Set Up and Evaluate the Integral That Gives the Volume

question 45

Multiple Choice

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by and in the first quadrant about the -axis.

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Definitions:

Hypothalamus

A region of the brain below the thalamus that coordinates both the autonomic nervous system and the activity of the pituitary, controlling body temperature, thirst, hunger, and other homeostatic systems, and involved in sleep and emotional activity.

Pituitary Gland

A small, pea-sized gland located at the base of the brain, responsible for the production and regulation of many hormones that control various bodily functions.

Hippocampus

The hippocampus is a brain structure involved in the formation of new memories and is also associated with learning and emotions.

Fornix

A C-shaped structure in the brain, part of the limbic system, that acts as a major output tract of the hippocampus.