Question

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 4 In(t), y = 6/t, z = t4; (0,6, 1) x(t), y(t), z(t) = X

Answer 1

X=4 ent ) 9= 6, 7-4° Port Co 94, 1) The point (061) 48 for t=1 beco-be 2 = 90 У (4) го 9- бл. 6 Zz 1421 Now als extra Ч + 9 . 2 Сх art It -. Чt 2 for tel 3 1) (تر)۶ (9, It is be Бt ч, 3, 4)

Ear of lime passes through (0,611) and parallel of in the direction of B R2 (61e6s+ k) + +(45 133442) 22 (0+4t))+(6+3+)}+(1+4+52 flere Se uityjt z Z lc 6 x?ty]+ Z2 = (0+4t)i + (6 st) + 4U M = otht, ye6t32, Zaitut So olt)= 46, byl)= 613t, ZC4)= 184€ W1lt) y(H, ZCH 14t, 6t3t, 144t