Determine Whether the Improper Integral Diverges or Converges $\int _ { - \infty } ^ { 0 } e ^ { 6 x } d x$

question 48

Multiple Choice

Determine whether the improper integral diverges or converges. Evaluate the integral if it converges. $\int _ { - \infty } ^ { 0 } e ^ { 6 x } d x$

• A)converges to 0
• B)converges to 6
• C)converges to \(\frac { 1 } { 6 }\)
• D)diverges to \(- \infty\)
• E)diverges to \(\infty\)

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Definitions:

Economic Loss

The difference between the revenues received from the sale of an output and the opportunity cost of the inputs used.

Average Variable Cost

The variable cost per unit of output, obtained by dividing the total variable cost by the total output.

Marginal Cost

The change in total production cost that comes from making or producing one additional unit.

Shut Down

A short-term decision by a firm to cease operations and production when the market price is below its variable costs, to minimize losses.