19 A to sasiqyd boninnatab onslq sT T 17-20srl mon estos smen odt≤ 5 q art gainianosniainos tadi sasia sibto sasly griminos0t≤ 1 bidw browe!)20170 < t < π/4 bolts*3<4apto four decimal places.gral.)4900(1, 0, 0) to (1, 4, 0)ations x = sin t,length of this curvethe parabolic cylindernd the exact length of C5).the length of the curve2y² = 4 and the planeor the curve measuredsing t and thenc length starting fromcurve (in the directionP(4, 1, 3)K,k, P(0, 1,√√2)=) and move 5 units2t1² + 13 cost in the posi-jistros is onsl point (1, 0, 0).2006JOH(b) Use Formula 9 to find the curvature.pasta quintoon17. r(t) = (t, 3 cos t, 3 sin t)(a) Find the unit tangent and unit normal vectors T(t) and N(t).WAfrom the point (1, 0)Ess th18. r(t) = (t², sin t - t cost, cost + t sin t), t> 019. r(t) =(√2t, e', e')) or the graph of kin20. r(t) = (1, 1², 1²)loups bril (39MAX321-23 Use Theorem 10 to find the curvature.21. r(t) = t³j + t² kle ourby22. r(t) = ti + t²j+e'k23. r(t) = √√√6t² i + 2t j + 2t³ k24. Find the curvature of r(t) = (t², In t, t ln t ) at the5 Find the one I25. Find the curvature of r(t) = (t, t², t³) at the point (1, 1, 1).and Ba26. Graph the curve with parametric equations x == cos t,y = sin t, z = sin 5t and find the curvature at thepoint (1, 0, 0).vectors that are orthogonalod) bus ziləri adi awoda & brugtsigniaza hi suala guidelusois orthogonal to 1). Note(740can definealgmat foc27-29 Use Formula 11 to find the curvature.27. y = x428. y = tan xLM30. y = ln xAlummo1 si 5190 stJornal veelThe binonnal vector isthe circular helix30-31 At what point does the curve have maximum curvature?What happens to the curvature as x → ∞o?102OIT8 BAUDAYA29. y = xe*01015StoporliJoupsorigin.32. Find an equation of a parabola that has curvature 4 at the(19guitsluoeo33. (a) Is the curvature of the curve C shown in the figuregreater at P or at Q? Explain.(b) Estimate the curvature at P and at Q by sketching theosculating circles at those points.31. y = e* alorioe BAUDAslodining sdi bus storio sibi tarti sobo/PingCLASsoggeCCAC

Answered: Image /qna-images/answer/2d08af09-5d9f-455e-beba-b32861b55cb9.jpg

ig alq edT T Insgnat 17-20 (a) Find the unit tangent and unit normal vectors T(t) and N(t). PERUMAL (b) Use Formula 9 to find the curvature. 17. r(t) = (1, 3 cos t, 3 sin t) 18. r(t) = (t², sin t 1003 01 1802 t cos t, cost + t sin t), t> 0 19. r(t) =(√21, e', e¹) fact that the parabola