Final - Practice (redx- (x,ex) 1. -> 2. = E = E <1, 4) = - 3. Use x (i + 1) 4; 3 = 3 +" (4:,p23 (42,42) f 4: + + (2x,2y,2z) 0f Equ y2 z2 x = = line normal of at(40, Y0,z0) 4 = l(t) 4 tof(P). + = (X0 (1+2t), Yr(1+2A), = Convince the line passes through rigin. Infact, by this yourself z0l1+2+)! in ⑰ Xo cartesian = coordinates equ I E! = is given 5. Max (DuT(2,11) (xft),Y'(t)) 6: x (t) => = -10U 15 (2,111 + = = XT(x,y) Y'(t) = - 1 7. x x7y2 = ntsis => n -> Ri (y-1) 0 - =2. r 01 p = 2 Sinc . = fr 8. I, F-dr 2)(x = R:oc 0 Sine rE 0 = dA I = 6, 9- XXF (4xF). F-dr = Ids = =(0,0,3x4) +E z If 2 1 n 19 = 1 0911 aS z - fy2 F+ = dA y2 2 ↑ I E 16 x 4 + z2 YE dA = (OxF.nds (3xY- dA = - "is ***.nds ()) = of- (oxAdr -r 14. tysaA=Y!' ()) dudr 16- *=(0,4,z) M n I F. x R:0- idS Z - 1 1 & 4 1. dA I =