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Three Traveling Sinusoidal Waves Are on Identical Strings, with the Same

question 75

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Three traveling sinusoidal waves are on identical strings, with the same tension. The mathematical forms of the waves are y1(x,t) = ymsin(3x - 6t) , y2(x,t) = ymsin(4x - 8t) , and y3(x,t) = ymsin(6x - 12t) , where x is in meters and t is in seconds. Match each mathematical form to the appropriate graph below. Three traveling sinusoidal waves are on identical strings, with the same tension. The mathematical forms of the waves are y<sub>1</sub>(x,t)  = y<sub>m</sub>sin(3x - 6t) , y<sub>2</sub>(x,t)  = y<sub>m</sub>sin(4x - 8t) , and y<sub>3</sub>(x,t)  = y<sub>m</sub>sin(6x - 12t) , where x is in meters and t is in seconds. Match each mathematical form to the appropriate graph below.   A)  y<sub>1</sub>: i, y<sub>2</sub>: ii, y<sub>3</sub>: iii B)  y<sub>1</sub>: iii, y<sub>2</sub>: ii, y<sub>3</sub>: i C)  y<sub>1</sub>:i, y<sub>2</sub>: iii, y<sub>3</sub>: ii D)  y<sub>1</sub>: ii, y<sub>2</sub>: i, y<sub>3</sub>: iii E)  y<sub>1</sub>: iii, y<sub>2</sub>: i, y<sub>3</sub>: ii


Definitions:

Denialism

The refusal to accept well-established facts or evidence, often in the context of scientific or historical truths.

Cognitive Inertia

The tendency of human minds to stick to existing thought patterns or beliefs, resisting changes even in the face of new information.

Significant Result

In statistical analysis, a result that is unlikely to have occurred by chance alone, according to a predefined threshold of probability, indicating a meaningful difference or relationship.

Repetitions

The act or process of doing or saying something again, often to learn or reinforce.

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