Find the curvature of the space curve. s 6t)j + (1 + 2 sin 6)k 72 B) K = 169 45) r(t) = 5ti + (4 + 2 cos 12 A) K =- 169 C) K = 12 13 72 D) K = 13
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- 7- Find the length of the curve T= e, – T<Find the length of the curve r(t) = (4 cos(t) + 4t sin(t))i + (4 sin(t) - 4t cos(t))j + (3-√3²) K 2 a) ○ 344 π² √2 b) 6 π √43 c) ○ 2 π² √43 d) ○ 344 π √/2 e) ○ 47² √/43 k from t = 0 tot = 2.determine the parametric equations of the tangent axis to the ellipse x²/9+y²/4=1 at the point T = (3*sqrt(2))/2 , sqrt (2) )7- Find the length of the curve T= e° 30 - AFind a rectangular equation for the plane curve defined by the parametric equations. x = 6 sin t, y = 6 cos t; 0sts 21 O y= Va2 - x2 = 36; for x in -*Recommended textbooks for youAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,