Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 42, Problem 145A
To determine
The value of given expression.
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1. [10 points] Given y₁(x) = x²² is a solution to the differential equation x²y"+6xy'+6y=0 (x>0), find a
second linearly independent solution using reduction of order.
>tt 1:32
> trend.1m 1m (sales
> summary(trend.1m)
-
tt) #3###23 (i) ####
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 2107.220
57.997 36.332e-16 ***
tt
-43.500
3.067 -14.18 7.72e-15 ***
> trend = ts (fitted (trend.1m), start-start (sales), freq-frequency (sales))
sales trend ###23%23 (ii) ####
as.numeric((1:32 %% 4)
> X
> q1
> q2
> q3
> 94
=
=
=
=
-
as.numeric((1:32 %% 4)
as.numeric((1:32 %% 4)
as.numeric((1:32 %% 4)
== 1)
2)
==
== 3)
==
0)
> season.lm = 1m (resid (trend.1m) 0+q1 + q2 + q3 + q4) #3##23%23 (iii) ####
> summary(season.1m)
Coefficients:
Estimate Std. Error t value Pr(>|t|)
q1
-38.41
43.27 -0.888 0.38232
92
18.80
43.27
0.435 0.66719
q3
-134.78
43.27
-3.115 0.00422 **
94
154.38
43.27 3.568
0.00132 **
> season = ts (fitted (season.lm), start=start (sales), freq=frequency (sales))
> Y X season %23%23%23%23 (iv) ####
>ar (Y, aic=FALSE, order.max=1) #23%23%23%23 (v) ####
Coefficients:
1
0.5704
Order selected 1 sigma 2 estimated as 9431
> ar(Y, aic=FALSE,…
Chapter 42 Solutions
Mathematics For Machine Technology
Ch. 42 - Add (9x2y+xy5xy2),(3x2y4xy+5xy2) and (7x2y+3xy)Ch. 42 - Multiply the signed numbers -16.2, 12.3, and -4.5.Ch. 42 - Use the proper order of operations to simplify...Ch. 42 - Prob. 4ACh. 42 - Prob. 5ACh. 42 - Prob. 6ACh. 42 - Divide the following terms as indicated. 4x22xCh. 42 - Divide the following terms as indicated....Ch. 42 - Prob. 9ACh. 42 - Divide the following terms as indicated. FS2FS2
Ch. 42 - Divide the following terms as indicated. 014mnCh. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated. DM2(1)Ch. 42 - Divide the following terms as indicated. 3.7ababCh. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Prob. 22ACh. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated. 34FS3(3S)Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Prob. 36ACh. 42 - Divide the following expressions as indicated....Ch. 42 - Prob. 38ACh. 42 - Prob. 39ACh. 42 - Prob. 40ACh. 42 - Raise the following terms to indicated powers....Ch. 42 - Prob. 42ACh. 42 - Prob. 43ACh. 42 - Prob. 44ACh. 42 - Prob. 45ACh. 42 - Prob. 46ACh. 42 - Prob. 47ACh. 42 - Prob. 48ACh. 42 - Prob. 49ACh. 42 - Prob. 50ACh. 42 - Prob. 51ACh. 42 - Prob. 52ACh. 42 - Prob. 53ACh. 42 - Prob. 54ACh. 42 - Prob. 55ACh. 42 - Prob. 56ACh. 42 - Prob. 57ACh. 42 - Prob. 58ACh. 42 - Prob. 59ACh. 42 - Prob. 60ACh. 42 - Prob. 61ACh. 42 - Prob. 62ACh. 42 - Prob. 63ACh. 42 - Prob. 64ACh. 42 - Prob. 65ACh. 42 - Prob. 66ACh. 42 - Prob. 67ACh. 42 - Prob. 68ACh. 42 - Prob. 69ACh. 42 - Prob. 70ACh. 42 - Determine the roots of the following terms. 81x8y6Ch. 42 - Prob. 72ACh. 42 - Prob. 73ACh. 42 - Prob. 74ACh. 42 - Prob. 75ACh. 42 - Prob. 76ACh. 42 - Prob. 77ACh. 42 - Prob. 78ACh. 42 - Prob. 79ACh. 42 - Prob. 80ACh. 42 - Prob. 81ACh. 42 - Prob. 82ACh. 42 - Prob. 83ACh. 42 - Prob. 84ACh. 42 - Prob. 85ACh. 42 - Prob. 86ACh. 42 - Prob. 87ACh. 42 - Prob. 88ACh. 42 - Prob. 89ACh. 42 - Prob. 90ACh. 42 - Prob. 91ACh. 42 - Prob. 92ACh. 42 - Prob. 93ACh. 42 - Prob. 94ACh. 42 - Prob. 95ACh. 42 - Prob. 96ACh. 42 - Prob. 97ACh. 42 - Prob. 98ACh. 42 - Prob. 99ACh. 42 - Prob. 100ACh. 42 - Prob. 101ACh. 42 - Prob. 102ACh. 42 - Prob. 103ACh. 42 - Prob. 104ACh. 42 - Prob. 105ACh. 42 - Prob. 106ACh. 42 - Simplify the following expressions. 64d69d2Ch. 42 - Prob. 108ACh. 42 - Prob. 109ACh. 42 - Prob. 110ACh. 42 - Prob. 111ACh. 42 - Prob. 112ACh. 42 - Prob. 113ACh. 42 - Rewrite the following standard form numbers in...Ch. 42 - Prob. 115ACh. 42 - Rewrite the following standard form numbers in...Ch. 42 - Rewrite the following standard form numbers in...Ch. 42 - Prob. 118ACh. 42 - Prob. 119ACh. 42 - Prob. 120ACh. 42 - Prob. 121ACh. 42 - Prob. 122ACh. 42 - Prob. 123ACh. 42 - Prob. 124ACh. 42 - Prob. 125ACh. 42 - Prob. 126ACh. 42 - Prob. 127ACh. 42 - Prob. 128ACh. 42 - Prob. 129ACh. 42 - Prob. 130ACh. 42 - Prob. 131ACh. 42 - Prob. 132ACh. 42 - Prob. 133ACh. 42 - Prob. 134ACh. 42 - Prob. 135ACh. 42 - Prob. 136ACh. 42 - Prob. 137ACh. 42 - Prob. 138ACh. 42 - Prob. 139ACh. 42 - Prob. 140ACh. 42 - Prob. 141ACh. 42 - Prob. 142ACh. 42 - Prob. 143ACh. 42 - Prob. 144ACh. 42 - Prob. 145ACh. 42 - Prob. 146ACh. 42 - Prob. 147ACh. 42 - Prob. 148ACh. 42 - Prob. 149ACh. 42 - The following problems are given in decimal...Ch. 42 - Prob. 151ACh. 42 - Prob. 152ACh. 42 - Prob. 153ACh. 42 - Prob. 154A
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