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(5) We wish to make a rectangular box with a square bottom and with no top, with volume 1024 cm³. The material for the bottom of the box costs $4 per cm². The material for the sides of the box costs $1 per cm². What dimensions should we make the box to minimize the cost?

(5) We wish to make a rectangular box with a square bottom and with no top, with volume 1024 cm³. The material for the bottom of the box costs $4 per cm². The material for the sides of the box costs $1 per cm². What dimensions should we make the box to minimize the cost?

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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(5) We wish to make a rectangular box with a square bottom and with no top, with volume 1024 cm3. The material for the bottom of the box costs $4 per cm². The material for the sides of the box costs $1 per cm?. What dimensions should we make the box to minimize the cost? (6) Use implicit differentiation to find d, where g³ + x²y? + y* = 19
Transcribed Image Text:(5) We wish to make a rectangular box with a square bottom and with no top, with volume 1024 cm3. The material for the bottom of the box costs $4 per cm². The material for the sides of the box costs $1 per cm?. What dimensions should we make the box to minimize the cost? (6) Use implicit differentiation to find d, where g³ + x²y? + y* = 19
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