Find the vector parametric equation of the closed curve C in which the two parabolic cylinders 5z 13 x and 5z = y- 12, intersect, using, as parameter, the polar angle 0 in the xy-plane. Then express the length of the curve C in terms of the x/2 complete elliptic integral function E(e) defined by E(e) = 2 sin 2 (t) dt. Thus, the required vector parametric equation of C is r = i+ + k, for 0 s0s 2n.
Find the vector parametric equation of the closed curve C in which the two parabolic cylinders 5z 13 x and 5z = y- 12, intersect, using, as parameter, the polar angle 0 in the xy-plane. Then express the length of the curve C in terms of the x/2 complete elliptic integral function E(e) defined by E(e) = 2 sin 2 (t) dt. Thus, the required vector parametric equation of C is r = i+ + k, for 0 s0s 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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