Evaluate the Following Iterated Integral $\int _ { 5 } ^ { 8 } \int _ { 1 } ^ { \sqrt { x } } 2 y e ^ { - x } d y d x$

question 84

Multiple Choice

Evaluate the following iterated integral. $\int _ { 5 } ^ { 8 } \int _ { 1 } ^ { \sqrt { x } } 2 y e ^ { - x } d y d x$

• A) \(5 e ^ { 5 } - 8 e ^ { 8 }\)
• B) \(5 e ^ { - 5 } - 8 e ^ { - 8 }\)
• C) \(5 e ^ { - \sqrt { 5 } } - 8 e ^ { - \sqrt { 8 } }\)
• D) \(5 e ^ { - 5 } + 8 e ^ { - 8 }\)
• E) \(8 e ^ { - 8 } - 5 e ^ { - 5 }\)

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Definitions:

Direct Cost

A cost that can be easily and conveniently traced to a specified cost object.

Prime Cost

Direct materials cost plus direct labor cost.

Direct Labor

Work done by employees that can be directly traced to the production of goods or services, as opposed to indirect labor involved in support activities.

Direct Materials

The raw materials that are directly traceable to the manufacturing of a product and are an integral part of the finished product.