Mathematics

Mathematics

Problem

Let

x=t^{3}-6t

and

y=t^{2}-4

for real

t

. For which value(s) of

t

does

y

achieve a relative maximum with respect to

x

? a)

t=\pm\sqrt{2}

only b)

t=0

only c) No value of

t

yields a relative maximum d)

t=0

and

t=\pm\sqrt{2}

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