Solve the Problem $\int _ { 0 } ^ { 3 } ( 2 x + 6 ) d x$

question 259

Multiple Choice

Solve the problem.
-Estimate the minimum number of subintervals needed to approximate the integral $\int _ { 0 } ^ { 3 } ( 2 x + 6 ) d x$ with an error of magnitude less than $10 ^ { - 4 }$ using the Trapezoidal Rule.

• A) 3
• B) 1
• C) 0
• D) 2

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Definitions:

Negatively Sloped

A graphical representation showing a decrease in one variable as another variable increases, often used in the context of demand curves.

Total Surplus

The sum of consumer surplus and producer surplus, representing the total net benefit to society from the production and consumption of goods and services.

Producer Surplus

Producer surplus is the difference between what producers are willing to accept for a good or service versus what they actually receive, reflecting extra benefit.

Complements In Consumption

Goods that are often used together, where the increase in demand for one leads to an increase in demand for the other.