Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 64, Problem 4A
Convert 12.02 sq in. to square centimeters.
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>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,…
Refer to page 52 for solving the heat equation using separation of variables.
Instructions:
•
•
•
Write the heat equation in its standard form and apply boundary and initial conditions.
Use the method of separation of variables to derive the solution.
Clearly show the derivation of eigenfunctions and coefficients. Provide a detailed solution, step-
by-step.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440AZF/view?usp=sharing]
Refer to page 20 for orthogonalizing a set of vectors using the Gram-Schmidt process.
Instructions:
• Apply the Gram-Schmidt procedure to the given set of vectors, showing all projections and
subtractions step-by-step.
• Normalize the resulting orthogonal vectors if required.
• Verify orthogonality by computing dot products between the vectors.
Link:
[https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharing]
Chapter 64 Solutions
Mathematics For Machine Technology
Ch. 64 - In order to make a conical duct a circular sheet...Ch. 64 - Prob. 2ACh. 64 - Prob. 3ACh. 64 - Convert 12.02 sq in. to square centimeters.Ch. 64 - Prob. 5ACh. 64 - Prob. 6ACh. 64 - Prob. 7ACh. 64 - Compute the volume of each sphere 7 through 14....Ch. 64 - Prob. 9ACh. 64 - Compute the volume of each sphere 7 through 14....
Ch. 64 - Prob. 11ACh. 64 - Compute the volume of each sphere 7 through 14....Ch. 64 - Prob. 13ACh. 64 - Compute the volume of each sphere 7 through 14....Ch. 64 - Prob. 15ACh. 64 - Solve these exercise. A vat in the shape of a...Ch. 64 - Prob. 17ACh. 64 - Solve these exercises. A company produces...Ch. 64 - Solve these exercises. Pieces in the shape of...Ch. 64 - Solve these exercises. A plastic products...Ch. 64 - Solve these exercises. Find the weight of the...Ch. 64 - Compute the capacity, in liters, of the container...Ch. 64 - A seamless brass tube and brass flange assembly is...Ch. 64 - Find the number of cubic centimeters of material...Ch. 64 - Find the weight of the cast-iron angle iron shown....Ch. 64 - Prob. 26ACh. 64 - Prob. 27ACh. 64 - Compute the number of cubic centimeters of...
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