Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 24.8, Problem 32E
To determine
The how much a 5% increase in r affects V.
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Module Code: MATH380202
3. (a) Let {} be a white noise process with variance σ2.
Define an ARMA(p,q) process {X} in terms of {+} and state (without proof)
conditions for {X} to be (i) weakly stationary and (ii) invertible.
Define what is meant by an ARIMA (p, d, q) process. Let {Y} be such an ARIMA(p, d, q)
process and show how it can also be represented as an ARMA process, giving the
AR and MA orders of this representation.
(b) The following tables show the first nine sample autocorrelations and partial auto-
correlations of X and Y₁ = VX+ for a series of n = 1095 observations. (Notice
that the notation in this part has no relationship with the notation in part (a) of
this question.)
Identify a model for this time series and obtain preliminary estimates for the pa-
rameters of your model.
X₁
= 15.51, s² = 317.43.
k
1
2
3
4
5
6
7
Pk
0.981
0.974
0.968
akk 0.981 0.327
8
9
0.927
0.963 0.957 0.951 0.943 0.935
0.121 0.104 0.000 0.014 -0.067 -0.068 -0.012
Y₁ = VX : y = 0.03, s² = 11.48.
k
1…
Chapter 24 Solutions
Basic Technical Mathematics
Ch. 24.1 - For the parabola y = 4 − x2, at the point (3, −5)...Ch. 24.1 - Prob. 2PECh. 24.1 - Prob. 1ECh. 24.1 - Prob. 2ECh. 24.1 - Prob. 3ECh. 24.1 - Prob. 4ECh. 24.1 - Prob. 5ECh. 24.1 - Prob. 6ECh. 24.1 - Prob. 7ECh. 24.1 - Prob. 8E
Ch. 24.1 - Prob. 9ECh. 24.1 - Prob. 10ECh. 24.1 - Prob. 11ECh. 24.1 - Prob. 12ECh. 24.1 - In Exercises 11–14, find the equations of the...Ch. 24.1 - Prob. 14ECh. 24.1 - Prob. 15ECh. 24.1 - Prob. 16ECh. 24.1 - Prob. 17ECh. 24.1 - Prob. 18ECh. 24.1 - Prob. 19ECh. 24.1 - Prob. 20ECh. 24.1 - Prob. 21ECh. 24.1 - Where does the normal line to the parabola y = x —...Ch. 24.1 - Prob. 23ECh. 24.1 - Prob. 24ECh. 24.1 - A certain suspension cable with supports on the...Ch. 24.1 - Prob. 26ECh. 24.1 - Prob. 27ECh. 24.1 - Prob. 28ECh. 24.1 - Prob. 29ECh. 24.1 - Prob. 30ECh. 24.2 -
In Example 1, let x1 = 0.3, and find x2.
