Question

Do one problem: A or B. Z A. Use table to sketch the curve represented by the vector-valued function and give the orientation of the curve. Y *33+ t -2 -1 0 1 2 r(t)-31'i-tj+2 tk . x1-24 -3 103 124 42 10- 12 r(t)-3e'i-2Vt j +31 k 2 18 12 10 12 18 y=-t 'Z=24² or B. Represent the curve by a vector-valued function using the indicated parameter. z? = x++y?. x + 3y = 3, y = 3/4 +1.250 or *++y-2? - 3,220, y + x = 2, -2 +3 Vt 2 = 2y tau 050-

Answer 1

A) Table for first curve:

t	x	y	z
-3	-81	3	18
-2	-24	2	8
-1	-3	1	2
0	0	0	0
1	3	-1	2
2	24	-2	8
3	81	-3	18

Table for second curve:

t	x	y	z
0	3	0	0
1	8.1548	-2	3
2	22.167	-2.828427	12
3	60.257	-3.464102	27
4	163.79	-4	48
5	445.24	-4.472136	75
6	1210.3	-4.898979	108

Graph of first curve:

TO

Means orientation is clockwise

Plot of second curve:

ол 2 з до 400 300 200 100 о

Here orientation is anti-clockwise