Question

Determine whether the path is regular: c(t)= (cost, sint, t)

Answer 1

isn't that just a circle of radius 1

Answer 2

oh oops i didn't see there was a "z" coordinate

Answer 3

so c'(t) = ( -sint, cost, 1)?

Answer 4

hmm its a spiral up the z-axis

what do you mean by regular?

Answer 5

This is what is in my notes. not even in my book....

Answer 6

"We say that c is regular at t(sub 0) if c'(t) does not = 0 and c is regular if c'(t) does not = 0 for any t on [a.b]

Answer 7

"