Use a Computer Algebra System to Compute the Flux Of \mathbf

question 66

Multiple Choice

Use a computer algebra system to compute the flux of $\mathbf { F }$ across $S . S$ is the surface of the cube cut from the first octant by the planes
$$\begin{array} { l } x = \frac { \pi } { 2 } , y = \frac { \pi } { 2 } , z = \frac { \pi } { 2 } \\\mathbf { F } ( x , y , z ) = 3 \sin x \cos ^ { 2 } y \mathbf { i } + 3 \sin ^ { 3 } y \cos ^ { 4 } z \mathbf { j } + 3 \sin ^ { 5 } z \cos ^ { 6 } x \mathbf { k }\end{array}$$
Select the correct answer.

• A) \(\frac { 3 \pi ^ { 2 } } { 64 }\)
• B) \(\frac { 57 \pi ^ { 2 } } { 64 }\)
• C) \(57 \pi ^ { 2 }\)
• D) \(\frac { 57 \pi ^ { 2 } } { 32 }\)
• E) \(3 \pi ^ { 2 }\)

---

Definitions:

Health Administration

The field and practice of overseeing and managing healthcare systems, hospitals, and other health services organizations.

Misfeasance

The performance of a lawful action in an illegal or improper manner.

Informed Consent

A process whereby a patient or participant agrees to a medical procedure or participation in research after understanding its risks, benefits, and alternatives.

Prevent Lawsuits

Strategies or measures taken to avoid legal actions being brought against an individual, organization, or company.