Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 53, Problem 28A
Determine the answers to the following exercises which are based on corresponding parts.
Refer to triangle EEG.
a. Find the shortest side.
b. Find the next shortest side.
c. Find the longest side.
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Refer to page 52 for solving the heat equation using separation of variables.
Instructions:
•
•
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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-
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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
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• 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]
Refer to page 54 for solving the wave equation.
Instructions:
•
Apply d'Alembert's solution method or separation of variables as appropriate.
•
Clearly show the derivation of the general solution.
• Incorporate initial and boundary conditions to obtain a specific solution. Justify all
transformations and integrations.
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Chapter 53 Solutions
Mathematics For Machine Technology
Ch. 53 - Determine the values of 2, 3, and 4 if l is 113.Ch. 53 - Use a protractor to measure the angle to the...Ch. 53 - Express 191.5326 as degrees, minutes, and seconds....Ch. 53 - Cast iron 10 cm in diameter is turned in a lathe...Ch. 53 - Solve 4t7t2216=12t.Ch. 53 - If m m=5,p=2,and r=12 ,find m24p+3rmp+prmmr.Give...Ch. 53 - Identify each of the triangles 7 through 14 as...Ch. 53 - Identify each of the triangles 7 through 14 as...Ch. 53 - Identify each of the triangles 7 through 14 as...Ch. 53 - Identify each of the triangles 7 through 14 as...
Ch. 53 - Identify each of the triangles 7 through 14 as...Ch. 53 - Identify each of the triangles 7 through 14 as...Ch. 53 - Identify each of the triangles 7 through 14 as...Ch. 53 - Identify each of the triangles 7 through 14 as...Ch. 53 - Solve the following exercises: Find the value of...Ch. 53 - Solve the following exercises: Find the value of...Ch. 53 - Solve the following exercises: Find the value of...Ch. 53 - Solve the following exercises: Find the value of...Ch. 53 - Solve the following exercises: In triangle ABC, BC...Ch. 53 - Solve the following exercises: In triangle EFG,...Ch. 53 - Solve the following exercises: Find the value of...Ch. 53 - Solve the following exercises: All dimensions are...Ch. 53 - Solve the following exercises: Find the value of...Ch. 53 - Solve the following exercises: Hole centrelines...Ch. 53 - Solve the following exercises: Find the value of...Ch. 53 - Solve the following exercises: ABDE,BC is an...Ch. 53 - Determine the answers to the following exercises...Ch. 53 - Determine the answers to the following exercises...Ch. 53 - Determine the answers to the following exercises...Ch. 53 - Determine the answers to the following exercises...
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