Advanced Engineering Mathematics
6th Edition
ISBN: 9781284105902
Author: Dennis G. Zill
Publisher: Jones & Bartlett Learning
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Question
Chapter 3.8, Problem 24E
(a)
To determine
Whether the initial displacement is above or below the equilibrium position.
(b)
To determine
Whether the mass is heading downward or upward.
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Question 2.
Find the equilibrium solutions of the SIR Model.
SITUATION 1
Direct evidence of Newton's universal law of gravitation was provided from a renowned experiment by Henry
Cavendish (1731-1810). In the experiment, masses of objects (treated as samples) were determined by
weighing, and the measured force of attraction was used to calculate the density of the earth. The values of
the earth's density (in g/cm³), in time order by row, are:
5.36
5.29
5.58
5.65
5.57
5.53
5.62
5.29
5.44
5.34
5.79
5.10
5.27
5.39
5.42
5.47
5.63
5.34
5.46
5.30
5.75
5.68
5.85
(a) Determine the mean, median, range, variance, standard deviation, and coefficient of variation of the given
data set.
(b) Evaluate if the data set is symmetric, positively skewed, or negatively skewed. Justify your answer.
(c) Evaluate if the kurtosis of the given data set is mesokurtic, leptokurtic, or platykurtic. Justify your answer.
Question 24
Fit a least-squares parabola having the form y = a + bx + cx- to the given data.
1.2
1.8
3.1
4.9
5.7
7.1
8.6
9.8
4.5
5.9
7
7.8
7.2
6.8
4.5
2.7
y
Write only the letter corresponding to the correct answer.
Find the linear coefficient between x and y.
A) -0.29 B) 0.29
C) -0.37 D) 0.37
Find the non linear coefficient of the parabolic relationship between x and y
A) 0.99 B) 0.88 C) 0.77 D) 0.66
Interpretation or r in number 1 and 2.
A) x and y have very good negative linear relationship B) x and y have good positive linear relationship
C) x and y have good negative non linear relationship D) x and y have very good positive non linear relationship
What percentage of the total variation remains unexplained by the assumption of a parabolic relationship between x and y?
A) 0.75 B) 1.78 C) 2.33 D) 3.75
Chapter 3 Solutions
Advanced Engineering Mathematics
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 42ECh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - 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Prob. 8ECh. 3.10 - Prob. 9ECh. 3.10 - Prob. 10ECh. 3.10 - Prob. 11ECh. 3.10 - Prob. 12ECh. 3.10 - Prob. 13ECh. 3.10 - Prob. 14ECh. 3.10 - Prob. 15ECh. 3.10 - Prob. 16ECh. 3.10 - Prob. 17ECh. 3.10 - Prob. 18ECh. 3.10 - Prob. 19ECh. 3.10 - Prob. 20ECh. 3.10 - Prob. 21ECh. 3.10 - Prob. 22ECh. 3.10 - Prob. 23ECh. 3.10 - Prob. 24ECh. 3.10 - Prob. 25ECh. 3.10 - Prob. 26ECh. 3.10 - Prob. 27ECh. 3.10 - Prob. 28ECh. 3.10 - Prob. 29ECh. 3.10 - Prob. 30ECh. 3.10 - Prob. 31ECh. 3.10 - Prob. 32ECh. 3.10 - Prob. 33ECh. 3.10 - Prob. 34ECh. 3.10 - Prob. 35ECh. 3.10 - Prob. 36ECh. 3.10 - Prob. 37ECh. 3.10 - Prob. 38ECh. 3.10 - Prob. 39ECh. 3.10 - Prob. 40ECh. 3.10 - Prob. 41ECh. 3.10 - Prob. 42ECh. 3.10 - Prob. 43ECh. 3.10 - Prob. 44ECh. 3.10 - Prob. 45ECh. 3.10 - Prob. 46ECh. 3.11 - Prob. 7ECh. 3.11 - Prob. 14ECh. 3.11 - Prob. 15ECh. 3.11 - Prob. 16ECh. 3.11 - Prob. 20ECh. 3.11 - Prob. 21ECh. 3.12 - Prob. 1ECh. 3.12 - Prob. 2ECh. 3.12 - Prob. 3ECh. 3.12 - Prob. 4ECh. 3.12 - Prob. 5ECh. 3.12 - Prob. 6ECh. 3.12 - 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