Consider the following.\

r(t)=(:6t,t^(2),(1)/(9)t^(3):)

\ Find

r^(')(t)

.\

r^(')(t)=

\ Find

|r^(')(t)|

for

0

\

|r^(')(t)|=

\ Find the length of the curve.\

r(t)=(:6t,t^(2),(1)/(9)t^(3):),0

Consider the following. r(t)=6t,t2,91t3 Find r(t). r(t)= Find r(t) for 0t1 r(t)= Find the length of the curve. r(t)=6t,t2,91t3,0t1