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<(3*cos(2*t)+5*sin(t))^2, (3*cos(2*t)+4*cos(t))^2, sin(3*t)+3*sin(t)> ; curvature at t=2 is .2264084990
3<(5*cos(2*t)+3*sin(t))^3, 8*cos(t)^3, sin(2*t)+2*sin(t)> ; curvature at t=2 is 1.705105322
4<3*cos(3*t)+5*sin(t), 4*cos(t)^2, (sin(2*t)+sin(t))^2> ; curvature at t=2 is 3.282818411
5<(3*cos(3*t)+sin(t))^2, 3*cos(3*t)-4*cos(t), (sin(3*t)+5*sin(t))^2> ; curvature at t=2 is .2123944735
6<4*cos(t)+4*sin(t), (cos(3*t)-cos(t))^3, (sin(3*t)+3*sin(t))^2> ; curvature at t=2 is .1133341104
7<(cos(2*t)+2*sin(t))^2, 5*cos(t), 2*sin(t)> ; curvature at t=2 is .1614059561
8<2*cos(t)+3*sin(t), 3*cos(3*t)-4*cos(t), sin(3*t)+4*sin(t)> ; curvature at t=2 is .2941403205
9<(2*cos(3*t)+4*sin(t))^3, (cos(2*t)+4*cos(t))^3, (sin(3*t)+3*sin(t))^2> ; curvature at t=2 is 1.565756864
10<(5*cos(t)+2*sin(t))^2, 3*cos(3*t)-cos(t), 25*sin(t)^2> ; curvature at t=2 is .1638761276
11<(2*cos(t)+sin(t))^2, 3*cos(3*t)-4*cos(t), sin(3*t)+4*sin(t)> ; curvature at t=2 is .2401504179
12<(cos(3*t)+sin(t))^3, 8*cos(t), 6*sin(t)> ; curvature at t=2 is 1.074531428
13<(4*cos(3*t)+2*sin(t))^2, (3*cos(2*t)-4*cos(t))^3, (sin(2*t)+2*sin(t))^2> ; curvature at t=2 is .1208018610
14<cos(2*t)+sin(t), (cos(2*t)-cos(t))^2, 4*sin(t)^2> ; curvature at t=2 is 1.019777303
15<(3*cos(t)+2*sin(t))^3, (3*cos(3*t)+4*cos(t))^3, (sin(2*t)+sin(t))^2> ; curvature at t=2 is 2.481713240
16<5*cos(2*t)+2*sin(t), cos(3*t)+4*cos(t), (sin(3*t)+4*sin(t))^2> ; curvature at t=2 is .1082256526
17<(cos(3*t)+2*sin(t))^3, (2*cos(3*t)+4*cos(t))^3, sin(3*t)+4*sin(t)> ; curvature at t=2 is 146.2794029
18<3*cos(3*t)+2*sin(t), -27*cos(t)^3, (sin(2*t)+4*sin(t))^2> ; curvature at t=2 is .1232816272
19<(3*cos(3*t)+4*sin(t))^2, 2*cos(t), (sin(3*t)+3*sin(t))^2> ; curvature at t=2 is 1.218468432
20<(5*cos(3*t)+3*sin(t))^2, (5*cos(2*t)+4*cos(t))^2, 3*sin(t)> ; curvature at t=2 is .1529020403
21<4*cos(2*t)+4*sin(t), (4*cos(2*t)-4*cos(t))^2, (sin(2*t)+sin(t))^3> ; curvature at t=2 is .1293688548
22<(cos(2*t)+4*sin(t))^2, 9*cos(t)^2, sin(2*t)+3*sin(t)> ; curvature at t=2 is .1195719026
23<cos(2*t)+3*sin(t), 5*cos(2*t)+4*cos(t), sin(3*t)+2*sin(t)> ; curvature at t=2 is .3174757977
24<(4*cos(2*t)+4*sin(t))^3, 5*cos(2*t)-cos(t), 36*sin(t)^2> ; curvature at t=2 is .1042081199
25<5*cos(3*t)+5*sin(t), 5*cos(3*t)-4*cos(t), sin(2*t)+2*sin(t)> ; curvature at t=2 is .5236451908
