3 years ago

9. Which of the following could be the areas

Mathematics

2 answers:

Paha777 [63]3 years ago

7 0

Answer:

letter A po angsagot terror

kati45 [8]3 years ago

3 0

<h2>Hmm you might think I'm c.r.a.z.y but my answer is </h2><h2><u>A. 12 f12, 16 f12 and 20 f12</u></h2>

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Step-by-step explanation:

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diamong [38]

Parameterize $S$ by

$\vec r(u,v)=u\,\vec\imath+v\,\vec\jmath+(4-u^2-v^2)\,\vec k$

with $0\le u\le1$ and $0\le v\le1$ . Then

$\vec r_u\times\vec r_v=2u\,\vec\imath+2v\,\vec\jmath+\vec k$

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$\displaystyle=\int_0^1\int_0^1(uv\,\vec\imath+v(4-u^2-v^2)\,\vec\jmath+u(4-u^2-v^2)\,\vec k)\cdot(2u\,\vec\imath+2v\,\vec\jmath+\vec k)\,\mathrm du\,\mathrm dv$