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ioda
3 years ago
13

When simplified completely, the product of a monomial and a monomial is _____ a monomial

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
8 0

Answer: Always

Step-by-step explanation:

sukhopar [10]3 years ago
6 0

im gonna say always a monomial ...

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By Stokes' theorem,

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Take S to be the ellipse that lies in the plane z=y+9 with boundary on the cylinder x^2+y^2=1. Parameterize S by

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\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S

=\displaystyle\int_0^{2\pi}\int_0^1\big((1-u\cos v)\,\vec\imath-\vec\jmath+(u\sin v+2)\,\vec k\big)\cdot\big(-u\,\vec\jmath+u\,\vec k\big)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^1(3u+u^2\sin v)\,\mathrm du\,\mathrm dv=\boxed{3\pi}

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Step-by-step explanation:

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