) find the average rate of change of the area of a circle with respect to its radius r as r changes from (i) 2 to 3 (ii) 2 to 2.5 (iii) 2 to 2.1 (b) find the instantaneous rate of change when r ? 2. (c) show that the rate of change of the area of a circle with respect to its radius (at any r) is equal to the circumference of the circle. try to explain geometrically why this is true by drawing a circle whose radius is increased by an amount dr. how can you approximate the resulting change in area da if dr is small?
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Category: literature | Author: Torquil Vilhelm
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