Use Stoke's Theorem to Evaluate $\iint _ { S } \mathbf { F } \cdot d r .$

question 113

Short Answer

Use Stoke's theorem to evaluate $\iint _ { S } \mathbf { F } \cdot d r .$ $\mathbf { F } ( x , y , z ) = 4 z \mathbf { i } + 2 x \mathbf { j } + 6 y \mathbf { k }$ C is the curve of intersection of the plane z = x + 9 and the cylinder $x ^ { 2 } + y ^ { 2 } = 9$

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Definitions:

Granules

Small particles or grains, often referring to the secretory vesicles found within cells, especially within the immune system's cells like basophils and neutrophils.

Platelets

Small blood cells that play a key role in blood clotting, helping prevent bleeding by clumping and forming plugs in blood vessel injuries.

Nucleus

The nucleus is an organelle found in eukaryotic cells that contains most of the cell's genetic material and controls its growth and reproduction.

Reproduce

means to produce offspring or new individuals, either sexually or asexually, ensuring the continuation of a species.