A rectangular box with a volume of 720 ft is

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...
Question
A rectangular box with a volume of 720 ft° is to be constructed with a square base and top. The cost per square foot for the bottom is 15¢, for the top is 10¢, and for the sides is 1.5¢. What
dimensions will minimize the cost?
What are the dimensions of the box?
The length of one side of the base is
The height of the box is
(Round to one decimal place as needed.)
Transcribed Image Text:A rectangular box with a volume of 720 ft° is to be constructed with a square base and top. The cost per square foot for the bottom is 15¢, for the top is 10¢, and for the sides is 1.5¢. What dimensions will minimize the cost? What are the dimensions of the box? The length of one side of the base is The height of the box is (Round to one decimal place as needed.)
Find the relative extreme points of the function, if they exist. Then sketch a graph of the function.
- 18
G(x) =
x* +2
Identify all the relative minimum points. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The relative minimum point(s) is/are
(Simplify your answer. Use integers or fractions for any numbers in the expression. Type an ordered pair. Use a comma to separate answers as needed.)
O B. There are no relative minimum points.
Identify all the relative maximum points. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. The relative maximum point(s) is/are
(Simplify your answer. Use integers or fractions for any numbers in the expression. Type an ordered pair. Use a comma to separate answers as needed.)
B. There are no relative maximum points.
Choose the correct graph below.
OA.
C.
O D.
Ay
10-
.y
y
10-
X
X
-10
10
-10
10
10
10
L10–
L10-
B.
Transcribed Image Text:Find the relative extreme points of the function, if they exist. Then sketch a graph of the function. - 18 G(x) = x* +2 Identify all the relative minimum points. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The relative minimum point(s) is/are (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no relative minimum points. Identify all the relative maximum points. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The relative maximum point(s) is/are (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an ordered pair. Use a comma to separate answers as needed.) B. There are no relative maximum points. