1) The function u(x, t) = 3 sin (2x + t + pi/4) represents a travelling wave with height u at position x and time t. a) what is the waves speed  b) when t=0, at what x value does it reach its maximum height in the interval 0 ≤ x ≤ 2pi ? c) when t=pi/4, at what x value does it reach its maximum height in the interval 0 ≤ x ≤ 2pi ? e) when t=0, at what is its maximum height in the interval 0 ≤ x ≤ 2pi ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

1) The function u(x, t) = 3 sin (2x + t + pi/4) represents a travelling wave with height u at position x and time t.

a) what is the waves speed 

b) when t=0, at what x value does it reach its maximum height in the interval 0 ≤ x ≤ 2pi ?

c) when t=pi/4, at what x value does it reach its maximum height in the interval 0 ≤ x ≤ 2pi ?

e) when t=0, at what is its maximum height in the interval 0 ≤ x ≤ 2pi ?

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 1 steps with 1 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,