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:

Equitable Mortgage

A mortgage subsequent to the first or legal mortgage. A mortgage of the mortgagor’s equity.

Covenant to Pay

An agreement in a contract where one party promises to pay a specified sum to another.

Original Mortgagor

is the initial borrower who takes out a mortgage loan secured by the property being mortgaged.

Hypothec

A legal term primarily used in civil law jurisdictions to describe a right or security interest granted over an asset to secure the repayment of a debt without transferring title.