Solved: Water waves A snapshot of a water wave moving

Chapter 12, Problem 44

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Water waves A snapshot of a water wave moving toward shore is described by the function z = 10 sin 12x - 3y2, where z is the height of the water surface above (or below) the xy@plane, which is the level of undisturbed water. a. Graph the height function using the window 3-5, 54 * 3-5, 54 * 3-15, 154. b. For what values of x and y is z defined? c. What are the maximum and minimum values of the water height? d. Give a vector in the xy@plane that is orthogonal to the level curves of the crests and troughs of the wave (which is parallel to the direction of wave propagation).

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