For the Following Integral, Say Whether Stokes' Theorem, the Divergence $\hat { Q } \left( - 5 x \vec { i } + z \vec { j } + 4 y ^ { 3 } \vec { k } \right) \times \vec { d A }$

question 59

Multiple Choice

For the following integral, say whether Stokes' Theorem, the Divergence Theorem, or neither applies. $\hat { Q } \left( - 5 x \vec { i } + z \vec { j } + 4 y ^ { 3 } \vec { k } \right) \times \vec { d A }$ where S is the sphere of radius $4$ centered at the origin oriented $\text { outw and }$

• A)Stokes' Theorem
• B)Divergence Theorem.
• C)Neither

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Definitions:

Iris

The colored part of the eye surrounding the pupil, responsible for controlling the diameter and size of the pupil and thus the amount of light reaching the retina.

White

A color perceived when light contains all the wavelengths of the visible spectrum at equal intensity.

Colored Part

Referring to the iris, the colored portion of the eye surrounding the pupil that controls the amount of light entering the eye.

Cornea

The clear, transparent front covering of the eye that allows light to enter and contributes to the eye's focusing power.