Parametrize the following. Don't forget to include the limits for your parameter(s). (I'm asking you to find parameterizations for the following curves and/or surfaces). (a) The curve which is the intersection of the cylinder x+y = 4 and the surface x=4+=+2y*. (b) The surface which is the part of the cylinder x +y =9 between the planes = = 1 and =10. (c) The surface which is the part of the sphere of radius 4 which is "behind" the plane x = 0 (that is, the part the sphere of radius 4 in the octants where x <0) and is above the cone =4x+4y.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Parametrize the following. Don't forget to include the limits for your parameter(s). (I'm asking you to find
parameterizations for the following curves and/or surfaces).
(a) The curve which is the intersection of the cylinder x+y
= 4 and the surface x =4+= +2y*.
(b) The surface which is the part of the cylinder x +y =9 between the planes = = 1 and =10.
(c) The surface which is the part of the sphere of radius 4 which is "behind" the plane x = 0 (that is, the part of
the sphere of radius 4 in the octants where x <0) and is above the cone =
4x²+4y.
Transcribed Image Text:Parametrize the following. Don't forget to include the limits for your parameter(s). (I'm asking you to find parameterizations for the following curves and/or surfaces). (a) The curve which is the intersection of the cylinder x+y = 4 and the surface x =4+= +2y*. (b) The surface which is the part of the cylinder x +y =9 between the planes = = 1 and =10. (c) The surface which is the part of the sphere of radius 4 which is "behind" the plane x = 0 (that is, the part of the sphere of radius 4 in the octants where x <0) and is above the cone = 4x²+4y.
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