Using the Convolution Theorem, We Find That $\mathcal { L } ^ { - 1 } \left\{ 1 / \left( ( s + 1 ) \left( s ^ { 2 } + 1 \right) \right) \right\} =$

question 48

Multiple Choice

Using the convolution theorem, we find that $\mathcal { L } ^ { - 1 } \left\{ 1 / \left( ( s + 1 ) \left( s ^ { 2 } + 1 \right) \right) \right\} =$

• A) \(\left( e ^ { - t } + \sin t - \cos t \right) / 2\)
• B) \(\left( e ^ { t } + \sin t - \cos t \right) / 2\)
• C) \(\left( e ^ { - t } + \sin t + \cos t \right) / 2\)
• D) \(\left( e ^ { t } - \sin t - \cos t \right) / 2\)
• E) \(\left( e ^ { - t } - \sin t - \cos t \right) / 2\)

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Definitions:

Efficient Use Of Resources

The optimal allocation and utilization of resources to maximize productivity and minimize waste.

Input Price

Input Price refers to the cost of resources used in the production of goods or services, including materials, labor, and overhead, which can affect production costs and pricing strategies.

Output Price

The price at which a product or service is sold, often determined by market conditions or regulation.

Marginal Revenue Product

The additional revenue generated from using one more unit of a factor of production, holding all other factors constant.