$\text { Find the open interval(s) on which the function } f ( x ) = \cos ^ { 2 } ( 2 x ) \text { is increasing in the }$

question 140

Multiple Choice

$\text { Find the open interval(s) on which the function } f ( x ) = \cos ^ { 2 } ( 2 x ) \text { is increasing in the }$ interval Round numerical values in your answer to three decimal places.

• A) increasing on: \(( 0.785,2.571 ) , ( 2.356,3.142 ) , ( 4.927,4.712 ) , ( 5.498,6.283 )\)
• B) increasing on: \(( 2.356,3.142 ) , ( 3.927,4.712 ) , ( 5.498,6.283 ) , ( 0.785,1.571 )\)
• C) increasing on: \(( 3.142,3.927 ) , ( 1.571,2.356 ) , ( 4.712,5.498 ) , ( 0,6.283 )\)
• D) increasing on: \(( 0,0.785 ) ( 1.571,2.356 ) , ( 3.142,3.927 ) , ( 4.712,5.498 )\)
• E) increasing on: \(( 0.785,1.571 ) , ( 2.356,3.142 ) , ( 3.927,4.712 ) , ( 5.498,6.283 )\)

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Definitions:

Specialized Cells

Cells that are adapted to perform specific functions within an organism.

Neurons

Specialized cells in the nervous system that transmit information to other nerve cells, muscle, or gland cells.

Sensory Neurons

Neurons responsible for converting external stimuli from the organism's environment into internal electrical impulses.

Receptor Cells

Specialized cells found in the sense organs (e.g., eyes, ears) that respond to specific stimuli like light, sound, or chemicals and convert them into neural signals.