For supplement problem 2 K-4, we are asked to
1)interpret physically the solution of w = f(x+ct)
2)say what f(x) represents and
3)state the relation of f(x+ct) to f(x)
For (1) is it fair to say that f(x+ct) represents a wave travelling in the negative x direction? My answer for (2) is that is represents a 'snapshot' of the wave at t = 0 and for (3), f(x+ct) is a translation of f(x) in the negative x direction by magnitude ct. Are there any other interpretations?
OCW Scholar - Multivariable Calculus
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
i don't have access to the supplement you mention but i would certainly agree broadly with your descriptions
you can get the travelling wave equation from a Galilean transformation:
so you can also look at the differences that are highlighted by describing frames of reference. so y = f(x) is what the guy sitting riding the wave sees, y = f(x - vt) is what the observor at rest (lying on the beach drinking beer!) sees.