15 79. PACKAGING COSTS A rectangular box is to have a square base and a volume of 20 ft³. The material for the base costs 30¢/ft², the material for the sides costs 10¢/ft², and the material for the top costs 20¢/ft². Letting x denote the length of one side of the base, find a function in the vari- able x giving the cost of constructing the box. x- X y

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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Packing costs

 

TOLLE
ply func-
x is mea-
quantity
ire Com-
nd supply
dx is mea-
um quantity
ctangular
ng with
the width
x giving the
board
aways have dimension
giving the volume of the resulting box.
X
8 8-2r
X
15-2xx
-15
X
X
X
79. PACKAGING COSTS A rectangular box is to have a square
base and a volume of 20 ft³. The material for the base
costs 30¢/ft², the material for the sides costs 10¢/ft², and
the material for the top costs 20¢/ft². Letting x denote the
length of one side of the base, find a function in the vari-
able x giving the cost of constructing the box.
y
X
80. AREA OF A NORMAN WINDOW A Norman window has the
accompanying figure). Suppose a Norman window is to
shape of a rectangle surmounted by a semicircle (see the
have a perimeter of 28 ft. Find a function in the variable
giving the area of the window.
8
Transcribed Image Text:TOLLE ply func- x is mea- quantity ire Com- nd supply dx is mea- um quantity ctangular ng with the width x giving the board aways have dimension giving the volume of the resulting box. X 8 8-2r X 15-2xx -15 X X X 79. PACKAGING COSTS A rectangular box is to have a square base and a volume of 20 ft³. The material for the base costs 30¢/ft², the material for the sides costs 10¢/ft², and the material for the top costs 20¢/ft². Letting x denote the length of one side of the base, find a function in the vari- able x giving the cost of constructing the box. y X 80. AREA OF A NORMAN WINDOW A Norman window has the accompanying figure). Suppose a Norman window is to shape of a rectangle surmounted by a semicircle (see the have a perimeter of 28 ft. Find a function in the variable giving the area of the window. 8
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