1. [40.429 Points] DETAILS LARCALCH 12.5.003. Sketch the plane curve. FIE] = 4H t], [0, 4] x 5 1.0 15 2 04 3' Y 4 4 2 2 Find its. length over the given interval. Z Need Help? _'@ 2. [40.429 Points] DETAILS LAREALCH 12.5.1105. Sketch the plane curve. rm = t3i + tzj, [0.1] 5' V 1.0 1.0 0.8 0.3 0.5 0.5 0.4 0.4 0.2 0.2 5' 3' 1.0 1.0 0.3 0.3 0.5 0.5 0.4 0.4 0.2 0.2 Find its length over the given interval. (Round your answer to four decimal places.) :| Need Help? _' 2. [-/0.429 Points] DETAILS LARCALC11 12.5.005. Sketch the plane curve. r(t) = ti + +j, [0, 1] 1.0 1.0 0.8 0.8 0.6 0.6- 0.4 0.4 0.2 0.2 - 0.2 0.4 X 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.2 0.4 0.6 0.8 1.0 O 0.2 0.4 0.6 0.8 1.0 Find its length over the given interval. (Round your answer to four decimal places.) Need Help? Read It3. [-/0.429 Points] DETAILS LARCALC11 12.5.011. Sketch the space curve. Vector-Valued Function Interval r(t) = -ti + 2tj + 4tk [0, 1] Z 5 - 2 -2 2 O O Z 5 5 5 5 -2 -2 X 2 2 O Find its length over the given interval.4. [-/0.429 Points] DETAILS LARCALC11 12.5.014. Sketch the space curve. Vector-Valued Function Interval r(t) = (2 sin t, 4t, 2 cos t) [0, 17] 3 10 2 1.05 0.5 LE 0.0 0.0 -0.5 0.5 1.0 0:951 51.01.52.0 -1.0 O O N 2 10 -10 Z Subus - 2 -1 X y 1 O 2 Find its length over the given interval.5. [-/0.214 Points] DETAILS LARCALC11 12.5.023. Find the curvature K of the plane curve at the given value of the parameter. r(t) = 8ti - 4tj, t = 1 K = Need Help? Read It Watch It 6. [-/0.214 Points] DETAILS LARCALC11 12.5.026. Find the curvature K of the plane curve at the given value of the parameter. r(t) = ti + = Apj, t = 3 36 K = Need Help? Read It 7. [-/0.214 Points] DETAILS LARCALC11 12.5.029. Find the curvature K of the curve. r(t) = 4 cos 2nti + 4 sin 2ntj K Need Help? Read It 8. [-/0.214 Points] DETAILS LARCALC11 12.5.030. Find the curvature K of the curve. r(t) = 9 cos(nt)i + sin(at)j K = Need Help? Read It9. [-/0.214 Points] DETAILS LARCALC11 12.5.033. Find the curvature K of the curve. r(t) = ti + j + _k 2 K = Need Help? Read It 10. [-/0.214 Points] DETAILS LARCALC11 12.5.036. Find the curvature K of the curve. r(t) = effi + e>f cost j + e>f sin t k K = Need Help? Read It