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

question 67

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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:

Habituation

A psychological learning process wherein there is a decrease in response to a stimulus after being repeatedly exposed to it.

Acquisition Behavior

A behavioral psychology term referring to the process of learning new behaviors, often through conditioning.

Classical Conditioning

A learning process that occurs when two stimuli are repeatedly paired: a response which is at first elicited by the second stimulus is eventually elicited by the first stimulus alone.

Ivan Pavlov

A Russian physiologist known for his research on classical conditioning, demonstrating how organisms can learn to associate neutral stimuli with reflexive responses.

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