Find the Arc Length of the Curve on the Given $x = t ^ { 2 } , y = 8 t , 0 \leq t \leq 4$

question 1

Multiple Choice

Find the arc length of the curve on the given interval. $x = t ^ { 2 } , y = 8 t , 0 \leq t \leq 4$

• A) \(4 ( \sqrt { 2 } + \ln \sqrt { 2 } + \ln ( 2 + \sqrt { 2 } ) )\)
• B) \(4 ( \sqrt { 2 } - \ln \sqrt { 2 } + \ln ( 2 + \sqrt { 2 } ) )\)
• C) \(4 ( \sqrt { 2 } + \ln ( 2 + \sqrt { 2 } ) )\)
• D) \(16 ( \sqrt { 2 } - \ln \sqrt { 2 } + \ln ( 2 + \sqrt { 2 } ) )\)
• E) \(16 ( \sqrt { 2 } + \ln \sqrt { 2 } + \ln ( 2 + \sqrt { 2 } ) )\)

---

Definitions:

Internet

A global network of interconnected computers that enables users to share information and communicate over vast distances.

Unexamined Ethnic Identity

A stage or condition where an individual has not critically explored or reflected upon their own ethnic heritage and cultural identity.

Cultural Practices

The shared activities, traditions, rituals, and customs that characterize a culture or social group.

Ethnic Majority

The group within a given population or society that comprises the majority of members sharing the same cultural, linguistic, or racial background.