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In Exercises 39–48, find a parametrization of the curve. 39. The vertical line passing through the point (3,2,0) 40. The line passing through (1,0,4) and (4,1,2) 41. The line through the origin whose projection on the xy-plane is a line of slope 3 and whose projection on the yz-plane is a line of slope 5 (i.e., ?z/?y = 5) 42. The circle of radius 1 with center (2,-1,4) in a plane parallel to the xy-plane 43. The circle of radius 2 with center (1,2,5) in a plane parallel to the yz-plane 44. The ellipse (x/2)^2 + (y/3)^2 = 1 in the xy-plane, translated to have center (9,-4,0) 45. The intersection of the plane y = 1/2 with the sphere x^2 + y^2 + z^2 = 1 46. The intersection of the surfaces z = x^2 - y^2 and z = x^2 + xy - 1 47. The ellipse (x/2)^2 + (z/3)^2 = 1 in the xz-plane, translated to have center (3,1,5) [Figure 14(A)] 48. The ellipse (y/2)^2 + (z/3)^2 = 1, translated to have center (3,1,5) [Figure 14(B)]

          In Exercises 39–48, find a parametrization of the curve.
39. The vertical line passing through the point (3,2,0)
40. The line passing through (1,0,4) and (4,1,2)
41. The line through the origin whose projection on the xy-plane is a line of slope 3 and whose projection on the yz-plane is a line of slope 5 (i.e., ?z/?y = 5)
42. The circle of radius 1 with center (2,-1,4) in a plane parallel to the xy-plane
43. The circle of radius 2 with center (1,2,5) in a plane parallel to the yz-plane
44. The ellipse (x/2)^2 + (y/3)^2 = 1 in the xy-plane, translated to have center (9,-4,0)
45. The intersection of the plane y = 1/2 with the sphere x^2 + y^2 + z^2 = 1
46. The intersection of the surfaces
z = x^2 - y^2 and z = x^2 + xy - 1
47. The ellipse (x/2)^2 + (z/3)^2 = 1 in the xz-plane, translated to have center (3,1,5) [Figure 14(A)]
48. The ellipse (y/2)^2 + (z/3)^2 = 1, translated to have center (3,1,5) [Figure 14(B)]

In Exercises 39–48, find a parametrization of the curve.
39. The vertical line passing through the point (3,2,0)
40. The line passing through (1,0,4) and (4,1,2)
41. The line through the origin whose projection on the xy-plane is a line of slope 3 and whose projection on the yz-plane is a line of slope 5 (i.e., ?z/?y = 5)
42. The circle of radius 1 with center (2,-1,4) in a plane parallel to the xy-plane
43. The circle of radius 2 with center (1,2,5) in a plane parallel to the yz-plane
44. The ellipse (x/2)^2 + (y/3)^2 = 1 in the xy-plane, translated to have center (9,-4,0)
45. The intersection of the plane y = 1/2 with the sphere x^2 + y^2 + z^2 = 1
46. The intersection of the surfaces
z = x^2 - y^2 and z = x^2 + xy - 1
47. The ellipse (x/2)^2 + (z/3)^2 = 1 in the xz-plane, translated to have center (3,1,5) [Figure 14(A)]
48. The ellipse (y/2)^2 + (z/3)^2 = 1, translated to have center (3,1,5) [Figure 14(B)]

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