Find $\operatorname { div } ( \operatorname { curl } \mathbf { F } ) = \nabla \cdot ( \nabla \times \mathbf { F } ) \text { for the vector field given by }$

question 30

Multiple Choice

Find $\operatorname { div } ( \operatorname { curl } \mathbf { F } ) = \nabla \cdot ( \nabla \times \mathbf { F } ) \text { for the vector field given by }$ $\mathbf { F } ( x , y , z ) = x ^ { 8 } z \mathbf { i } - 2 x z \mathbf { j } + y z \mathbf { k }$

• A) 65
• B) 129
• C) 8
• D) 0
• E) 3

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Definitions:

Condition Precedent

A contractual condition that must be fulfilled before a party’s performance is required under a contract.

Anticipatory Breach

A situation where one party indicates they will not fulfill their contractual obligations before the performance is due, allowing the other party to seek legal remedies.

Materially Breached

Occurs when one party fails to perform their obligations under a contract in such a way that it affects the very essence of the agreement.

Compensatory Order

A compensatory order is a legal direction to pay restitution, typically in civil litigation, designed to cover the loss or injury suffered by a plaintiff.