Math 150B Homework 4 Answers

Pg.7 No.28 30.(b) P(2.-1) a(5,3) A 60 P V R < 3,4 ) 7 (3)4+42 - -25 25 50 525 52525 epe $ 33,4> -25 -1 = (3,4) 2x25 2 52 0 - 2 - 1 . 32 4 4 29.16 -2x11+4+24+4

34. r(t) < ln (2++) 2t , t'> ; r'(t) = Tangeort Vector (a) T(t), = (r'(+) Unit tangent Ir't'sl vector 1 ('(+)) T(+) = I < / 14 2++ 2.2t) /++++++ (2++) (b) T(1) = 1 (c) r(-)) - = .8 Tangent Line 2,-2t+1-> 35. = = When t.o; sin 0 + 6.0 - -us0.C2.0 3(0)+c3=2 G'O -1+4=0 C3 = 2 C2 =1 v(t) = < sin t , = ( vit) (speed) r (t) - Svct) dt .

PM 36. ca ret) =