Suppose that the shock wave from a meteor impact is a circle whose radius expands at 400 meters per second. write an equation relating the area of that circle to its radius. From this equation, please write a second equation relating the rates of change of radius and area. How quickly is the enclosed area growing when the radius is 100m? How quickly when the radius is 1000m?
Suppose that the shock wave from a meteor impact is a circle whose radius expands at 400 meters per second. write an equation relating the area of that circle to its radius. From this equation, please write a second equation relating the rates of change of radius and area. How quickly is the enclosed area growing when the radius is 100m? How quickly when the radius is 1000m?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.9: Direct Variation
Problem 15P
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Suppose that the shock wave from a meteor impact is a circle whose radius expands at 400 meters per second.
- write an equation relating the area of that circle to its radius.
- From this equation, please write a second equation relating the rates of change of radius and area.
- How quickly is the enclosed area growing when the radius is 100m? How quickly when the radius is 1000m?
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