Solve the Problem $x , 0$ ) To $( 0 , y )$

question 323

Essay

Solve the problem.
-You are planning to close off a corner of the first quadrant with a line segment 17 units long running from ( $x , 0$ ) to $( 0 , y )$ . Show that the area of the triangle enclosed by the segment is largest when $x = y$ .

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Definitions:

Sensory Receptor Cells

Specialized cells that detect and respond to specific stimuli from the external or internal environment, converting them into electrical impulses.

Transduction

The process of converting one form of energy into another, especially in sensory systems where physical stimuli are converted into nerve signals.

Absolute Threshold

The minimum stimulus intensity that can be detected by a sensory system at least 50% of the time.

Signal Detection Theory

A theory predicting how and when we detect the presence of a faint stimulus (signal) amid background stimulation (noise). Assumes there is no single absolute threshold and that detection depends partly on a person’s experience, expectations, motivation, and alertness.