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A trough with a rectangular base and rectangular sides has vertical trapezoidal ends and is 200 cm long, as shown in the adjacent diagram. The slant sides and the base of the trapez- ium are 30 cm long. 30 cm 200 cm 30 cm 30 cm How wide is the top of the trapezium, given that the trough has maximum volume?

A trough with a rectangular base and rectangular sides has vertical trapezoidal ends and is 200 cm long, as shown in the adjacent diagram. The slant sides and the base of the trapez- ium are 30 cm long. 30 cm 200 cm 30 cm 30 cm How wide is the top of the trapezium, given that the trough has maximum volume?

Calculus: Early Transcendentals
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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6. A trough with a rectangular base and rectangular sides has vertical trapezoidal ends and is 200 cm long, as shown in the adjacent diagram. The slant sides and the base of the trapez- ium are 30 cm long. 30 cm 200 cm 30 cm 30 cm How wide is the top of the trapezium, given that the trough has maximum volume? Use the First Derivative Test to justify that the volume is a maximum.
Transcribed Image Text:6. A trough with a rectangular base and rectangular sides has vertical trapezoidal ends and is 200 cm long, as shown in the adjacent diagram. The slant sides and the base of the trapez- ium are 30 cm long. 30 cm 200 cm 30 cm 30 cm How wide is the top of the trapezium, given that the trough has maximum volume? Use the First Derivative Test to justify that the volume is a maximum.
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