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Find the Flux of the Curl of Field F Through

question 239

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Find the flux of the curl of field F through the shell S.
- F=5yi+2xj+cos(z) k;S:r(r,θ) =2sinφcosθi+2sinφsinθj+2cosφk,0θ2π\mathbf { F } = 5 \mathrm { y } \mathbf { i } + 2 \mathrm { x } \mathbf { j } + \cos ( \mathrm { z } ) \mathbf { k } ; \mathrm { S } : \mathbf { r } ( \mathrm { r } , \theta ) = 2 \sin \varphi \cos \theta \mathbf { i } + 2 \sin \varphi \sin \theta \mathbf { j } + 2 \cos \varphi \mathbf { k } , 0 \leq \theta \leq 2 \pi and 0φπ20 \leq \varphi \leq \frac { \pi } { 2 }

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Creditor

An individual or entity that is owed money or claims to be owed money by another entity, known as the debtor.

Bounced Check

A check that cannot be honored due to insufficient funds in the account it was issued on.

Insufficient Funds

A situation where an account does not have enough money available to cover transactions.

Stop-Payment Order

An instruction given to a bank to not honor a check or payment that has been issued, but not yet cashed or withdrawn.

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