Answer each of the following question about the given the 3-dimensional surfaces x² + v? +z? = 20 and z = x² + v?. A) What quadric surfaces are represented by these equations? Give any details you can. x² + y° +z? = 20 z = x + y? Make a sketch, nothing fancy just a sketch, of these surfaces and identify the space curve of intersection on your sketch and describe this space curve in your own words. B) C) Let x = 2 cost to find a vector valued function that represents the space curve of intersection of the two surfaces. x² +y² +z° = 20 and z=x² + y? %3D 5.

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5.
Answer each of the following question about the given the 3-dimensional surfaces
x' + v? +z? = 20 and z = x + y².
A)
What quadric surfaces are represented by these equations? Give any details you can.
x² + y? +z? = 20
z = x² + y²
Make a sketch, nothing fancy just a sketch, of these surfaces and identify the space curve
of intersection on your sketch and describe this space curve in your own words.
В)
C)
Let x = 2 cost to find a vector valued function that represents the space curve of
intersection of the two surfaces.
x² + y? +z? = 20 and z=x² +y²
Transcribed Image Text:5. Answer each of the following question about the given the 3-dimensional surfaces x' + v? +z? = 20 and z = x + y². A) What quadric surfaces are represented by these equations? Give any details you can. x² + y? +z? = 20 z = x² + y² Make a sketch, nothing fancy just a sketch, of these surfaces and identify the space curve of intersection on your sketch and describe this space curve in your own words. В) C) Let x = 2 cost to find a vector valued function that represents the space curve of intersection of the two surfaces. x² + y? +z? = 20 and z=x² +y²
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