Find the flux of F through S, ∫∫s F•N dS, where N is the upward unit normal vector to S.F(x,y,z)=(x+y)i+yj+zkS: z=64-x2-y2, z≥0 S.Find the flux of 7 through S, Nds, where is the upward unit normal vector toS SUS₂F(x,y,z)=(x+y)i+yj+zkS:z=64-x²-y², z 20●$60-50-40-30-20S

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Answered: Find the flux of 7 through S, [√7.Ñas,…

Find the flux of 7 through S, [√7.Ñas, S. F(x, y, z)=(x+y)i+yj+zk S:z=64-x²-1², z 20 •NdS, where N is the upward unit normal vector to S SUS₂ 2 60- 50- 40- 30- 20 کے

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 12CM

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Question

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Find the flux of F through S, ∫∫_s F•N dS, where N is the upward unit normal vector to S.
F(x,y,z)=(x+y)i+yj+zk
S: z=64-x²-y², z≥0

S.
Find the flux of 7 through S, Nds, where is the upward unit normal vector to
S SUS₂
F(x,y,z)=(x+y)i+yj+zk
S:z=64-x²-y², z 20
●
$
60-
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20
S

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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