(a) Find the average rate of change of the area of a circle with respect to its...
Question:
(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 ∆r. How can you approximate the resulting change in area ∆r if is small?
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a Using Ar r we find that the average rate of change is 9 ...View the full answer
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Anurag Agrawal
I am a highly enthusiastic person who likes to explain concepts in simplified language. Be it in my job role as a manager of 4 people or when I used to take classes for specially able kids at our university. I did this continuously for 3 years and my god, that was so fulfilling. Sometimes I've skipped my own classes just to teach these kids and help them get their fair share of opportunities, which they would have missed out on. This was the key driver for me during that time. But since I've joined my job I wasn't able to make time for my passion of teaching due to hectic schedules. But now I've made a commitment to teach for at least an hour a day.
I am highly proficient in school level math and science and reasonably good for college level. In addition to this I am especially interested in courses related to finance and economics. In quest to learn I recently gave the CFA level 1 in Dec 19, hopefully I'll clear it. Finger's crossed :)
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