EXAMPLE...Ch. 24.2 - Prob. 1ECh. 24.2 - Prob. 2ECh. 24.2 - Prob. 3ECh. 24.2 - Prob. 4ECh. 24.2 - Prob. 5ECh. 24.2 - Prob. 6ECh. 24.2 - Prob. 7ECh. 24.2 - Prob. 8ECh. 24.2 - Prob. 9ECh. 24.2 - Prob. 10ECh. 24.2 - Prob. 11ECh. 24.2 - Prob. 12ECh. 24.2 - Prob. 13ECh. 24.2 - Prob. 14ECh. 24.2 - Prob. 15ECh. 24.2 - Prob. 16ECh. 24.2 - Prob. 17ECh. 24.2 - Prob. 18ECh. 24.2 - Prob. 19ECh. 24.2 - Prob. 20ECh. 24.2 - Prob. 21ECh. 24.2 - Prob. 23ECh. 24.2 - Prob. 24ECh. 24.2 - Prob. 25ECh. 24.2 - Prob. 27ECh. 24.2 - Prob. 28ECh. 24.2 - Prob. 29ECh. 24.2 - Prob. 30ECh. 24.3 - Prob. 1PECh. 24.3 - Prob. 1ECh. 24.3 - Prob. 2ECh. 24.3 - Prob. 3ECh. 24.3 - Prob. 4ECh. 24.3 - Prob. 5ECh. 24.3 - Prob. 6ECh. 24.3 - Prob. 7ECh. 24.3 - Prob. 8ECh. 24.3 - Prob. 9ECh. 24.3 - Prob. 10ECh. 24.3 - Prob. 11ECh. 24.3 - Prob. 12ECh. 24.3 - Prob. 13ECh. 24.3 - Prob. 14ECh. 24.3 - Prob. 15ECh. 24.3 - Prob. 16ECh. 24.3 - In Exercises 11–30, find the indicated velocities...Ch. 24.3 - Prob. 18ECh. 24.3 - Prob. 19ECh. 24.3 - Prob. 20ECh. 24.3 - Prob. 21ECh. 24.3 - Prob. 22ECh. 24.3 - Prob. 23ECh. 24.3 - Prob. 24ECh. 24.3 - Prob. 25ECh. 24.3 - Prob. 26ECh. 24.3 - Prob. 27ECh. 24.3 - Prob. 28ECh. 24.3 - Prob. 29ECh. 24.3 - Prob. 30ECh. 24.4 - In Example 2, change each 10 to 12, and then...Ch. 24.4 - In Exercises 1 and 2, make the given changes in...Ch. 24.4 - In Exercises 1 and 2, make the given changes in...Ch. 24.4 - In Exercises 3–6, assume that all variables are...Ch. 24.4 - In Exercises 3–6, assume that all variables are...Ch. 24.4 - In Exercises 3–6, assume that all variables are...Ch. 24.4 - In Exercises 3–6, assume that all variables are...Ch. 24.4 - Prob. 7ECh. 24.4 - Prob. 8ECh. 24.4 - Prob. 9ECh. 24.4 - Prob. 10ECh. 24.4 - Prob. 11ECh. 24.4 - Prob. 12ECh. 24.4 - Prob. 13ECh. 24.4 - Prob. 14ECh. 24.4 - Prob. 15ECh. 24.4 - In Exercises 7–42, solve the problems in related...Ch. 24.4 - Prob. 17ECh. 24.4 - Prob. 18ECh. 24.4 - Prob. 19ECh. 24.4 - Prob. 20ECh. 24.4 - Prob. 21ECh. 24.4 - Prob. 22ECh. 24.4 - Prob. 23ECh. 24.4 - Prob. 24ECh. 24.4 - Prob. 25ECh. 24.4 - Prob. 26ECh. 24.4 - Prob. 27ECh. 24.4 - In Exercises 7–42, solve the problems in related...Ch. 24.4 - In Exercises 7–42, solve the problems in related...Ch. 24.4 - In Exercises 7–42, solve the problems in related...Ch. 24.4 - Prob. 31ECh. 24.4 - Prob. 32ECh. 24.4 - Prob. 33ECh. 24.4 - Prob. 34ECh. 24.4 - Prob. 35ECh. 24.4 - Prob. 36ECh. 24.4 - In Exercises 7–42, solve the problems in related...Ch. 24.4 - Prob. 38ECh. 24.4 - Prob. 39ECh. 24.4 - Prob. 40ECh. 24.4 - Prob. 41ECh. 24.4 - Prob. 42ECh. 24.5 - Prob. 1PECh. 24.5 - Prob. 2PECh. 24.5 - Prob. 1ECh. 24.5 - Prob. 2ECh. 24.5 - Prob. 3ECh. 24.5 - Prob. 4ECh. 24.5 - Prob. 5ECh. 24.5 - Prob. 6ECh. 24.5 - Prob. 7ECh. 24.5 - Prob. 8ECh. 24.5 - Prob. 9ECh. 24.5 - Prob. 10ECh. 24.5 - Prob. 11ECh. 24.5 - Prob. 12ECh. 24.5 - Prob. 13ECh. 24.5 - Prob. 14ECh. 24.5 - Prob. 15ECh. 24.5 - Prob. 16ECh. 24.5 - Prob. 17ECh. 24.5 - Prob. 18ECh. 24.5 - Prob. 19ECh. 24.5 - Prob. 20ECh. 24.5 - Prob. 21ECh. 24.5 - Prob. 22ECh. 24.5 - Prob. 23ECh. 24.5 - Prob. 24ECh. 24.5 - Prob. 25ECh. 24.5 - Prob. 26ECh. 24.5 - Prob. 27ECh. 24.5 - Prob. 28ECh. 24.5 - Prob. 29ECh. 24.5 - Prob. 30ECh. 24.5 - Prob. 31ECh. 24.5 - Prob. 32ECh. 24.5 - Prob. 33ECh. 24.5 - Prob. 34ECh. 24.5 - Prob. 35ECh. 24.5 - Prob. 36ECh. 24.5 - Prob. 37ECh. 24.5 - Prob. 38ECh. 24.5 - Prob. 39ECh. 24.5 - Prob. 40ECh. 24.5 - Prob. 41ECh. 24.5 - Prob. 42ECh. 24.5 - Prob. 43ECh. 24.5 - Prob. 44ECh. 24.5 - Prob. 45ECh. 24.5 - Prob. 46ECh. 24.5 - Prob. 47ECh. 24.5 - Prob. 48ECh. 24.5 - Prob. 49ECh. 24.5 - Prob. 50ECh. 24.5 - Prob. 51ECh. 24.5 - Prob. 52ECh. 24.5 - Prob. 53ECh. 24.5 - Prob. 54ECh. 24.5 - Prob. 55ECh. 24.5 - Prob. 56ECh. 24.5 - Prob. 57ECh. 24.5 - Prob. 58ECh. 24.6 - Prob. 1PECh. 24.6 - Prob. 1ECh. 24.6 - Prob. 2ECh. 24.6 - Prob. 3ECh. 24.6 - Prob. 4ECh. 24.6 - Prob. 5ECh. 24.6 - Prob. 6ECh. 24.6 - Prob. 7ECh. 24.6 - Prob. 8ECh. 24.6 - Prob. 9ECh. 24.6 - Prob. 10ECh. 24.6 - Prob. 11ECh. 24.6 - Prob. 12ECh. 24.6 - Prob. 13ECh. 24.6 - Prob. 14ECh. 24.6 - Prob. 15ECh. 24.6 - Prob. 16ECh. 24.6 - Prob. 17ECh. 24.6 - Prob. 18ECh. 24.6 - Prob. 19ECh. 24.6 - Prob. 20ECh. 24.6 - Prob. 21ECh. 24.6 - Prob. 22ECh. 24.6 - Prob. 23ECh. 24.6 - Prob. 24ECh. 24.6 - Prob. 25ECh. 24.6 - Prob. 26ECh. 24.6 - Prob. 27ECh. 24.6 - Prob. 28ECh. 24.6 - Prob. 29ECh. 24.6 - Prob. 30ECh. 24.6 - Prob. 31ECh. 24.6 - Prob. 32ECh. 24.7 - Prob. 1PECh. 24.7 - Prob. 2PECh. 24.7 - Prob. 1ECh. 24.7 - Prob. 2ECh. 24.7 - The height (in ft) of a flare shot upward from the...Ch. 24.7 - Prob. 4ECh. 24.7 - Prob. 