Find the Length of the Curve $$y = \frac { 1 } { 6 } \left( x ^ { 2 } + 4 \right) ^ { 3 / 2 } , 0 \leq x \leq 4$$

question 77

Multiple Choice

Find the length of the curve.
$$y = \frac { 1 } { 6 } \left( x ^ { 2 } + 4 \right) ^ { 3 / 2 } , 0 \leq x \leq 4$$

• A) \(15.3333\)
• B) \(14.3333\)
• C) \(14.0000\)
• D) \(14.6667\)
• E) \(13.6667\)

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Definitions:

Utility Function

Represents the relationship between the quantities of goods consumed and the level of happiness or utility derived from them.

Initial Endowment

The initial allocation of resources or goods that an individual or firm has before any trade takes place in an economic model.

Initial Endowment

The initial quantity of goods, services, or resources an individual, firm, or economy possesses.

Pareto Efficient

A state of allocation where it is impossible to make any one individual better off without making at least one individual worse off.