Approximate the Area Under the Curve and Above the X-Axis $f ( x ) = x ^ { 2 } + 2 \text { from } x = 1 \text { to } x = 4 ; n = 6$

question 116

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.
- $f ( x ) = x ^ { 2 } + 2 \text { from } x = 1 \text { to } x = 4 ; n = 6$

• A) 24.875
• B) 26.875
• C) 30.875
• D) 28.875

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Definitions:

Anterior Lobe

The front portion of an organ or gland, which can refer specifically to a part of the pituitary gland that releases hormones controlling various physiological processes.

Pituitary Gland

A small endocrine gland in the brain that produces and releases hormones controlling growth, blood pressure, and other important body functions.

Hypothalamus

The hypothalamus is a region of the brain responsible for the regulation of certain metabolic processes and other activities of the autonomic nervous system, including temperature control, hunger, and thirst.

Insulin-Like Growth Factors

A group of proteins with similar structure to insulin that play an important role in growth and development.