1.The domain of r(t)=?sin(t),cos(t),ln(t+1)? is
Select one:
a. (??,?1]
b. (?,2?)
c. (??,?2]
d. (??,2?)
e. ?
f. (?1,?)
2. The limt??r(t) where r(t)=?t2,et,cos(t)? is
Select one:
a. ??2,e?,?1?
b. undefined
c. ??2,e?,1?
d. ?2+e?
e. ??2,e?,0?
3.Let v(t)=?2t,4t,t2?. Then the length of v?(t) is
Select one:
a. 20????+2t
b. 20+4t2
c. 20+2t????????
d. 20+4t2?????????
e. 6+2t???????
f. 1
4. The curvature of a circle centred at the origin with radius1/3 is
Select one:
a. 1
b. 1/3
c. undefined
d. 3
e. 10