A parametric representation of the curve of intersection of the two surfaces x2 + 5y2 - z = 0 and 4y2 + z = 36 is given by the vector equation : r (t) = 6cos(t) i + 2sin(t) j + (36 - 16 sin?(t) ) k , O < t < 2n r (t) = cos(t) i + sin(t) i + (36 - 16 sin2(t) ) K ,0 st s 2n r (t) = 6cosh(t) + 2sinh(t) j + (36 - 16 sin2(t) ) k , 0 sts 2n r (t) = cos(t) i + 3sin(t) j + 36cos2(t) k , 0 sts 2n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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A parametric representation of the curve of intersection of the two surfaces
x2 + 5y2 - z = 0 and 4y2 + z = 36 is given by the vector equation :
r (t) = 6cos(t) i + 2sin(t) j + (36 - 16 sin?(t) ) k , O < t < 2n
r (t) = cos(t) i + sin(t) j + (36 - 16 sin2(t) ) K , 0 st s 2n
r (t) = 6cosh(t)
+ 2sinh(t) j + (36 - 16 sin2(t) ) k , 0 st< 2n
r (t) = cos(t) i + 3sin(t) + 36cos?(t) k ,0 sts 2n
r (t) = 6cos(t) i + 6sin(t) j + 36(1 - 4 sin?(t) ) K , 0 sts 27
Transcribed Image Text:A parametric representation of the curve of intersection of the two surfaces x2 + 5y2 - z = 0 and 4y2 + z = 36 is given by the vector equation : r (t) = 6cos(t) i + 2sin(t) j + (36 - 16 sin?(t) ) k , O < t < 2n r (t) = cos(t) i + sin(t) j + (36 - 16 sin2(t) ) K , 0 st s 2n r (t) = 6cosh(t) + 2sinh(t) j + (36 - 16 sin2(t) ) k , 0 st< 2n r (t) = cos(t) i + 3sin(t) + 36cos?(t) k ,0 sts 2n r (t) = 6cos(t) i + 6sin(t) j + 36(1 - 4 sin?(t) ) K , 0 sts 27
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