pls let me know how to do this.

12. Find 1"\" ) given the following vector function. r(t) = 5t2i 6t4j + 6t3k 13. A particle moves in the yz-plane along the curve represented by the vector-valued lnction r(t) = (3 cost)j + (5 sin! )k. Find the maximum value of H r' II. 14. Find the principle unit normal vector to the curve given below at the specied point. - . . 4 7? r(t) = 200503)] + 251110)], 1' = T 15. Find the indefinite integral below. Do not include an arbitrary constant vector. 16. Evaluate the definite integral below. (9fi + 161 j + 61-k)at 17. The position vector r(t) = (6cost, 6sint, 712> describes the path of an object moving in space. Find the velocity v(t) of the object