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nexus9112 [7]
3 years ago
5

Simplify: (4x2 - 9x + 11)(x - 6)

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
7 0

Answer:

It's option B. 4x^3 - 33x^2 + 65x - 66

See the attached image for my work:

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Calculate :

\frac{1}{10}  \times  \frac{17}{18}  =  \frac{1 \times 17}{10 \times 18}  =  \frac{17}{180}

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Find the area of the part of the paraboloid z = 9 - x^2 - y^2 that lies above the xy-plane.
svetoff [14.1K]

Parameterize this surface (call it S) by

\vec r(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(9-u^2)\,\vec k

with 0\le u\le3 and 0\le v\le2\pi. Take the normal vector to S to be

\vec r_u\times\vec r_v=2u^2\cos v\,\vec\imath+2u^2\sin v\,\vec\jmath+u\,\vec k

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\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv

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Find the missing side of the triangle. Round to nearest tenth if needed.
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For this case we have the following system of equations:

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Multiplying the equation 1 by 2, we have:

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6x ^ 2 - 8y ^ 2 = 50\\-6x ^ 2 - 2y ^ 2 = 11

Answer:

A system that is equivalent is:

D) 6x ^ 2 - 8y ^ 2 = 50\\-6x ^ 2 - 2y ^ 2 = 11

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