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A cylindrical can has a radius of Sº, a height of h and a slip-on lid of fixed length a. If the can and its lid are to be made from A cm² of metal, our goal is to show that

A cylindrical can has a radius of Sº, a height of h and a slip-on lid of fixed length a. If the can and its lid are to be made from A cm² of metal, our goal is to show that

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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A cylindrical can has a radius of , a height of hand a slip-on lid of fixed length a. If the can and its lid are to be made from A cm² of metal, our goal is to show that the can has a maximum volume when h 2ra. SEEKERDA Note: to keep it simple, we'll ignore the thickness of the metal, so the height of the can ish with or without the lid and the can and the lid have the same radius 7º. h
Transcribed Image Text:A cylindrical can has a radius of , a height of hand a slip-on lid of fixed length a. If the can and its lid are to be made from A cm² of metal, our goal is to show that the can has a maximum volume when h 2ra. SEEKERDA Note: to keep it simple, we'll ignore the thickness of the metal, so the height of the can ish with or without the lid and the can and the lid have the same radius 7º. h
| h - Can Lid (a) Find an expression for the volume of the can. (b) Find the total surface area S of the can and the lid. (c) If the can and its lid are to be made from A cm² of metal, show that the can has a maximum volume when h 2ra. USSIONT
Transcribed Image Text:| h - Can Lid (a) Find an expression for the volume of the can. (b) Find the total surface area S of the can and the lid. (c) If the can and its lid are to be made from A cm² of metal, show that the can has a maximum volume when h 2ra. USSIONT
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