Let ​ Use a Riemann Sum with Four Subintervals of Equal Length

question 72

Short Answer

Let ​
Use a Riemann sum with four subintervals of equal length 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 .
​
__________ sq units
​
Compare the approximations obtained in previous parts with the exact area (14 sq units). Do the approximations improve with larger n?

---

Definitions:

Par Value

The face value of a bond or stock as stated by the issuing company, which does not necessarily match its market value.

Stated Value

An arbitrary value assigned to no-par value stock by the board of directors of a company, used for accounting purposes.

Date Of Record

The date of record is the specific date set by a company on which the shareholders must be on the company's books in order to receive a declared dividend.

Cash Dividend

The allocation of earnings in cash form by a company to its stockholders.