Use Stokes' Theorem to Evaluate $\iint _ { S } \operatorname { cur } \mathbf { F } \cdot d \mathbf { S }$

question 103

Short Answer

Use Stokes' Theorem to evaluate $\iint _ { S } \operatorname { cur } \mathbf { F } \cdot d \mathbf { S }$ . $\mathbf { F } ( x , y , z ) = 4 x y \mathbf { i } + 5 y z \mathbf { j } + 2 z ^ { 2 } \mathbf { k }$ ;
S is the part of the ellipsoid $9 x ^ { 2 } + 9 y ^ { 2 } + 4 z ^ { 2 } = 36$ lying above the xy-plane and oriented with normal pointing upward.

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Body Organ

A part of the body that performs a specific function or group of functions, such as the heart, liver, or lungs.

Rod

One of the rod-shaped, light-sensitive cells of the retina that are particularly sensitive to dim light and mediate black-and-white vision. Compare with cone.

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The overall perception of taste, aroma, and mouthfeel experienced when consuming a food or beverage.

Sound Wave

A wave of compression and rarefaction, by which sound is propagated in an elastic medium such as air, water, or solid materials.