Let and Compute the Riemann Sum of F Over

question 276

Multiple Choice

Let and compute the Riemann sum of f over the interval [1, 2] , using Two subintervals of equal length (n = 2) .
Five subintervals of equal length (n = 5) .
Ten subintervals of equal length (n = 10) .
In each case, choose the representative points to be the midpoints of the subintervals.

• A) 7.47 sq units; 7.4925 sq units; 7.3125 sq units;
• B) 7.4925 sq units; 7.47 sq units; 7.3125 sq units;
• C) 7.3125 sq units; 7.4925 sq units; 7.47 sq units;
• D) 7.3125 sq units; 7.47 sq units; 7.4925 sq units;

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Definitions:

APC (Average Propensity to Consume)

The fraction of income that households plan to spend on goods and services; it is the ratio of total consumption to total disposable income.

Disposable Income

Refers to the amount of money that households have available for spending and saving after income taxes have been accounted for.

APS (Average Propensity to Save)

The fraction of total income that is saved by the average household.

Disposable Income

The amount of money an individual or household has to spend or save after income taxes have been deducted.