Let F(x) = X

question 261

Essay

Let f(x) = x
Use a Riemann sum with four subintervals of equal length (n = 4) to approximate the area of R (under the graph of f on the interval [0, 2]). Choose the representative points to be the left end points of the subintervals.
__________ sq units
Repeat previous part with eight subintervals of equal length (n = 8).
__________ sq units
Compare the approximations obtained in previous parts with the exact area (2 sq units). Do the approximations improve with larger n?

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Definitions:

Colostomy

A surgical procedure that creates an opening (stoma) in the abdomen to allow for the evacuation of feces into a collection bag outside the body.

Bowel Evacuation

The process of expelling waste material from the large intestine or bowel, commonly referred to as defecation.

Ostomy Pouch

An ostomy pouch is a medical device attached to the body to collect waste from a surgically created opening (stoma) in the abdomen, used for individuals with certain digestive or urinary tract diseases.

Pressure Ulcers

Localized damage to the skin and underlying tissue resulting from prolonged pressure on the skin, often occurring in bedridden or immobile individuals.