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

---

Definitions:

Abdominal Swelling

An increase in the size or bulge of the abdomen, which can be due to various medical conditions including gas, fluid accumulation, or organ enlargement.

Hypotension

A condition characterized by abnormally low blood pressure, which can lead to symptoms like dizziness and fainting.

Stomatitis

Inflammation of the mouth and lips, which can cause soreness, ulcers, and swelling.