(Solved): Evaluate the integral. [ ((7-7t)i +7tj) dt 1 07 14 +1/(22-1) 1 03/+1/2/(22-1) ...

Evaluate the integral. [² ((7-7t)i +7??tj) dt 1 07 14 ?+1/(2?2-1) 1 03/?+1/2/(2??2-1) 07 7 14 0+ (2?2-1) 07?2-2; j O Find T, N, and B for the given space curve. r(t) = (In (cos t) + 8) i +7j+(5+t) k, -?/2 < t < ?/2 T = (sin t)i + (cos t)k; N = (cos t)i - (sin t)k; B = j T= (-sin t)i + (cos t)k; N = (-cos t)i - (sin t)k; B = j OT = (-sin t)i + (cos t)k; N = (-cos t)i - (sin t)k; B = -j OT (sin t)i + (cos t)k; N = (cos t)i - (sin t)k; B = -j Find the curvature K and radius of curvature R for the curve at the given point. y = x², x=1 OK 1.6, R = 5/8 OK= 2/5, R = 5/2 OK 0.179, R =5.6 OK= 5/6, R = 6/5 Find the curvature K for the given function. r(t) = 2t i + (6 + 2sin t)j + (7 + 2cost) k OK= 1/4 OK 1/16 K = 4 K= 4/3