CSC 209 Homework Week 2 (Part 2)
Page 542 Problem # 31-40
Prepared by CSC 209 Erwin 12
Exercise 8.4 (Page 542)
Differentiating Trigonometric Functions
In exercise 31-40, find the derivate of the function and simplify your answer using the trigonometric identities listed in Section 8.2.
31.
32.
33.
34.
35.
36. y = cot x + x
37.
38.
39.
40.
CSC 209 Homework Week 3
Page 561 Problem # 99,101,103,105,107,109,111,113,115,117
Page 572 Problem # 23,24,25,26,30
Page 593 Problem # 13,14,15,16
Page 596 Problem # 5,6
See CalcChat.com for tutorial help and worked out solutions to odd-numbered exercise.
Prepared by CSC 209 Erwin 12
Review Exercises Chapter 8 (Page 561)
Integrating a Trigonometric Function
In exercise 99, 101, 103, 105, 107, 109, find the indefinite integral.
99.
101.
103.
105.
107.
109.
Evaluating a Definite Integral
In exercise 111, 113, 115, 117, evaluate the definite integral.
111.
113.
115.
117.
Exercises 9.1 (Page 572)
Finding the Expected value, Variance and Deviation.
In exercise 23,24,25,26, find the expected value, variance, and standard deviation for the given probability distribution.
23.
x
1
2
3
4
5
P(x)
24.
x
1
2
3
4
5
P(x)
25.
x
-3
-1
0
3
5
P(x)
26.
x
-5000
-2500
300
P(x)
0.008
0.052
0.940
XXXXXXXXXXPersonal Income The probability distribution of the random variable x, the annual income of a family (in thousands of dollars) in a certain section of a large city, is shown in the table. Find E(x) and .
x
30
40
50
60
80
P(x)
0.10
0.20
0.50
0.15
0.05
Review Exercises Chapter 9 (Page 593)
Finding Expected Value, Variance, and Standard Deviation
In exercise 13, 14, 15, 16, find the expected value, variance, and standard deviation for the given probability distribution.
13.
x
0
1
2
3
4
P(x)
14.
x
1
2
3
4
5
P(x)
15.
x
-3
-1
2
3
P(x)
0.006
0.240
0.614
0.140
16.
x
0
1
2
P(x)
0.310
0.685
0.005
Test Yourself Chapter 9 (Page 596)
In Exercise 5 and 6, find the expected value, variance, and standard deviation for he given probability distribution.
5.
x
0
1
2
3
P(x)
6.
x
-2
-1
0
1
2
P(x)
0.141
0.305
0.257
0.063
0.234
CSC 209
Homework Week
3
Page
561
P
oblem
#
99,101,103,105,107,109,111,113,115,117
Page
572
Problem #
23,24,25,26,30
Page
593
Problem #
1
3
,
14
,
15,16
Page
596
Problem #
5,6
See
CalcChat.com
for tutorial help and worked out solutions to odd
-
numbered
exercise.
Prepared by CSC 209 Erwin 12
Review
Exercise
s
Chapter 8
(Page
561
)
Integrating a Trigonometric Function
In exercise
99
, 101, 103, 105, 107, 109,
find the
indefinite integral.
99
.
?
12
sin
??
????
101
.
?
csc
5x
cot
5x
????
103.
?
??
??????
2
??
2
????
105.
?
??????
4
??
cos
??
????
107.
?
tan
3
??
????
109.
?
??????
2
2
??
tan
2
??
????
Evaluating a Definite Integral
In exercise
111, 113, 115, 117, evaluate the definite integral.
CSC 209 Homework Week 3
Page 561 Problem # 99,101,103,105,107,109,111,113,115,117
Page 572 Problem # 23,24,25,26,30
Page 593 Problem # 13,14,15,16
Page 596 Problem # 5,6
See CalcChat.com for tutorial help and worked out solutions to odd-numbered
exercise.
Prepared by CSC 209 Erwin 12
Review Exercises Chapter 8 (Page 561)
Integrating a Trigonometric Function
In exercise 99, 101, 103, 105, 107, 109, find the indefinite integral.
99. 12sin?? ????
101. csc 5x cot 5x????
103. ?? ??????
2
??
2
????
105. ??????
4
??cos?? ????
107. tan3?? ????
109.
??????
2
2??
tan2??
????
Evaluating a Definite Integral
In exercise 111, 113, 115, 117, evaluate the definite integral.