find the domain of the the vector function Rtt2t2 sint ln 2

Solution

r(t)=((t-2)/(t+2))i+sin(t)j+ln(9-t^2)k; ? domain of (t-2)/(t+2) is all t, but t=-2 (see denominator); ? domain of sin(t) is all t; domain of ln(9-t^2) is all t, where 9-t^2 >0, that is –3