Let F(x) = 8x Use a Riemann Sum with Four

question 3

Multiple Choice

Let f(x) = 8x 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.
Repeat previous part with eight subintervals of equal length (n = 8) .
Compare the approximations obtained in previous parts with the exact area (16 sq units) . Do the approximations improve with larger n?

• A) 14 sq units; 12 sq units; yes
• B) 14 sq units; 12 sq units; no
• C) 12 sq units; 14 sq units; no
• D) 12 sq units; 14 sq units; yes

---

Definitions:

Price Controls

Government-imposed limits on the prices that can be charged for goods and services in the market to restrain prices to a certain level.

Economic Activity

Actions that involve the production, distribution, and consumption of goods and services within an economy.

Resource Allocation

The process of assigning available resources to specific uses chosen among many possible and competing alternatives.

Price Controls

Government-imposed limits on the prices that can be charged for goods and services in the market to control inflation or ensure affordability.