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

question 107

Multiple Choice

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

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

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Definitions:

Price Elasticity

A measure indicating the degree to which product demand is affected by price shifts.

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a given price over a specified period.

Price Increase

A Price Increase refers to a rise in the cost of goods or services that can occur due to various factors like inflation, increased production costs, or higher demand.

Immediate Market Period

A very short time frame in economics during which the supply of a good is completely fixed and cannot respond to changes in demand.