1. A cylindrical tank with radius 8 m. is being filled with water at the rate
of 5 m3/sec but water is leaking out at the rate of 2 m3/sec. How fast is
the level of the water increasing?
2. Consider f(x) = x
4 − 2x
3 + 1 on the interval [0, 2]. Find the critical
numbers and absolute maximum and absolute minimum on this interval
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