questions below:

Find T, N, and k for the space curve, where t> 0. r(t) = (2 cos t + 2t sin t)i + (2 sin t - 2t cos t)j + 5k T = i+ (Type exact answers, using radicals as needed.) N= + (Type exact answers, using radicals as needed.) K= (Type an exact answer, using radicals as needed.)\fWrite a in the form a = aTT + aNN at the given value of t without finding T and N. r(t) = (2e \\/7)i+ (2etsin t)j+ (2et cos t) k, 1=0 a (0) = ()T + (ON (Type exact answers, using radicals as needed.)Find B and t for the space curve below. r(t) = (2 sin 12t)i + (2 cos 12t)j + 10tk 12 cos 12t 12 sin 12t 5 T= i - + 13 13 -k 13 N = - sin 12ti - cos 12tj 72 K = 169 B= + (D)i + (0)k T= (Type an integer or a simplified fraction.)