Surface of a Machine Part Is the Region Between the Graphs

question 104

Multiple Choice

surface of a machine part is the region between the graphs of $y _ { 1 } = | x | \text { and }$ $y _ { 2 } = 0.100 x ^ { 2 } + 2.500$ as shown in the figure. Find the area of the surface of the machine part. Round your answer to five decimal places.

• A) \(1.66667\)
• B) \(0.41667\)
• C) \(0.01333\)
• D) \(33.33333\)
• E) \(8.33333\)

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Definitions:

Lateral Ventricle

One of the two ventricles located in the cerebral hemispheres, part of the brain's ventricular system where cerebrospinal fluid is produced and circulates.

Fourth Ventricle

A chamber of the brain located within the brainstem, responsible for circulating cerebrospinal fluid between the brain's interior and spinal canal.

Choroid Plexus

Specialized plexus located within the ventricles of the brain that secretes cerebrospinal fluid.

Arachnoid Granulation

Protrusions of the arachnoid meningeal layer into the dural venous sinuses, allowing cerebrospinal fluid to return to the bloodstream.