The function is continuous for and is given by

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The function

f

is continuous for

t\ge 0

and is given by

f(t)=6-t^{2}

. For which of the following values of

k>0

is the average value of

f

[0,k]

equal to

4

? (a)

3

(b)

\sqrt{6}

(c)

\sqrt{12}

(d)

\sqrt{2}