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1.  Consider the function \(f(x) = x^2\), on the interval \( (-1, 2)\).

a.  This function has no maximum and no minimum on this interval.

b.  This function has a maximum but no minimum on this interval.

c.  This function has a minimum but no maximum on this interval.

d.  This function has a minimum and a maximum on this interval.

2.  Consider the function \(f(x) = x^2\), on the interval \( [-2, 1)\).

a.  This function has no maximum and no minimum on this interval.

b.  This function has a maximum but no minimum on this interval.

c.  This function has a minimum but no maximum on this interval.

d.  This function has a minimum and a maximum on this interval.

3.  A spherical balloon is inflated with gas at the rate of 400 cubic centimeters per second (that is, the volume of the sphere is increasing at a rate of 400 cubic centimeters per second). How fast is the radius of the balloon increasing when the radius is 50 cm?
The volume of a sphere is \(\frac{4}{3}\pi\) times the radius cubed.

a.  \(\frac{0.02}{\pi}\) cm/s

b.  \(\frac{0.04}{\pi}\)cm/s

c.  \(\frac{0.2}{\pi}\) cm/s

d.  \(\frac{0.4}{\pi}\) cm/s

e.  2 \(\pi\) cm/s