26<(2*cos(3*t)+2*sin(t))^3, 5*cos(3*t)-cos(t), 8*sin(t)^3> ; curvature at t=2 is .1474340628
27<2*cos(2*t)+4*sin(t), 4*cos(t)^2, sin(2*t)+5*sin(t)> ; curvature at t=2 is .1286216498
28<3*cos(2*t)+4*sin(t), (2*cos(2*t)+4*cos(t))^2, 9*sin(t)^2> ; curvature at t=2 is .6137705330
29<(3*cos(2*t)+sin(t))^2, cos(2*t)+4*cos(t), 5*sin(t)> ; curvature at t=2 is .1064854032
30<2*cos(3*t)+4*sin(t), (4*cos(3*t)+4*cos(t))^2, sin(2*t)+3*sin(t)> ; curvature at t=2 is 16.20050945
31<(2*cos(3*t)+4*sin(t))^3, (4*cos(2*t)-cos(t))^3, 2*sin(t)> ; curvature at t=2 is .1895663178
32<(5*cos(2*t)+5*sin(t))^2, 16*cos(t)^2, 4*sin(t)> ; curvature at t=2 is .1094474047
33<(5*cos(2*t)+4*sin(t))^3, (3*cos(2*t)-4*cos(t))^2, sin(3*t)+3*sin(t)> ; curvature at t=2 is 4.143976942
34<(5*cos(t)+2*sin(t))^2, (3*cos(2*t)-cos(t))^2, (sin(3*t)+2*sin(t))^3> ; curvature at t=2 is .1601872606
35<3*cos(3*t)+3*sin(t), cos(t), (sin(3*t)+2*sin(t))^3> ; curvature at t=2 is .1514721461
36<(5*cos(t)+2*sin(t))^2, 4*cos(t), sin(3*t)+3*sin(t)> ; curvature at t=2 is 2.015360662
37<(5*cos(2*t)+5*sin(t))^2, 5*cos(3*t)-cos(t), (sin(2*t)+2*sin(t))^2> ; curvature at t=2 is .3080327339
38<5*cos(t)+5*sin(t), -8*cos(t)^3, (sin(3*t)+2*sin(t))^2> ; curvature at t=2 is .1205526520
39<(5*cos(t)+2*sin(t))^3, cos(2*t)-cos(t), (sin(3*t)+4*sin(t))^2> ; curvature at t=2 is .6192117394
40<3*cos(3*t)+2*sin(t), -cos(t)^3, sin(3*t)+3*sin(t)> ; curvature at t=2 is 3.500751039
41<(3*cos(t)+sin(t))^2, -cos(t), 6*sin(t)> ; curvature at t=2 is 1.061961336
42<(5*cos(t)+3*sin(t))^3, 3*cos(t), sin(3*t)+sin(t)> ; curvature at t=2 is .8804318108
43<(4*cos(3*t)+4*sin(t))^2, 2*cos(3*t)-cos(t), sin(2*t)+3*sin(t)> ; curvature at t=2 is .1060709869
44<5*cos(2*t)+4*sin(t), 8*cos(t)^3, (sin(2*t)+sin(t))^3> ; curvature at t=2 is .1628986148
45<(5*cos(2*t)+2*sin(t))^3, (4*cos(3*t)+4*cos(t))^3, sin(3*t)+sin(t)> ; curvature at t=2 is .2712676600
46<(3*cos(t)+2*sin(t))^2, 3*cos(3*t)+4*cos(t), 2*sin(t)> ; curvature at t=2 is 1.649329298
47<(cos(t)+4*sin(t))^2, (cos(2*t)-4*cos(t))^3, 6*sin(t)> ; curvature at t=2 is .2143122536
48<(cos(2*t)+2*sin(t))^2, cos(t)^2, sin(3*t)+3*sin(t)> ; curvature at t=2 is .3905060391
49<(2*cos(2*t)+5*sin(t))^2, (2*cos(2*t)-4*cos(t))^3, (sin(3*t)+3*sin(t))^2> ; curvature at t=2 is .8509137155
50<(3*cos(t)+sin(t))^2, (2*cos(3*t)+4*cos(t))^2, 2*sin(t)> ; curvature at t=2 is 1.453952518
51<5*cos(3*t)+4*sin(t), (2*cos(2*t)+4*cos(t))^3, sin(2*t)+2*sin(t)> ; curvature at t=2 is .1078496054
