Let $\vec { F } = \left( 9 x ^ { 2 } + 6 y \cos ( x y ) \right) \vec { i } + ( 2 y + 6 x \cos ( x y ) ) \vec { j }$

question 6

Short Answer

Let $\vec { F } = \left( 9 x ^ { 2 } + 6 y \cos ( x y ) \right) \vec { i } + ( 2 y + 6 x \cos ( x y ) ) \vec { j }$ .
Calculate $\int_{C} \overline{\vec{F}} \cdot \overline{d r}$ where C is the curve shown below.

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Definitions:

Fraudulent Misrepresentation

A false statement made knowingly or recklessly with the intent to deceive, leading to a contract or transaction.

Misrepresentation

Misrepresentation refers to a false statement of fact made by one party to another, which induces that other party into entering a contract.

Undue Influence

A situation where an individual is persuaded or coerced in a way that disrupts their free will, often leading to unfair agreements.

Non Est Factum

A defense in contract law that allows a person to avoid liability because they were mistaken about the nature of the document signed, not merely its contents.