Use a Finite Approximation to Estimate the Area Under the Graph

question 92

Multiple Choice

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.
- $$f ( x ) = x ^ { 2 } \text { between } x = 4 \text { and } x = 8 \text { using an upper sum with four rectangles of equal width. }$$

• A) 174
• B) 165
• C) 149
• D) 126

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Definitions:

Income

The amount of money or value received, often measured annually, from work, investments, business, etc., used to support oneself or a family.

Perfect Substitutes

Goods for which the indifference curves are straight lines; the marginal rate of substitution of one good in place of another good is constant, regardless of how much of each an individual consumes.

Consumer Equilibrium

A state where an individual consumer has optimized their utility, given their budget constraints, choosing the best possible goods or service mix.

Budget Constraint

The limits placed on the consumption choices of individuals by their income and the prices of goods and services.