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scoray [572]
3 years ago
14

Describe in words the region of R3 reperesented by the equations or inequalities y2+z2=16

Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

Answer:

It represents an infinite cylinder of radius 4.

Step-by-step explanation:

The first thing to notice is that

y^2+z^2=4^2

<u>represents a circle of radius 4</u>, with its center in the origin of a plane yz, of cartesians coordinates.

Starting from here, we have to put the coordinate x, for all values of x, to complete the space R³. <em>This will enlarge this circle we had on the plane, to infinity</em> (positive and negative on the x-axis).

Finally, we have that this region is a cylinder of radius 4, with center in y=0 and z=0, and of infinite length in the x coordinates.

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Answer:

Exact form:

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3 years ago
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Phoenix [80]

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5 0
3 years ago
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Neko [114]

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Step-by-step explanation:

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2 years ago
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Ierofanga [76]

Answer:

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