Mathematics

Problem

A curve is defined parametrically by

x(t)=t

and

y(t)=t^{4}-6t^{2}

for

-3\le t\le 3

. For which value(s) of

t

does the curve have a point of inflection? a)

t=0,\;\pm\sqrt{3}

t=-1\;\text{and}\;t=1

c) There are no points of inflection on the curve in the given interval d)

t=1

only