In parts (a)(d), let A be the area of a circle of radius r,and assume that r increases
Chapter 3, Problem 6(choose chapter or problem)
In parts \((a)–(d)\), let \(A\) be the area of a circle of radius \(r\), and assume that \(r\) increases with the time \(t\).
(a) Draw a picture of the circle with the labels \(A\) and \(r\) placed appropriately.
(b) Write an equation that relates \(A\) and \(r\).
(c) Use the equation in part (b) to find an equation that relates dA/dt and dr/dt.
(d) At a certain instant the radius is 5 cm and increasing at the rate of 2 cm/s. How fast is the area increasing at that instant?
Equation Transcription:
(a)-(d)
A
r
t
Text Transcription:
(a)-(d)
A
r
t
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