The area of a circle is increasing at a rate of 8cm³/sec. How fast is the radius of the circle increasing when the radius is equal to 4cm?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve problem 3

y = xarctan (x²)
3]
The area of a circle is increasing at a rate of 8cm³/sec. How fast is the radius of the
circle increasing when the radius is equal to 4cm?
A box with a square base and open top must have a volume of 4,000 cm³. Find the
Transcribed Image Text:y = xarctan (x²) 3] The area of a circle is increasing at a rate of 8cm³/sec. How fast is the radius of the circle increasing when the radius is equal to 4cm? A box with a square base and open top must have a volume of 4,000 cm³. Find the
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