Let the Position Function of a Particle Be $\mathbf { r } ( t ) = \left\langle t ^ { 2 } , 2 t , e ^ { t } \right\rangle$

question 28

Multiple Choice

Let the position function of a particle be $\mathbf { r } ( t ) = \left\langle t ^ { 2 } , 2 t , e ^ { t } \right\rangle$ . Find the velocity of the particle when t = 1.

• A) \(( 2,2,1 )\)
• B) \(( 2,2 , e )\)
• C) \((2,0,1 )\)
• D) \(( 2,0 , e )\)
• E) \(( 1,1,1 )\)
• F) \(( 1,1 , e )\)
• G) \(( 1,0,1 )\)
• H) \(( 1,0 , e )\)

---

Definitions:

Equitable Doctrine

Legal principles applied by courts to ensure fairness and justice, often used in cases where traditional laws might not provide a remedy.

Enforceable Agreement

An agreement that is legally binding and can be upheld in a court of law.

Parol Evidence Rule

The parol evidence rule is a legal principle that prevents parties from introducing outside oral or written statements to modify or contradict the terms of a written contract.

Yung-Kai Lu v. Univ. of Utah

A legal case, but without further context, it's unclear; this may refer to a specific legal dispute involving the University of Utah, typically involving issues of employment, discrimination, or academic policy.