5ECh. 24.7 - Prob. 6ECh. 24.7 - Prob. 7ECh. 24.7 - Prob. 8ECh. 24.7 - Prob. 9ECh. 24.7 - Prob. 10ECh. 24.7 - Prob. 11ECh. 24.7 - Prob. 12ECh. 24.7 - In deep water, the velocity of a wave is , where a...Ch. 24.7 - Prob. 14ECh. 24.7 - Prob. 15ECh. 24.7 - Prob. 16ECh. 24.7 - A microprocessor chip is being designed with a...Ch. 24.7 - Prob. 18ECh. 24.7 - What are the dimensions of the largest rectangular...Ch. 24.7 - A rectangular storage area is to be constructed...Ch. 24.7 - Prob. 21ECh. 24.7 - Prob. 22ECh. 24.7 - Prob. 23ECh. 24.7 - Prob. 24ECh. 24.7 - Prob. 25ECh. 24.7 - Prob. 26ECh. 24.7 - Prob. 27ECh. 24.7 - Prob. 28ECh. 24.7 - Prob. 29ECh. 24.7 - Prob. 30ECh. 24.7 - Prob. 31ECh. 24.7 - Prob. 32ECh. 24.7 - Prob. 33ECh. 24.7 - What is the minimum slope of the curve y = x5 −...Ch. 24.7 - Prob. 35ECh. 24.7 - Prob. 36ECh. 24.7 - Prob. 37ECh. 24.7 - Prob. 38ECh. 24.7 - Prob. 39ECh. 24.7 - Prob. 40ECh. 24.7 - Prob. 41ECh. 24.7 - Computer simulation shows that the drag F (in N)...Ch. 24.7 - Prob. 43ECh. 24.7 - The potential energy E of an electric charge q due...Ch. 24.7 - An open box is to be made from a square piece of...Ch. 24.7 - Prob. 46ECh. 24.7 - Prob. 47ECh. 24.7 - Prob. 48ECh. 24.7 - An oil pipeline is to be built from a refinery to...Ch. 24.7 - Prob. 50ECh. 24.7 - Prob. 51ECh. 24.7 - Prob. 52ECh. 24.7 - Prob. 53ECh. 24.7 - Prob. 54ECh. 24.8 - Prob. 1PECh. 24.8 - Prob. 2PECh. 24.8 - Prob. 1ECh. 24.8 - Prob. 2ECh. 24.8 - Prob. 3ECh. 24.8 - Prob. 4ECh. 24.8 - Prob. 5ECh. 24.8 - Prob. 6ECh. 24.8 - Prob. 7ECh. 24.8 - Prob. 8ECh. 24.8 - Prob. 9ECh. 24.8 - Prob. 10ECh. 24.8 - Prob. 11ECh. 24.8 - Prob. 12ECh. 24.8 - Prob. 13ECh. 24.8 - Prob. 14ECh. 24.8 - Prob. 15ECh. 24.8 - Prob. 16ECh. 24.8 - Prob. 17ECh. 24.8 - Prob. 18ECh. 24.8 - Prob. 19ECh. 24.8 - Prob. 20ECh. 24.8 - Prob. 21ECh. 24.8 - Prob. 22ECh. 24.8 - Prob. 23ECh. 24.8 - Prob. 24ECh. 24.8 - Prob. 25ECh. 24.8 - Prob. 26ECh. 24.8 - Prob. 27ECh. 24.8 - Prob. 28ECh. 24.8 - Prob. 29ECh. 24.8 - Prob. 30ECh. 24.8 - Prob. 31ECh. 24.8 - Prob. 32ECh. 24.8 - Prob. 33ECh. 24.8 - Prob. 34ECh. 24.8 - Prob. 35ECh. 24.8 - Prob. 36ECh. 24.8 - Prob. 37ECh. 24.8 - Prob. 38ECh. 24.8 - Prob. 39ECh. 24.8 - Prob. 40ECh. 24.8 - Prob. 41ECh. 24.8 - Prob. 42ECh. 24.8 - Prob. 43ECh. 24.8 - Prob. 44ECh. 24 - Prob. 1RECh. 