Mathematics

Problem

The curve given by

x=t^{2}-4t

and

y=t^{3}-6t^{2}+9t

is considered for

0\to 5

. At which of the following

t

–values does

y

attain relative minima with respect to

x

? a)

t=3\,\text{ only}

t=1\,\text{ and }\,t=3

t=2\,\text{ only}

t=1\,\text{ only}