Using double integration, find the area for x > 0 that is enclosed by the y-axis, the curve y = 4−x^2 and the line y = 3x. Sketch the area of integration.
Using double integration, find the area for x > 0 that is enclosed by the y-axis, the curve y = 4−x^2 and the line y = 3x. Sketch the area of integration.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Question
Using double
the curve y = 4−x^2
and the line y = 3x.
Sketch the area of integration.
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Follow-up Question
The area described in question 1(b) is filled by a flat metal plate with a surface
density σ = 3x. If the plate is secured to the y-axis by massless hinges,
calculate its moment of inertia about the y-axis.
[Note: the moment of inertia of a point mass, m is I = md^2
, where d is the
distance to the rotation axis under consideration].
Solution
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