Question: (a) Consider a circular oil slick that forms on the surface of a large lake. When the radius of the oil slick is 170

(a) Consider a circular oil slick that forms on the surface of a large lake. When the radius of the oil slick is 170 meters, the radius is expanding by 0.8 meter/minute. At that moment, how fast is the area of the slick expanding? Convert your answer to square meters per second. Give an exact answer m/sec (b) Now let's consider the volume of another circular oil slick. For simplicity, think of the slick as a thin cylinder with uniform height. When the radius of this oil slick is 30 cm and the height is 3 cm, the radius is increasing by R cm/min and the height is decreasing by H cm/min. How fast the volume of the oil changing in cm/min? Your answer will have R and H in it. cm/min

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