.
5
b
First find cos q. The quadrant determines the sign.
q
4
D. (a) sin 2 (b) cos 2
(c) tan 2
(a) sin 2
E. (a) sin/2 (b) cos/2 (c) tan/
Math 140
Hw 21 Recommended problems, don't turn this in.
(1) Simplify using an addition formula (show the step
immediately after the addition formula). First point.
(2) Complete the simplification.
Second point.
Examples:
`sinx cosy x cosx siny x
sinx y
Math 140
Hw 24 Recommended problems, dont turn this in.
Evaluate exactly without a calculator: p and 2 rather than
3.14 or 1.41. Answer may be undef.
L. sintan 1 1
5 symbol fraction with square root
A. sin 1 3 /2
1
B. tan
3
M. cossin 1 2
3
4 symbol fract
Math 140
Hw 25 Recommended problems, dont turn this in.
2sina has 5 symbols, 2sin(a) has 7 symbols.
A. When earth E, Mercury M, and the sun S are lined up
so that VEMS is a right angle, VSEM is 21o. Given that
the distance ES from the earth to the sun is