Alert for not submit AI generated answer. I need unique and correct answer. Don't try to copy from anywhere. Do not give answer in image formet and hand writing 1. Consider an elastic string of length 6 whose ends are held fixed. the stringis set in motion with no initial velocity from an initial position,u(x,0) = f(x) = {The constant representing the propagation speed is a = 2.(a) Find the the displacement of the string, u(x, t), for time t > 0.(b) use Desmos to animate a partial sum of the solution (for n =the solution in t.100)2x, 0≤x≤ 4-4x+24, 4< x≤ 6 ·(c) Draw a sketch of the solution when t=9 for 0≤x≤ 6.

Answered: Consider an elastic string of length 6…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Alert for not submit AI generated answer. I need unique and correct answer. Don't try to copy from anywhere. Do not give answer in image formet and hand writing

1. Consider an elastic string of length 6 whose ends are held fixed. the string
is set in motion with no initial velocity from an initial position,
u(x,0) = f(x) = {
The constant representing the propagation speed is a = 2.
(a) Find the the displacement of the string, u(x, t), for time t > 0.
(b) use Desmos to animate a partial sum of the solution (for n =
the solution in t.
100)
2x, 0≤x≤ 4
-4x+24, 4< x≤ 6 ·
(c) Draw a sketch of the solution when t
=
9 for 0≤x≤ 6.

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Alert for not submit AI generated answer. I need unique and correct answer. Don't try to copy from anywhere. Do not give answer in image formet and hand writing

2. For the same string as in the above problem with the same initial position,
assume the string has initial velocity
{
u₁(x,0) = g(x) =
0, 0<x<3
15, 3≤x≤5,
0, 5< x≤6
(a) Find the the displacement of the string, u(x, t), for time t > 0.
(b) use Desmos to animate a partial sum of the solution (for n = 100)
the solution in t.
(c) Draw a sketch of the solution when t = 9 for 0 ≤ x ≤ 6.

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