52<(cos(t)+3*sin(t))^2, 3*cos(3*t)+4*cos(t), sin(2*t)+2*sin(t)> ; curvature at t=2 is .2281622411
53<(5*cos(3*t)+5*sin(t))^2, 5*cos(2*t)-4*cos(t), sin(2*t)+sin(t)> ; curvature at t=2 is .1511019276
54<(3*cos(3*t)+4*sin(t))^2, (3*cos(2*t)-cos(t))^2, (sin(3*t)+2*sin(t))^3> ; curvature at t=2 is .5641338083
55<(4*cos(t)+3*sin(t))^3, -3*cos(t), 36*sin(t)^2> ; curvature at t=2 is .1478943356
56<(4*cos(3*t)+5*sin(t))^2, 5*cos(3*t)-cos(t), sin(2*t)+3*sin(t)> ; curvature at t=2 is .2709196793
57<(cos(2*t)+2*sin(t))^3, 5*cos(3*t)-4*cos(t), (sin(2*t)+4*sin(t))^2> ; curvature at t=2 is .1011343703
58<(2*cos(t)+2*sin(t))^3, 3*cos(2*t)+4*cos(t), sin(2*t)+3*sin(t)> ; curvature at t=2 is .2675254747
59<(4*cos(3*t)+4*sin(t))^2, 5*cos(3*t)+4*cos(t), (sin(3*t)+3*sin(t))^2> ; curvature at t=2 is .2527423309
60<5*cos(2*t)+2*sin(t), 3*cos(3*t)-4*cos(t), (sin(3*t)+2*sin(t))^3> ; curvature at t=2 is .1437959031
61<(3*cos(3*t)+2*sin(t))^2, (5*cos(3*t)+4*cos(t))^3, 2*sin(t)> ; curvature at t=2 is 1.285887176
62<(2*cos(2*t)+2*sin(t))^3, 2*cos(3*t)-cos(t), sin(3*t)+2*sin(t)> ; curvature at t=2 is 1.774609746
63<cos(2*t)+4*sin(t), 8*cos(t), (sin(3*t)+2*sin(t))^2> ; curvature at t=2 is .1098757216
64<(cos(3*t)+3*sin(t))^3, (2*cos(3*t)+4*cos(t))^3, (sin(3*t)+sin(t))^3> ; curvature at t=2 is .1955896180
65<(2*cos(3*t)+4*sin(t))^2, (2*cos(2*t)+4*cos(t))^2, sin(3*t)+5*sin(t)> ; curvature at t=2 is 16.74146035
66<(5*cos(t)+sin(t))^3, 4*cos(3*t)-cos(t), (sin(3*t)+2*sin(t))^3> ; curvature at t=2 is .1351587970
67<(5*cos(2*t)+4*sin(t))^2, (cos(2*t)-cos(t))^2, sin(3*t)+5*sin(t)> ; curvature at t=2 is 1.587264488
68<3*cos(2*t)+4*sin(t), (cos(3*t)+4*cos(t))^3, sin(2*t)+sin(t)> ; curvature at t=2 is .8956488901
69<cos(3*t)+4*sin(t), 4*cos(t), 3*sin(t)> ; curvature at t=2 is .8108125444
70<2*cos(t)+sin(t), (5*cos(3*t)+4*cos(t))^2, sin(2*t)+4*sin(t)> ; curvature at t=2 is 7.346208614
71<(5*cos(2*t)+3*sin(t))^2, 4*cos(2*t)+4*cos(t), 5*sin(t)> ; curvature at t=2 is .7098608316
72<(5*cos(2*t)+3*sin(t))^3, (cos(3*t)+4*cos(t))^2, 27*sin(t)^3> ; curvature at t=2 is .1546017078
73<cos(3*t)+5*sin(t), 4*cos(2*t)-cos(t), (sin(3*t)+5*sin(t))^2> ; curvature at t=2 is .2376035952
74<(3*cos(3*t)+4*sin(t))^2, (4*cos(2*t)+4*cos(t))^2, (sin(2*t)+sin(t))^2> ; curvature at t=2 is .6930399260
75<(cos(3*t)+3*sin(t))^3, 2*cos(3*t)+4*cos(t), 4*sin(t)> ; curvature at t=2 is .1962522792