24 - Prob. 2RECh. 24 - Prob. 3RECh. 24 - Prob. 4RECh. 24 - Prob. 5RECh. 24 - Prob. 6RECh. 24 - Prob. 7RECh. 24 - Prob. 8RECh. 24 - Prob. 9RECh. 24 - Prob. 10RECh. 24 - Prob. 11RECh. 24 - Prob. 12RECh. 24 - Prob. 13RECh. 24 - Prob. 14RECh. 24 - Prob. 15RECh. 24 - Prob. 16RECh. 24 - Prob. 17RECh. 24 - Prob. 18RECh. 24 - Prob. 19RECh. 24 - Prob. 20RECh. 24 - Prob. 21RECh. 24 - Prob. 22RECh. 24 - Prob. 23RECh. 24 - Prob. 24RECh. 24 - Prob. 25RECh. 24 - Prob. 26RECh. 24 - Prob. 27RECh. 24 - In Exercises 25–32, sketch the graphs of the given...Ch. 24 - Prob. 29RECh. 24 - Prob. 30RECh. 24 - Prob. 31RECh. 24 - Prob. 32RECh. 24 - Prob. 33RECh. 24 - Prob. 34RECh. 24 - Prob. 35RECh. 24 - Prob. 36RECh. 24 - Prob. 37RECh. 24 - Prob. 38RECh. 24 - Prob. 39RECh. 24 - Prob. 40RECh. 24 - Prob. 41RECh. 24 - Prob. 42RECh. 24 - Prob. 43RECh. 24 - Prob. 44RECh. 24 - Prob. 45RECh. 24 - Prob. 46RECh. 24 - Prob. 47RECh. 24 - Prob. 48RECh. 24 - Prob. 49RECh. 24 - Prob. 50RECh. 24 - Prob. 51RECh. 24 - Prob. 52RECh. 24 - In Exercises 49–94, solve the given problems.
53....Ch. 24 - Prob. 54RECh. 24 - Prob. 55RECh. 24 - Prob. 56RECh. 24 - The deflection y (in m) of a beam at a horizontal...Ch. 24 - Prob. 58RECh. 24 - Prob. 59RECh. 24 - Prob. 60RECh. 24 - Prob. 61RECh. 24 - Prob. 62RECh. 24 - In Fig. 24.75, the tension T supports the 40.0-N...Ch. 24 - Prob. 64RECh. 24 - Prob. 65RECh. 24 - Prob. 66RECh. 24 - An analysis of the power output P (in kW/m3) of a...Ch. 24 - The altitude h (in ft) of a certain rocket as a...Ch. 24 - Prob. 69RECh. 24 - Prob. 70RECh. 24 - Prob. 71RECh. 24 - Prob. 72RECh. 24 - Prob. 73RECh. 24 - A special insulation strip is to be sealed...Ch. 24 - Prob. 75RECh. 24 - Prob. 76RECh. 24 - Prob. 77RECh. 24 - Prob. 78RECh. 24 - Prob. 79RECh. 24 - Prob. 80RECh. 24 - Prob. 81RECh. 24 - Prob. 82RECh. 24 - Prob. 83RECh. 24 - Prob. 84RECh. 24 - Prob. 85RECh. 24 - Prob. 86RECh. 24 - Prob. 87RECh. 24 - Prob. 88RECh. 24 - Prob. 89RECh. 24 - Prob. 90RECh. 24 - Prob. 91RECh. 24 - Prob. 92RECh. 24 - Prob. 93RECh. 24 - Prob. 94RECh. 24 - Prob. 95RECh. 24 - Prob. 1PTCh. 24 - Prob. 2PTCh. 24 - Prob. 3PTCh. 24 - Prob. 4PTCh. 24 - Prob. 5PTCh. 24 - Prob. 6PTCh. 24 - Prob. 7PTCh. 24 - Prob. 8PTCh. 24 - Prob. 9PTCh. 24 - Prob. 10PT
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