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raketka [301]
3 years ago
11

Zack and Mandy are comparing results from a 2-day lab experiment. On Monday, Zack’s results showed that 0.891 of the particles w

ere charged while Mandy’s results showed that 81% of the particles were charged. On Tuesday, Zack’s results showed that 0.776 of the particles were charged while Mandy’s results showed that 82% of the particles were charged. Who on what day had the greatest percentage of charged particles in their experiment.
A.) zack on monday
B.) zack on tuesday
C.) Mandy on monday
D.) Mandy on tuesday
Mathematics
1 answer:
mafiozo [28]3 years ago
6 0
It would be A because0.891 is 89% which is bigger than 81%,82%,and 78%
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\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath

with 0\le u\le\sqrt3 and 0\le v\le2\pi. Take the normal to D to be

\vec s_v\times\vec s_u=-u\,\vec k

Then the downward flux of \vec F through D is

\displaystyle\int_0^{2\pi}\int_0^{\sqrt3}(2\,\vec k)\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv=-2\int_0^{2\pi}\int_0^{\sqrt3}u\,\mathrm du\,\mathrm dv

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2\displaystyle\iiint_H\mathrm dV

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\displaystyle2\int_0^{\pi/2}\int_0^{2\pi}\int_0^{\sqrt3}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=4\sqrt3\pi

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