(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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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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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