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lecture notes 16.6-16.9 (1)

# 2 find the area of the surface plane that lies under

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Unformatted text preview: ) Find the area of the surface plane that lies under the 4 (3) Find the area of a sphere of radius . 5 16.7 Surface integral )( Suppose S: ( function over S is ∬ ( ) . Then the surface integral of a ) (( ∬ )) | Remark: ( ). (1) ∬ ( (2) Suppose S is the graph of ∬ ∬ ( ( 6 ). Then ))√ | Examples (1) Suppose S is the cylinder . Evaluate ∬ . Evaluate ∬ (2) Let S: 7 . )( Suppose a surface S: ( ) , is oriented (i.e., for each point on S there is a unit normal vector n, defined in a consistent way. Remarks (1) | | or | | (2) If S is a simple closed surface, n is usually taken to be outward. Examples (1) If...
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