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baherus [9]
2 years ago
9

The average person drinks 1 pint of milk a day. At this rate, how many gallons will a person drink in a leap year (366 days)...A

. 45 GALLONS , B.45 1/2, C. 45 3/4, and D. 46 gallons.
Mathematics
2 answers:
rosijanka [135]2 years ago
4 0
The correct answer is C. 45 3/4 or 45.75 gallons of milk in one leap year.

1 Pint = 0.12500000713 Gallons.

forsale [732]2 years ago
3 0
The answer is 45 3/4
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Let f(x,y,z) = ztan-1(y2) i + z3ln(x2 + 1) j + z k. find the flux of f across the part of the paraboloid x2 + y2 + z = 3 that li
Sophie [7]
Consider the closed region V bounded simultaneously by the paraboloid and plane, jointly denoted S. By the divergence theorem,

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\displaystyle\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\iiint_V\mathrm dV
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Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by D, we have

\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-\iint_D\mathbf f\cdot\mathrm dS

Parameterize D by

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\displaystyle\iint_D\mathbf f\cdot\mathrm dS=\int_{u=0}^{u=1}\int_{v=0}^{v=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(-u\,\mathbf k)\,\mathrm dv\,\mathrm du
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\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-(-2\pi)=\dfrac{5\pi}2
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