A trough filled with water is 2 m long and has a cross section in the shape of an isosceles trapezoid 30 cm wide at the bottom, 60 cm wide at the top, and a height of 50 cm. If the through leaks water at the rate of 2000 cm/min, how fast is the water level falling when the water is 20 cm deep ? A. -5/21 cm/s B. -3/45 cm/s C. -4/23 cm/s D. -3/54 cm/s

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 trough filled with water is 2 m long and has a cross section in the shape of an isosceles
trapezoid 30 cm wide at the bottom, 60 cm wide at the top, and a height of 50 cm. If the
through leaks water at the rate of 2000 cm/min, how fast is the water level falling when
the water is 20 cm deep ?
A. -5/21 cm/s
B. -3/45 cm/s
C. -4/23 cm/s
D. -3/54 cm/s
Transcribed Image Text:A trough filled with water is 2 m long and has a cross section in the shape of an isosceles trapezoid 30 cm wide at the bottom, 60 cm wide at the top, and a height of 50 cm. If the through leaks water at the rate of 2000 cm/min, how fast is the water level falling when the water is 20 cm deep ? A. -5/21 cm/s B. -3/45 cm/s C. -4/23 cm/s D. -3/54 cm/s
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