76<2*cos(3*t)+5*sin(t), 2*cos(3*t)+4*cos(t), 6*sin(t)> ; curvature at t=2 is 2.128477468
77<(3*cos(2*t)+3*sin(t))^2, (2*cos(2*t)+4*cos(t))^2, sin(2*t)+4*sin(t)> ; curvature at t=2 is 1.050959294
78<cos(2*t)+4*sin(t), 2*cos(2*t)+4*cos(t), sin(2*t)+3*sin(t)> ; curvature at t=2 is .9718081458
79<(2*cos(3*t)+sin(t))^3, 3*cos(3*t)+4*cos(t), 9*sin(t)^2> ; curvature at t=2 is .1126083364
80<4*cos(3*t)+3*sin(t), 27*cos(t)^3, 4*sin(t)> ; curvature at t=2 is .2646430083
81<(2*cos(t)+3*sin(t))^2, 2*cos(3*t)+4*cos(t), (sin(3*t)+sin(t))^3> ; curvature at t=2 is .2131508393
82<(2*cos(2*t)+5*sin(t))^2, -cos(t)^3, (sin(3*t)+sin(t))^3> ; curvature at t=2 is .4256370543
83<5*cos(3*t)+2*sin(t), 2*cos(2*t)-cos(t), 4*sin(t)^2> ; curvature at t=2 is 1.147304367
84<(cos(t)+5*sin(t))^2, (4*cos(2*t)-4*cos(t))^3, (sin(3*t)+sin(t))^2> ; curvature at t=2 is .2792083388
85<2*cos(2*t)+4*sin(t), 2*cos(3*t)-cos(t), sin(2*t)+5*sin(t)> ; curvature at t=2 is .7806008567
86<(cos(2*t)+5*sin(t))^3, (2*cos(3*t)-cos(t))^2, sin(2*t)+sin(t)> ; curvature at t=2 is .1191784910
87<(cos(2*t)+3*sin(t))^2, (2*cos(2*t)+4*cos(t))^3, (sin(3*t)+3*sin(t))^2> ; curvature at t=2 is .2524558608
88<(5*cos(2*t)+3*sin(t))^3, 8*cos(t), sin(3*t)+sin(t)> ; curvature at t=2 is 1.073151841
89<(3*cos(2*t)+5*sin(t))^2, (2*cos(2*t)-cos(t))^3, (sin(3*t)+3*sin(t))^2> ; curvature at t=2 is .2415822114
90<(4*cos(t)+2*sin(t))^3, 4*cos(3*t)-cos(t), sin(2*t)+3*sin(t)> ; curvature at t=2 is .9762760055
91<(2*cos(3*t)+2*sin(t))^3, (cos(2*t)-cos(t))^2, (sin(3*t)+4*sin(t))^3> ; curvature at t=2 is .2001416746
92<(cos(t)+3*sin(t))^2, (3*cos(3*t)+4*cos(t))^2, (sin(2*t)+4*sin(t))^2> ; curvature at t=2 is .1452703332
93<(3*cos(2*t)+3*sin(t))^2, (2*cos(3*t)+4*cos(t))^3, 5*sin(t)> ; curvature at t=2 is .2855763605
94<(5*cos(t)+3*sin(t))^3, 2*cos(2*t)-4*cos(t), (sin(2*t)+sin(t))^3> ; curvature at t=2 is .9250363273
95<(3*cos(3*t)+3*sin(t))^2, -8*cos(t)^3, (sin(3*t)+4*sin(t))^3> ; curvature at t=2 is .1567911109
96<2*cos(3*t)+4*sin(t), (cos(2*t)+4*cos(t))^2, (sin(2*t)+sin(t))^3> ; curvature at t=2 is .2174681166
97<3*cos(t)+4*sin(t), (2*cos(2*t)-4*cos(t))^3, (sin(2*t)+2*sin(t))^2> ; curvature at t=2 is 1.993714876
98<4*cos(3*t)+sin(t), -cos(t)^3, 25*sin(t)^2> ; curvature at t=2 is .1092810983
99<(2*cos(t)+5*sin(t))^2, (2*cos(2*t)+4*cos(t))^3, 25*sin(t)^2> ; curvature at t=2 is .1155825073
100<4*cos(3*t)+4*sin(t), 4*cos(t)^2, (sin(3*t)+sin(t))^2> ; curvature at t=2 is 1.896664047