(5) A unit disk centered at the origin is sliced so that the right portion has width h. De- rive a formula A(h) for the area of this slice. To find appropriate antiderivatives use WolframAlpha. Show verification that A(0) = 0 and A(2) = = π. f(x)=√1-x² h 1

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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(5) A unit disk centered at the origin is sliced so that the right portion has width h. De-
rive a formula A(h) for the area of this slice. To find appropriate antiderivatives use
WolframAlpha. Show verification that A(0) = 0 and A(2) = π.
o
f(x)=√1-x²
h
1
Transcribed Image Text:(5) A unit disk centered at the origin is sliced so that the right portion has width h. De- rive a formula A(h) for the area of this slice. To find appropriate antiderivatives use WolframAlpha. Show verification that A(0) = 0 and A(2) = π. o f(x)=√1-x² h 1
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