Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 68, Problem 30A
Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units. Compute the sides to 2 decimal places in triangles dimensioned in metric units.
a. Determine side p.
b. Determine side n
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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 68 Solutions
Mathematics For Machine Technology
Ch. 68 - If cos 3518', write the cofunction of the...Ch. 68 - If sinA=0.3617 , determine the value of angle A in...Ch. 68 - Find the volume to the nearest tenth cubic...Ch. 68 - Prob. 4ACh. 68 - Prob. 5ACh. 68 - Prob. 6ACh. 68 - Solve the following exercises. Compute angles to...Ch. 68 - Solve the following exercises. Compute angles to...Ch. 68 - Solve the following exercises. Compute angles to...Ch. 68 - Solve the following exercises. Compute angles to...
Ch. 68 - Solve the following exercises. Compute angles to...Ch. 68 - Solve the following exercises. Compute angles to...Ch. 68 - Solve the following exercises. Compute angles to...Ch. 68 - Solve the following exercises. Compute angles to...Ch. 68 - Solve the following exercises. Compute angles to...Ch. 68 - Solve the following exercises. Compute angles to...Ch. 68 - Solve the following exercises. Compute angles to...Ch. 68 - Solve the following exercises. Compute angles to...Ch. 68 - Solve the following exercises. Compute the sides...Ch. 68 - Solve the following exercises. Compute the sides...Ch. 68 - Solve the following exercises. Compute the sides...Ch. 68 - Solve the following exercises. Compute the sides...Ch. 68 - Solve the following exercises. Compute the sides...Ch. 68 - Solve the following exercises. Compute the sides...Ch. 68 - Solve the following exercises. Compute the sides...Ch. 68 - Solve the following exercises. Compute the sides...Ch. 68 - Solve the following exercises. Compute the sides...Ch. 68 - Solve the following exercises. Compute the sides...Ch. 68 - Solve the following exercises. Compute the sides...Ch. 68 - Solve the following exercises. Compute the sides...Ch. 68 - Solve the following exercises. For triangles...Ch. 68 - Solve the following exercises. For triangles...Ch. 68 - Solve the following exercises. For triangles...Ch. 68 - Solve the following exercises. For triangles...Ch. 68 - Solve the following exercises. For triangles...Ch. 68 - Solve the following exercises. For triangles...
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