14. Give a geometric explanation of why 2π/n 1-2 0 r² do = лr² 2 for any positive real number r and any positive integer n. Would the equation also hold for non-integer values of n?

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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14. Give a geometric explanation of why
2π/n
2/2
n
0
r² do = лr²
2
πr2
for any positive real number r and any positive integer n.
Would the equation also hold for non-integer values of n?
Transcribed Image Text:14. Give a geometric explanation of why 2π/n 2/2 n 0 r² do = лr² 2 πr2 for any positive real number r and any positive integer n. Would the equation also hold for non-integer values of n?
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