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
Math 140
Hw 16
For each angle, sketch the reference angle, draw an
arrow to indicate the angle's direction. A reference
angle must be positive and < /2 = 90o.
A. (a) 110o
(b) 60o
Recommended problems.
sin cos
F. Simplify cos sin .
G. Factor tan 2 + 8 tan
Math 140
Hw 17
Recommended problems, don't turn this in.
Simplify.
sin 2 Acos 2 A
A. sin Acos A
q
Hint: factor the top.
3
B. sin 2 cos csc 3 sec
4x
b
C. cot B sin 2 B cot B
D.
3
2x
cos 2 Acos A12
N. Find sin q, cos q, tan q.
cos A3
tan
tan
E. sec 1 sec
Math 140
Hw 18
Recommended problems, don't turn this in.
For A-D: (a) Rewrite in terms of an angle in [0,p/2]. (b) Find the
exact answer, no decimals. See the example. point each.
sec 2 tan 2
1cot 2
F. Simplify:
A(a). cos11/6
A(b). cos11/6
G. Prove: csc
Math 140
Hw 19
Recommended problems, don't turn this in.
Find the period and amplitude.
A.
period=
amplitude=
F. y 3 sin (x/2
amplitude=
6
period=
5
1
x-intercepts:
3 4
2
-6
increases on:
B.
period=
amplitude=
6
G. y cos 2x
4
amplitude=
2
-2
2
4
period=
x
Math 140
Hw 15
Recommended problems, don't turn this in.
Remember to include any needed units, e.g., mi/hr, rad/sec. Except
for 5ab, give only exact answers. No decimals.
A. Convert 45o to radian measure
I. A point (x,y) on the unit circle and on the term
Math 140
Hw 14
Recommended problems, don't turn this in.
Write N(t) in base e form. Then solve the problem.
A. A colony of bacteria starts with 2000 bugs. Two hours
later it has 3800.
N(t) =
(a) How many grams will remain after 48 hours?
(b) How long will
Math 140
Hw 13
Recommended problems, don't turn this in.
Simplify.
A. log 10 70 log 10 7
Express in terms of natural logarithms ln.
N. log 10 6.
B. log 7 7
O. log 10 e
C. log 3 108 log 3 3/4
D. 1 ln e
2
P. Solve for x using ln. 5 x 3 2x1 .
E. 2 log 2 5 3
Math 140
Hw 8
Recommended problems, don't turn this in.
v Write the function in the form: y ax h 2 k.
E.g., rewrite y x 1 2 as y x 1 2 0.
v List the roots.
v Graph. On the graph mark the vertex and give both coordinates .
A. y x 2 4x
v Draw the picture an
Math 140
Hw 7
Recommended problems, don't turn this in.
A. fx 3x 1
(a) Find f 1 x
In E, F, G, graph the function. Circle 1-1 if 1-to-1;
circle not 1-1 if not.
F. y x 2 1
1-1?
not 1-1?
G. y 1/x
(c) Graph, y f x, y x, f f 1 x on same coordinate
system.
1-1?
Math 140
Hw 10
Recommended problems, don't turn this in.
Graph and on the graph mark the x and y-intercepts. Label the
degrees of the roots. No credit if the graph isn't smooth.
A. y x 3 4x 2 5x
B. y x 3 3x 2 4x 12
C. y x 3 x 2
D. y 2x 1x 4 3
J. y 3/x 2 2