Maple Data for Lab #2

1<(3*cos(t)+sin(t))^3, 5*cos(3*t)-cos(t), (sin(2*t)+2*sin(t))^2> ; curvature at t=2 is .6904574193
2<(cos(3*t)+4*sin(t))^2, (2*cos(2*t)-4*cos(t))^2, (sin(3*t)+3*sin(t))^3> ; curvature at t=2 is .1356473596
3<(3*cos(2*t)+sin(t))^3, 2*cos(2*t)-4*cos(t), (sin(3*t)+2*sin(t))^3> ; curvature at t=2 is .2076382495
4<(3*cos(3*t)+sin(t))^2, cos(2*t)+4*cos(t), (sin(2*t)+4*sin(t))^2> ; curvature at t=2 is .2419066039
5<5*cos(2*t)+2*sin(t), 3*cos(2*t)+4*cos(t), (sin(2*t)+3*sin(t))^2> ; curvature at t=2 is .1347844451
6<5*cos(2*t)+4*sin(t), (2*cos(2*t)+4*cos(t))^2, 6*sin(t)> ; curvature at t=2 is .7443216230
7<(cos(t)+3*sin(t))^2, (2*cos(2*t)-4*cos(t))^2, 4*sin(t)> ; curvature at t=2 is .6553609875
8<(5*cos(t)+sin(t))^3, (4*cos(3*t)+4*cos(t))^2, 27*sin(t)^3> ; curvature at t=2 is .1503604461
9<(cos(2*t)+5*sin(t))^2, (2*cos(2*t)+4*cos(t))^2, (sin(2*t)+2*sin(t))^2> ; curvature at t=2 is .7549812430
10<4*cos(2*t)+sin(t), (cos(3*t)-cos(t))^2, (sin(3*t)+5*sin(t))^2> ; curvature at t=2 is .2186204853
11<(4*cos(2*t)+2*sin(t))^2, (2*cos(2*t)-4*cos(t))^3, (sin(2*t)+3*sin(t))^3> ; curvature at t=2 is .1090709638
12<(5*cos(2*t)+3*sin(t))^2, (4*cos(2*t)-4*cos(t))^3, 6*sin(t)> ; curvature at t=2 is .1098964696
13<(5*cos(2*t)+4*sin(t))^3, cos(2*t)+4*cos(t), (sin(3*t)+sin(t))^3> ; curvature at t=2 is 3.192507935
14<2*cos(t)+sin(t), 5*cos(3*t)-4*cos(t), (sin(3*t)+2*sin(t))^2> ; curvature at t=2 is .3478107747
15<(cos(2*t)+2*sin(t))^3, cos(t)^3, sin(3*t)+4*sin(t)> ; curvature at t=2 is .4003498450
16<(4*cos(t)+2*sin(t))^3, cos(3*t)-4*cos(t), 9*sin(t)^2> ; curvature at t=2 is .3598550583
17<(5*cos(t)+2*sin(t))^3, cos(t)^2, (sin(3*t)+sin(t))^3> ; curvature at t=2 is 3.329592206
18<(5*cos(2*t)+4*sin(t))^3, (4*cos(3*t)+4*cos(t))^2, 2*sin(t)> ; curvature at t=2 is 12.21866848
19<4*cos(t)+sin(t), (4*cos(2*t)-4*cos(t))^3, 3*sin(t)> ; curvature at t=2 is .1157244647
20<5*cos(2*t)+3*sin(t), 2*cos(3*t)-cos(t), 4*sin(t)> ; curvature at t=2 is .4149908065
21<cos(2*t)+3*sin(t), cos(3*t)-4*cos(t), sin(3*t)+2*sin(t)> ; curvature at t=2 is .2031755829
22<(2*cos(t)+2*sin(t))^3, (2*cos(2*t)-cos(t))^3, 2*sin(t)> ; curvature at t=2 is .1156752970
23<(3*cos(2*t)+4*sin(t))^3, 4*cos(3*t)-4*cos(t), sin(3*t)+3*sin(t)> ; curvature at t=2 is .1064170565
24<5*cos(2*t)+sin(t), 2*cos(3*t)-4*cos(t), sin(2*t)+5*sin(t)> ; curvature at t=2 is .2481674532
25<(4*cos(2*t)+4*sin(t))^3, cos(t), sin(2*t)+sin(t)> ; curvature at t=2 is .1117450936
26<(4*cos(3*t)+sin(t))^2, (4*cos(2*t)-4*cos(t))^3, (sin(2*t)+2*sin(t))^2> ; curvature at t=2 is .1101484323
27<(2*cos(3*t)+4*sin(t))^3, (2*cos(3*t)-cos(t))^2, sin(2*t)+sin(t)> ; curvature at t=2 is 12.81259428
