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The Intercepts for Time and Location on a Sine Curve

See attached file.

A traveling wave on a wire is expressed by the equation: (1) y= .24 sin (11x - 16t).
Distances are in meters, times in seconds.

PART a. On a general sine curve that you see in ATTACHMENT #1, Show a properly located y axis for the graph of y(x) at t= .25 sec. Calculate and label the y intercept and three x intercepts.

PART b. On another sine curve that you see in ATTACHMENT #1, Show a properly located y axis for the graph of y(t) at x= .35 m. Calculate and label the y intercept and three t intercepts.

The curve below has no vertical axis. You are to show the y axis where it must be to satisfy the equation specified, and to give the y intercept at x=0, then calculate and show at least three x intercepts.

The curve below has no vertical axis. You are to show the y axis where it
must be to satisfy the equation specified, and to give the y intercept at t=0,
then calculate and show at least three time intercepts.

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Solution Preview

Note that the wave equation, y(x,t) is three dimensional because the value of y at any point on the wave depends on 'what time t' and also 'what location x'. At a particular time, then y is a function of x only, and ...

Solution Summary

With narrative and calculations, the problems are solved.

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