For the Given Functions F(x) and G(x), Find F(x) ∙ $$f ( x ) = 5 x ^ { 6 } , g ( x ) = - 4 x ^ { 4 } + 8 x ^ { 2 } - 1$$

question 61

Multiple Choice

For the given functions f(x) and g(x) , find f(x) ∙ g(x) .
- $$f ( x ) = 5 x ^ { 6 } , g ( x ) = - 4 x ^ { 4 } + 8 x ^ { 2 } - 1$$

• A) \(- 20 x ^ { 4 } + 40 x ^ { 2 } - 5\)
• B) \(- 20 x ^ { 10 } + 8 x ^ { 2 } - 1\)
• C) \(- 20 x ^ { 10 } + 40 x ^ { 8 }\)
• D) \(- 20 x ^ { 10 } + 40 x ^ { 8 } - 5 x ^ { 6 }\)

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Definitions:

Touch Receptors

Sensory receptors in the skin that detect tactile stimuli, enabling the sensation of touch, pressure, and vibration.

Primary Somatosensory Cortex

The primary somatosensory cortex is a region of the cerebral cortex that processes sensory input from the body, allowing for the perception of touch, temperature, pain, and body position.

Motor Cortex

A region of the cerebral cortex involved in planning, controlling, and executing voluntary movements.

Sensory Adaptation

The process by which sensory receptors become less sensitive to constant stimuli over time.