Assume a circle is expanding with time where r = t + 3. What is the formula for the rate of change of the area of the circle with respect to time? dA = 2r(t + 3)² dt dA = -2a(t + 3) dt dA = 27(t + 3) dt dA = T(t + 3) dt
Assume a circle is expanding with time where r = t + 3. What is the formula for the rate of change of the area of the circle with respect to time? dA = 2r(t + 3)² dt dA = -2a(t + 3) dt dA = 27(t + 3) dt dA = T(t + 3) dt
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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Transcribed Image Text:Assume a circle is expanding with time wherer = t + 3.
What is the formula for the rate of change of the area of the circle with respect to time?
dA
= 2a(t + 3)²
dt
dA
= -27(t + 3)
dt
dA
= 27(t + 3)
dt
dA
= T(t + 3)
dt
Transcribed Image Text:Assume that a rectangle with sides x and y is expanding with time. Let y = 3x and x(t) = 4t + 1.
%3D
What is the formula for the rate of change of the area with respect to time?
dA
= 2(4t + 1)
dt
dA
= 24(4t + 1)
dt
dA
= 16(4t + 1)
dt
dA
= 8(4t + 1)
dt
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