The density of oil in a circular oil slick on the surface of the ocean at a distance r meters from the center of the slick is 50 given by 8(r) = - kg/m². a) Write an integral that represents the total mass of the oil if the slick extends from 10000 meters from its center. b) Evaluate your integral to find the total mass of the oil if the slick extends from 10000 meters from its center.

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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a) So
10000 (100r
dr
b) 3,138,699 kg
c) 5003 m
1+r
Transcribed Image Text:a) So 10000 (100r dr b) 3,138,699 kg c) 5003 m 1+r
The density of oil in a circular oil slick on the surface of the ocean at a distance r meters from the center of the slick is
50
given by 8(r) = ;
kg/m².
r+1
a) Write an integral that represents the total mass of the oil if the slick extends from 10000 meters from its center.
b) Evaluate your integral to find the total mass of the oil if the slick extends from 10000 meters from its center.
c) Within what distance r is half of the slick contained?
Transcribed Image Text:The density of oil in a circular oil slick on the surface of the ocean at a distance r meters from the center of the slick is 50 given by 8(r) = ; kg/m². r+1 a) Write an integral that represents the total mass of the oil if the slick extends from 10000 meters from its center. b) Evaluate your integral to find the total mass of the oil if the slick extends from 10000 meters from its center. c) Within what distance r is half of the slick contained?
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