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Let z=exsinyz = e ^ { x } \sin y , and Let

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Let z=exsinyz = e ^ { x } \sin y , and let xx and yy be functions of SS and tt with x(0,0) =0,y(0,0) =0x ( 0,0 ) = 0 , y ( 0,0 ) = 0 , δx/δs=3\delta x / \delta s = 3 , and δy/δs=4\delta y / \delta s = 4 at (s,t) =(0,0) ( s , t ) = ( 0,0 ) . Find δz/δ s \delta z /\delta\text { s } when (s,t) =(0,0) ( s , t ) = ( 0,0 ) .


Definitions:

Sensory Threshold

The minimum level of intensity at which a stimulus can be detected by the senses.

Rods

Photoreceptor cells in the retina of the eye that are responsible for vision at low light levels.

Absolute Sensory Threshold

The minimum stimulus intensity required for detection by a sensory system.

Stimulus

Anything that triggers a sensory or behavioral reaction in a living organism.

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