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...

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Extracted 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