Find the 5th Term in the Binomial Expansion $$( a + \sqrt { 3 } t ) ^ { 9 }$$

question 237

Multiple Choice

Find the 5th term in the binomial expansion. $$( a + \sqrt { 3 } t ) ^ { 9 }$$

• A) \(\quad 126 a ^ { 5 } t ^ { 4 }\)
• B) \(\quad 2,536 a ^ { 6 } t ^ { 3 }\)
• C) \(\quad 2,536 a ^ { 5 } t ^ { 4 }\)
• D) \(\quad 1,134 a ^ { 4 } t ^ { 5 }\)
• E) \(\quad 1,134 a ^ { 5 } t ^ { 4 }\)

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Definitions:

Shifting Burden of Proof

A legal principle where the duty to prove or disprove a fact shifts from one party to another during the course of a legal proceeding.

Res Ipsa Loquitur

A legal doctrine that infers negligence from the very nature of an accident or injury in the absence of direct evidence on how any defendant behaved.

Finding of Negligence

A determination in law that an individual or organization failed to act with care, resulting in harm to another party.

Last-Clear-Chance Doctrine

A doctrine used by a plaintiff when the defendant establishes contributory negligence. If the plaintiff can establish that the defendant had the last opportunity to avoid the accident, the plaintiff may still recover, despite being contributorily negligent.