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  3. a the three difference quotients are represented geometrically for f48306...

Question: a the three difference quotients are represented geometrically for f48306...

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a. The three difference quotients f(r + Ar)/Ar: f(r + Ar) _ f(r-Ar)/2Ar: andf(r) _ f(r-Ar/Ar are represented geometrically for f(48)=306. What is \Delta x? (Answer: 12)

b. What is the value of each difference quotient for f(20)=270? (Answers are:

f(x+\Delta x)/\Delta x=38.3 ; f(x+\Delta x)-f(x-\Delta x)/2\Delta x =25.5; and f(x)-f(x-\Delta x)/\Delta x=12.8

c. What is the limit of each difference quotient as \Delta x\rightarrow 0 for f(48)=306? Points are at (36,153), (48, 306), and (60,765)

I have figured out the answers to parts a and b, but unable to correctly calculate part c. Thanks

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