Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 35, Problem 6A
To determine
The percent of total time spent on the milling machine.
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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 35 Solutions
Mathematics for Machine Technology
Ch. 35 - Prob. 1ACh. 35 - Read the settings of this metric vernier...Ch. 35 - Prob. 3ACh. 35 - Prob. 4ACh. 35 - Prob. 5ACh. 35 - Prob. 6ACh. 35 - Prob. 7ACh. 35 - Prob. 8ACh. 35 - Prob. 9ACh. 35 - Prob. 10A
Ch. 35 - Prob. 11ACh. 35 - Prob. 12ACh. 35 - Prob. 13ACh. 35 - Prob. 14ACh. 35 - Prob. 15ACh. 35 - Using the Table of Block Thicknesses for a...Ch. 35 - Prob. 17ACh. 35 - Prob. 18ACh. 35 - Prob. 19ACh. 35 - Prob. 20ACh. 35 - Prob. 21ACh. 35 - Prob. 22ACh. 35 - Prob. 23ACh. 35 - Prob. 24ACh. 35 - Prob. 25ACh. 35 - Prob. 26ACh. 35 - Prob. 27ACh. 35 - Prob. 28ACh. 35 - Prob. 29ACh. 35 - Prob. 30ACh. 35 - Using the Table of Block Thicknesses for a...Ch. 35 - Prob. 32ACh. 35 - Prob. 33ACh. 35 - Prob. 34ACh. 35 - Prob. 35ACh. 35 - Prob. 36ACh. 35 - Prob. 37ACh. 35 - Prob. 38ACh. 35 - Prob. 39ACh. 35 - Prob. 40ACh. 35 - Prob. 41ACh. 35 - Prob. 42ACh. 35 - Prob. 43ACh. 35 - Prob. 44ACh. 35 - Prob. 45ACh. 35 - Prob. 46ACh. 35 - Prob. 47ACh. 35 - Prob. 48ACh. 35 - Prob. 49ACh. 35 - Prob. 50ACh. 35 - Prob. 51ACh. 35 - Prob. 52ACh. 35 - Prob. 53ACh. 35 - Prob. 54ACh. 35 - Prob. 55A
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