Consider the vector valued function
r⃗ (t)=〈cos2(t2+t),tan(t),4−t−−−−√〉.r→(t)=〈cos2(t2+t),tan(t),4−t〉.
(i) (6 points) What is the domain of r⃗ (t)r→(t)?
(ii) (7 points) Determine the derivative r⃗ ′(t)r→′(t).
(iii) (5 points) Determine limt→0r⃗ (t)limt→0r→(t).
