A swimming pool is 50 m long and 20 m wide. Its depth decreases linearly along the length from 3 m to 1 m. It is Inflow 1 m² /m nitially empty and is filled at a rate of 1 m /min. How fast is the water level rising 250 min after the filling pegins? How long will it take to fill the pool?

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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A swimming pool is 50 m long and 20 m wide. Its depth decreases linearly along the length from 3 m to 1 m. It is infiow 1 m'/min
initially empty and is filled at a rate of 1 m /min. How fast is the water level rising 250 min after the filling
50 m
begins? How long will it take to fill the pool?
20 m
1 m
3 m
Let V, h, and w be the volume, depth, and width of the pool, respectively. Write an equation relating V and h at 250 min after the filling begins.
Transcribed Image Text:A swimming pool is 50 m long and 20 m wide. Its depth decreases linearly along the length from 3 m to 1 m. It is infiow 1 m'/min initially empty and is filled at a rate of 1 m /min. How fast is the water level rising 250 min after the filling 50 m begins? How long will it take to fill the pool? 20 m 1 m 3 m Let V, h, and w be the volume, depth, and width of the pool, respectively. Write an equation relating V and h at 250 min after the filling begins.
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