Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in. / min. Complete parts (a) and (b). How fast is the level in the pot rising when the coffee in the cone is 2 in. deep? 0.716 in. /min (Round to three decimal places as needed.) b. How fast is the level in the cone falling then? (Round to three decimal places as needed.)

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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Part B.
Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in. / min. Complete parts (a) and (b).
a. How fast is the level in the pot rising when the coffee in the cone is 2 in. deep?
0.716 in. /min
(Round to three decimal places as needed.)
b. How fast is the level in the cone falling then?
(Round to three decimal places as needed.)
Transcribed Image Text:Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in. / min. Complete parts (a) and (b). a. How fast is the level in the pot rising when the coffee in the cone is 2 in. deep? 0.716 in. /min (Round to three decimal places as needed.) b. How fast is the level in the cone falling then? (Round to three decimal places as needed.)
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