Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 70, Problem 6A
To determine
The side of the regular hexagon.
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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 70 Solutions
Mathematics for Machine Technology
Ch. 70 - Sketch a 25125' ray on a Cartesian coordinate...Ch. 70 - Prob. 2ACh. 70 - Prob. 3ACh. 70 - Prob. 4ACh. 70 - Prob. 5ACh. 70 - Prob. 6ACh. 70 - Prob. 7ACh. 70 - Solve the following exercises using the Law of...Ch. 70 - Prob. 9ACh. 70 - Find side x. All dimensions are in millimeters.
Ch. 70 - Find x. All dimensions are in inches.Ch. 70 - Prob. 12ACh. 70 - Find x. All dimensions are in inches.Ch. 70 - Find x. All dimensions are in inches.Ch. 70 - Find side x. All dimensions are in millimeters.Ch. 70 - Two sides and an angle opposite one of the sides...Ch. 70 - Two sides and an angle opposite one of the sides...Ch. 70 - A 21-mm side, 29-mm side, a 41 angle opposite the...Ch. 70 - A 0.943" side, a 0.612" side, and a 6215' angle...Ch. 70 - A 2.10-ft side, a 3.05-ft side, a 2930' angle...Ch. 70 - A 16.35-mm side, a 23.86-mm side, a 115 angle...Ch. 70 - An 87.60-mm side, a 124.80-mm side, a 12.90 angle...Ch. 70 - A 34.090" side, a 35.120" side, a 4618' angle...Ch. 70 - Solve the following exercises using the Law of...Ch. 70 - Solve the following exercises using the Law of...Ch. 70 - Solve the following exercises using the Law of...Ch. 70 - Solve the following exercises using the Law of...Ch. 70 - Solve the following exercises using the Law of...Ch. 70 - Solve the following exercises using the Law of...Ch. 70 - Find x. All dimensions are in inches.Ch. 70 - Find side x. All dimensions are in millimeters.Ch. 70 - Find side x. All dimensions are in inchesCh. 70 - Solve the following exercises using a combination...Ch. 70 - Solve the following exercises using a combination...Ch. 70 - Solve the following exercises using a combination...Ch. 70 - Prob. 36ACh. 70 - Solve the following exercises using a combination...Ch. 70 - Solve the following exercises using a combination...Ch. 70 - Solve the following machine shop exercises. Find...Ch. 70 - Solve the following machine shop exercises. Find...Ch. 70 - Prob. 41ACh. 70 - Prob. 42ACh. 70 - Solve the following machine shop exercises. Find...Ch. 70 - Solve the following machine shop exercises. Find...Ch. 70 - Prob. 45ACh. 70 - Solve the following machine shop exercises. Find...Ch. 70 - Prob. 47ACh. 70 - Prob. 48A
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