Approximate the Area Under the Curve and Above the X-Axis $$\mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } \text { from } x = 0 \text { to } x = 4 ; n = 4$$

question 46

Multiple Choice

Approximate the area under the curve and above the x-axis using n rectangles. Let the height of each rectangle be given
by the value of the function at the right side of the rectangle.
- $$\mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } \text { from } x = 0 \text { to } x = 4 ; n = 4$$

• A) 27
• B) 33
• C) 36
• D) 30

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Definitions:

Thalamus

Large mass of gray matter that forms the larger dorsal subdivision of the diencephalon.

Cerebral Cortex

The outer layer of neural tissue of the cerebrum of the brain in humans and other mammals, responsible for higher brain functions, including sensation, voluntary muscle movement, thought, reasoning, and memory.

Phasic Receptors

Sensory receptors that detect changes in stimulus intensity, adapting quickly and only responding to the onset and cessation of stimuli.

Primary Receptors

Sensory cells or nerve endings that respond directly to stimuli from the environment, such as light, sound, or chemicals.