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 ?
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
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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 ?
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