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

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:

Spinal Cord

Central nervous system organ that extends through the backbone and connects peripheral nerves with the brain.

Peripheral Nerves

Nerves located outside the brain and spinal cord that connect the central nervous system to limbs and organs.

Brain

Central control organ of a nervous system; receives and integrates sensory information, regulates internal conditions, and sends out signals that result in movements.

Voltage-gated Sodium

Channels that open or close in response to changes in membrane potential, allowing sodium ions to enter or exit cells, critical for the generation and conduction of electrical signals in neurons.