Verify Your Results A) $4356 \pi$ B) $726 \pi$ C) $11 \pi$

question 3

Multiple Choice

$\text { Use Stokes's Theorem to evaluate } \int _ { C } \overrightarrow { \mathbf { F } } \cdot d \overrightarrow { \mathbf { r } } \text {.Use a computer algebra system to }$ verify your results. Note: C is oriented counterclockwise as viewed from above.
$\begin{array} { l } \overrightarrow { \mathbf { F } } ( x , y , z ) = 36 x z \hat { \mathbf { i } } + y \hat { \mathbf { j } } + 36 x y \hat { \mathbf { k } } \\S : z = 121 - x ^ { 2 } - y ^ { 2 } , z \geq 0\end{array}$

• A) \(4356 \pi\)
• B) \(726 \pi\)
• C) \(11 \pi\)
• D) \(121 \pi\)
• E) 0

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Definitions:

Puncture Wound

A puncture wound is a deep wound caused by a sharp, pointed object piercing the skin.

Fingernail Avulsion

The complete or partial tearing away of a nail from its nail bed, often due to trauma.

Blisters

Fluid-filled pockets that form on the skin's surface, often as a result of friction, burns, or other injuries.

Ragged Wound

A cut or tear that has irregular, jagged edges, often caused by a blunt trauma or an object tearing the skin forcefully.