Find the maximum product of two positive numbers given that the sum of the first number and twice the second number is 12. 1) 12 2) 36 3) there is no such maximum 4) 18

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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Find the maximum product of two positive numbers given that the sum of the first
number and twice the second number is 12.
O 1) 12
2) 36
3) there is no such maximum
4) 18
Transcribed Image Text:Find the maximum product of two positive numbers given that the sum of the first number and twice the second number is 12. O 1) 12 2) 36 3) there is no such maximum 4) 18
An open rectangular box has an area of 441 cm2. If its length must be 3 times its
width, find its dimensions so that its volume is a maximum.
O 1) 7.25 cm, 21.75 cm, 4 cm
O 2) 7 cm, 21 cm, 5.25 cm
O 3) 7 cm, 21 cm, 6.5 cm
O 4) 6.5 cm, 19.5 cm, 6 cm
Transcribed Image Text:An open rectangular box has an area of 441 cm2. If its length must be 3 times its width, find its dimensions so that its volume is a maximum. O 1) 7.25 cm, 21.75 cm, 4 cm O 2) 7 cm, 21 cm, 5.25 cm O 3) 7 cm, 21 cm, 6.5 cm O 4) 6.5 cm, 19.5 cm, 6 cm
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