Let ​ Use a Riemann Sum with Four Subintervals

question 289

Multiple Choice

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.
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Repeat previous part with eight subintervals of equal length ( ) .
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Compare the approximations obtained in previous parts with the exact area (4 sq units) . Do the approximations improve with larger n?
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• A) 4.8 sq units; 4.4 sq units; yes
• B) 4.4 sq units; 4.8 sq units; yes
• C) 4.8 sq units; 4.4 sq units; no
• D) 4.4 sq units; 4.8 sq units; no

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Definitions:

Units-Of-Production Method

An accounting method of depreciation that allocates cost based on the actual usage or production levels of the asset.

Depreciation Expense

An accounting method used to allocate the cost of a tangible asset over its useful life.

Machine Hours

A measure of the operating time of a machine, used in costing and budgeting to allocate expenses based on usage.

Units-Of-Production

A depreciation method that allocates the cost of an asset over its useful life based on the number of units it produces.