A rectangular page is to contain 64in2 of print. The margins on each side are to be lin. Find the dimensions of the page such that the least amount of paper is used.

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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1. A rectangular page is to contain 64in2 of print. The margins on each side are to be lin. Find the
dimensions of the page such that the least amount of paper is used.
X+2
A=xy=) 4=xy y=
64
eth
A= (x+ aN\y+a) → Cx+2)( 2) = 4 + ax • 2 4 = 68+ ax • 198x
%3D
= 68 + ax 138x'
A'= 2-128xa - 128
I-128
A's0: ax= 128 a x*= 64 = x= 18
A'und = x=0
%3D
relmin
abs.min
A'
8.
The dimensions ate:
X- 8 =), 8+a FT0in]
y= -83 842 =10 in
64
8.
%3D
10 in by 10 in
Transcribed Image Text:1. A rectangular page is to contain 64in2 of print. The margins on each side are to be lin. Find the dimensions of the page such that the least amount of paper is used. X+2 A=xy=) 4=xy y= 64 eth A= (x+ aN\y+a) → Cx+2)( 2) = 4 + ax • 2 4 = 68+ ax • 198x %3D = 68 + ax 138x' A'= 2-128xa - 128 I-128 A's0: ax= 128 a x*= 64 = x= 18 A'und = x=0 %3D relmin abs.min A' 8. The dimensions ate: X- 8 =), 8+a FT0in] y= -83 842 =10 in 64 8. %3D 10 in by 10 in
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