2) What is the area, volume and their approximate uncertainties, of a circle of radius 5.1x104 cm? Check your result using Binomial expansion, i.e. n(n - 1) - n(n − 1)(n − 2) - (1 + x)" = 1 ± nx + x²± ·x² + 2! 3! ≈ 1 ± nx (if x <<1) [Binomial approximation]

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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2) What is the area, volume and their approximate uncertainties, of a circle of radius 5.1x104 cm? Check your
result using Binomial expansion, i.e.
n(n - 1)
-
n(n − 1)(n − 2)
-
(1 + x)"
= 1 ± nx +
x²±
·x² +
2!
3!
≈ 1 ± nx
(if x <<1)
[Binomial approximation]
Transcribed Image Text:2) What is the area, volume and their approximate uncertainties, of a circle of radius 5.1x104 cm? Check your result using Binomial expansion, i.e. n(n - 1) - n(n − 1)(n − 2) - (1 + x)" = 1 ± nx + x²± ·x² + 2! 3! ≈ 1 ± nx (if x <<1) [Binomial approximation]
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