28<(3*cos(3*t)+4*sin(t))^2, 5*cos(3*t)-4*cos(t), (sin(3*t)+sin(t))^2> ; curvature at t=2 is 1.060150009
29<(cos(3*t)+sin(t))^2, 2*cos(3*t)-cos(t), 5*sin(t)> ; curvature at t=2 is 2.288930485
30<(cos(2*t)+3*sin(t))^2, (2*cos(2*t)+4*cos(t))^3, (sin(3*t)+4*sin(t))^2> ; curvature at t=2 is .2305160240
31<4*cos(3*t)+2*sin(t), (4*cos(3*t)+4*cos(t))^3, sin(3*t)+5*sin(t)> ; curvature at t=2 is 12.24302106
32<3*cos(2*t)+4*sin(t), cos(2*t)+4*cos(t), 4*sin(t)> ; curvature at t=2 is .4262489695
33<2*cos(2*t)+2*sin(t), 4*cos(3*t)-4*cos(t), (sin(3*t)+2*sin(t))^2> ; curvature at t=2 is .3535024497
34<(4*cos(3*t)+3*sin(t))^2, 9*cos(t), (sin(3*t)+2*sin(t))^3> ; curvature at t=2 is .2691933229
35<2*cos(2*t)+sin(t), 5*cos(3*t)-4*cos(t), sin(2*t)+sin(t)> ; curvature at t=2 is .2724838708
36<(3*cos(2*t)+2*sin(t))^2, 5*cos(t), 6*sin(t)> ; curvature at t=2 is .9308633226
37<(2*cos(3*t)+sin(t))^2, 5*cos(3*t)+4*cos(t), 16*sin(t)^2> ; curvature at t=2 is .5289526560
38<(2*cos(3*t)+3*sin(t))^2, 5*cos(t), (sin(3*t)+2*sin(t))^2> ; curvature at t=2 is 2.213313376
39<3*cos(t)+3*sin(t), 5*cos(3*t)+4*cos(t), 16*sin(t)^2> ; curvature at t=2 is .2623482321
40<(4*cos(2*t)+2*sin(t))^3, 27*cos(t)^3, 27*sin(t)^3> ; curvature at t=2 is .1236145859
41<3*cos(3*t)+5*sin(t), (3*cos(2*t)+4*cos(t))^2, (sin(3*t)+sin(t))^2> ; curvature at t=2 is .7194898954
42<2*cos(2*t)+2*sin(t), 2*cos(3*t)-cos(t), (sin(3*t)+3*sin(t))^2> ; curvature at t=2 is .2457049226
43<(4*cos(t)+4*sin(t))^2, 4*cos(3*t)-4*cos(t), (sin(3*t)+2*sin(t))^3> ; curvature at t=2 is .1012491900
44<(5*cos(t)+2*sin(t))^2, -cos(t), (sin(2*t)+sin(t))^2> ; curvature at t=2 is 2.673076024
45<(3*cos(3*t)+2*sin(t))^2, (3*cos(3*t)+4*cos(t))^2, 3*sin(t)> ; curvature at t=2 is .3912558791
46<(2*cos(2*t)+4*sin(t))^2, 2*cos(3*t)-cos(t), 3*sin(t)> ; curvature at t=2 is .4260682456
47<3*cos(3*t)+sin(t), 5*cos(t), (sin(3*t)+2*sin(t))^3> ; curvature at t=2 is .1498518685
48<2*cos(3*t)+2*sin(t), (5*cos(3*t)+4*cos(t))^3, 4*sin(t)> ; curvature at t=2 is .4961129524
49<(2*cos(3*t)+5*sin(t))^3, cos(2*t)-4*cos(t), sin(2*t)+4*sin(t)> ; curvature at t=2 is .1216060182
50<5*cos(3*t)+2*sin(t), (5*cos(3*t)+4*cos(t))^3, 4*sin(t)^2> ; curvature at t=2 is 1.036815259
51<cos(2*t)+2*sin(t), (5*cos(3*t)+4*cos(t))^2, (sin(2*t)+5*sin(t))^2> ; curvature at t=2 is .3811129002
52<(4*cos(2*t)+3*sin(t))^2, 4*cos(t)^2, sin(3*t)+5*sin(t)> ; curvature at t=2 is 3.996231716
53<(3*cos(t)+3*sin(t))^2, (3*cos(2*t)+4*cos(t))^2, sin(3*t)+3*sin(t)> ; curvature at t=2 is .3916602182
54<3*cos(3*t)+sin(t), -3*cos(t), (sin(3*t)+sin(t))^3> ; curvature at t=2 is 1.784233119
55<(cos(3*t)+sin(t))^2, 5*cos(3*t)-4*cos(t), (sin(3*t)+sin(t))^3> ; curvature at t=2 is .6681866132