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1. A forest fire leaves behind an area of grass burned in an expanding circular pattern. The radius of the circle of burning grass is given by r(t) = 2t +1 where t is the time in minutes and r is in feet. (a) Find a function that gives the area burned as a function of time. Remember, A= Tr2. (b) Find the total area burned after 5 minutes:

1. A forest fire leaves behind an area of grass burned in an expanding circular pattern. The radius of the circle of burning grass is given by r(t) = 2t +1 where t is the time in minutes and r is in feet. (a) Find a function that gives the area burned as a function of time. Remember, A= Tr2. (b) Find the total area burned after 5 minutes:

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. A forest fire leaves behind an area of grass burned in an expanding circular pattern. The radius of the circle of burning grass is given by r(t) = 2t +1 where t is the time in minutes and r is in feet. (a) Find a function that gives the area bured as a function of time. Remember, A = Tr?. (b) Find the total area burned after 5 minutes! 2. The circumference C of a circle is a function of its radius given by C(r) = 2rr where C and r are in meters. (a) Express the radius of the circle as a function of the circumference, r(C). (b) Find r(36) and interpret its meaning.
Transcribed Image Text:1. A forest fire leaves behind an area of grass burned in an expanding circular pattern. The radius of the circle of burning grass is given by r(t) = 2t +1 where t is the time in minutes and r is in feet. (a) Find a function that gives the area bured as a function of time. Remember, A = Tr?. (b) Find the total area burned after 5 minutes! 2. The circumference C of a circle is a function of its radius given by C(r) = 2rr where C and r are in meters. (a) Express the radius of the circle as a function of the circumference, r(C). (b) Find r(36) and interpret its meaning.
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