1. Given that Y = e + Cosx, find: dy a. dr b. d'y/dx?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:1. Given that Y = eiax + Cosx, find:
dy
a.
dr
b. d'y/dx
2. The ages of a random sample of depositors at a named bank in Lusaka are as follows:
34
28
46
37
33
24
29
45
37
34
32
25
50
54
32
36
38
41
38
44
28
43
40
49
30
46
27
34
61
33
a. Display the data presented above on a stem and leaf display
b. State any three reasons why statisticians would display data on a stem and leaf
c. Find
i. Mean
ii. Variance
iii. Standard deviation
3. The profits to be realised from airtime vending business, to the nearest S1 000, are believed to
follow the probability distribution shown below:
-2 000
-1 000
1 000
2 000
3 000
P(X = x)
0.1
0.1
0.2
K
0.3
0.1
a. Determine the value of K.
b. Find the probability that the airtime vending
i.
Makes a loss
ii.
Realises profit of at least $2 000
c. Find
i.
The expected earnings and
Standard deviation of profits for the air time vending business
ii.
d. Is the air time vending business likely to be successful? Explain
4. In the table below, 55 students have been placed in four cells according to their lecture's
ratings as good performer and poor performers, and success/failure on a consumer
intelligence index test item.
Lecture's Ratings
Test Item
Total
Pass
Good performers
Poor performers
Total
10
15
25
16
14
30
26
29
55
Test at 95% confidence Interval whether there is item differences between individuals on
the basis of their performance as rated by their teachers.
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