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25. An open-topped cylindrical pot is to have volume 250 cm³. The material for the bottom of the pot costs 4 cents per cm²; that for its curved side costs 2 cents per cm². What dimensions will minimize the total cost of this pot?

25. An open-topped cylindrical pot is to have volume 250 cm³. The material for the bottom of the pot costs 4 cents per cm²; that for its curved side costs 2 cents per cm². What dimensions will minimize the total cost of this pot?

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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25. An open-topped cylindrical pot is to have volume 250 cm³. The material for the bottom of the pot costs 4 cents per cm²; that for its curved side costs 2 cents per cm². What dimensions will minimize the total cost of this pot? 26. Cylindrical soup cans are to be manufactured to contain a given volume V. No waste is involved in cutting the material for the vertical side of each can, but each top and bottom which are circles of radius r, are cut from a square that measures 2r units on each side. Thus the material used to manufacture
Transcribed Image Text:25. An open-topped cylindrical pot is to have volume 250 cm³. The material for the bottom of the pot costs 4 cents per cm²; that for its curved side costs 2 cents per cm². What dimensions will minimize the total cost of this pot? 26. Cylindrical soup cans are to be manufactured to contain a given volume V. No waste is involved in cutting the material for the vertical side of each can, but each top and bottom which are circles of radius r, are cut from a square that measures 2r units on each side. Thus the material used to manufacture
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