Can you please do $9$ step by step and the graphing also?

In Problems $1-10,$ graph the curve traced by the given vector function.

$r(t)=2sinti+4costj+tk$;$t0$

$r(t)=costi+tj+sintk$;$t0$

$r(t)=ti+2tj+costk$;$t0$

$r(t)=4i+2costj+3sintk$

$r(t)=($:$e^t,e^{2t}$:$)$

$r(t)=coshti+3sinhtj$

$r(t)=($:$\sqrt[\phantom{2}]{2}sint,\sqrt[\phantom{2}]{2}sint,2cost$:$)$;$0t\frac{}{2}$

$r(t)=ti+t^{3}j+tk$

$r(t)=e^{t}costi+e^{t}sintj+e^{t}k$

$r(t)=($:$tcost,tsint,t^2$:$)$