×
×

# (c) Fourier sine series of f(x) = x on the interval 0 x L 5.10.3. Consider any function ISBN: 9780321797056 284

## Solution for problem 5.10.3 Chapter 5.1

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems | 5th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Applied Partial Differential Equations with Fourier Series and Boundary Value Problems | 5th Edition

4 5 1 312 Reviews
25
0
Problem 5.10.3

(c) Fourier sine series of f(x) = x on the interval 0 x L 5.10.3. Consider any function f(x) defined for a x b. Approximate this function by a constant. Show that the best such constant (in the mean-square sense, i.e., minimizing the mean-square deviation) is the constant equal to the average of f(x) over the interval a x b.

Step-by-Step Solution:
Step 1 of 3

I I 1,1. \.i.Jl"'k /(;\h 1- \vi -J o,~ R.t-M.tM->~c,..l~tb c.)l(~ - ~ v"'Jv ~ - > I)\ t(. - ._ '\...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321797056

Since the solution to 5.10.3 from 5.1 chapter was answered, more than 228 students have viewed the full step-by-step answer. The answer to “(c) Fourier sine series of f(x) = x on the interval 0 x L 5.10.3. Consider any function f(x) defined for a x b. Approximate this function by a constant. Show that the best such constant (in the mean-square sense, i.e., minimizing the mean-square deviation) is the constant equal to the average of f(x) over the interval a x b.” is broken down into a number of easy to follow steps, and 60 words. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems was written by and is associated to the ISBN: 9780321797056. The full step-by-step solution to problem: 5.10.3 from chapter: 5.1 was answered by , our top Math solution expert on 01/25/18, 04:21PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 81 chapters, and 759 solutions. This textbook survival guide was created for the textbook: Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, edition: 5.

Unlock Textbook Solution