Evaluate the Integral by Changing the Order of Integration in an Appropriate

question 350

Multiple Choice

Evaluate the integral by changing the order of integration in an appropriate way.
- $$\int _ { 0 } ^ { \infty } \int _ { 0 } ^ { 21 } \int _ { y / 3 } ^ { 7 } e ^ { - \left( x ^ { 2 } + z \right) } d x d y d z$$

• A) \(\frac { 3 } { 4 } \left( 1 - e ^ { - 56 } \right)\)
• B) \(\frac { 3 } { 4 } \left( 1 - \mathrm { e } ^ { - 49 } \right)\)
• C) \(\frac { 3 } { 2 } \left( 1 - \mathrm { e } ^ { - 49 } \right)\)
• D) \(\frac { 3 } { 2 } \left( 1 - e ^ { - 56 } \right)\)

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Definitions:

FIFO Inventory

FIFO Inventory, or First-In, First-Out, is an inventory valuation method where the goods first purchased or produced are the first to be sold.

LIFO Reserve

The difference between the cost of inventory calculated under the Last In, First Out (LIFO) method and its cost calculated under the First In, First Out (FIFO) method.

Income Changes

Alterations in a company's earnings or an individual's income, which may result from different factors like operational adjustments, market conditions, or policy changes.

Inventory Levels

Inventory levels refer to the quantity of goods and materials on hand at any given time within a business.