Solve for X $e ^ { 4 x ^ { 2 } }$

question 41

Multiple Choice

Solve for x.
- $e ^ { 4 x ^ { 2 } }$ + $e ^ { ( 2 x ) ^ { 2 } }$ = 6

• A) x = ± \(\frac { \sqrt { \ln 3 } } { 2 }\)
• B) x = \(\frac { 1 } { 2 }\) ln \(\frac { 1 } { 2 }\)
• C) x = ± \(\frac { 1 } { 4 }\) \(\sqrt { \ln 6 }\)
• D) x = ± \(\frac { 1 } { 2 }\) \(\sqrt { \ln 6 }\)

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Definitions:

Average Total Cost

The total cost of production divided by the quantity produced, representing the average cost per unit of output.

Marginal Cost

The added cost incurred by producing one additional unit of a product or service.

Profit-Maximizing

The process or strategy of increasing the profit of an entity to its highest possible level under prevailing circumstances.

Nondiscriminating Monopolist

A monopolist who charges all consumers the same price for its product regardless of the consumer's willingness or ability to pay more.