find t from the points

[spacewater]

I have a problem finding the t from the given points
ie

r(t) ti + t^2j + tk, P( 0,0,0 ) <----- how can I find t from this point?
r(t) = <2 cos t, 2 sin t, 4>, P(2^(1/2), 2^(1/2), 4) <------ find t from P ? :?:

I looked all over the book but unable to find a way to find t using P... Can someone please point towards the right direction? thanks in advance good day!

 

[galactus]

It would appear they want you to find t by setting, for instance, \(\displaystyle 2cos(t)=\sqrt{2}\Rightarrow t=cos^{-1}(\frac{1}{\sqrt{2}})=\frac{\pi}{4}\)

 

[spacewater]

How did u get 2^(1/2) from 2 cos t?? :?:

 

[Deleted member 4993]

I have a problem finding the t from the given points
ie

r(t) ti + t^2j + tk, P( 0,0,0 ) <----- how can I find t from this point?
r(t) = <2 cos t, 2 sin t, 4>, P(2^(1/2), 2^(1/2), 4) <------ find t from P ? :?:

I looked all over the book but unable to find a way to find t using P... Can someone please point towards the right direction? thanks in advance good day!

Do you see it now?

 

[spacewater]

yea i see it now thank you :lol: