1. Find the curvature for

r(t)=sinti + costj + tk

r'(t)=costi + -sintj + 1k
r''(t)=-sinti + -costj + 0k

r'(1)=<.54030, -.84147, 1>
r''(1)=<-.84147, -.54030, 0>

i        j        k
.54030  -.84147    1
-.84147 -.54030    0

(-.2919-.70807)i-(0+.84147)j+(0-.84147)k=<-1, .84147, -.84147>
sqrt(-1^2 .84147^2, -.84147^2)=(1+.70807+.70807)=2.416
sqrt(.54030^2 -.84147^2 + 1^2)=(.2919-.70807+1)=.58383
2.416/.199=2416/199

2. Find the velocity, acceleration, and speed of a particle with the given position function.

r(t) = ti + t^2j+5k
v(t) = 1i + 2tj + 0k
a(t) = 0i + 2j + 0k