Question

find curvatureof r(t)= at t=1

Answer 1

find r'(t)
find r''(t)
then apply formula
\[\huge K(t) = \frac{|r'(t)~ \text{x}~ r''(t)|}{|r'(t)|^3}\]

Answer 2

and then, plug t =1 into the last equation.

Answer 3

then wont i be left with ijk still?

Answer 4

i know how to derive it then have 0,2,2 on top?

Answer 5

what is your r' (t) ?

Answer 6

1,2x,-2x

Answer 7

t, friend, not x , ok,
r'' (t)?

Answer 8

yes t r''(t) is 0,2,-2

Answer 9

ok, cross them to get the numerator of curvature formula!! Please

Answer 10

what do you have?

Answer 11

0,2,2

Answer 12

sure?

Answer 13

or should i not hve plugged in t=1 yet

Answer 14

yea, you are right, now, calculate the numerator what is it? magnitude of r'(t) friend, then exponent to 3

Answer 15

3,8,-8?

Answer 16

nope, it's not that, it's a number

Answer 17

how can it be a number r'(t) was in i j k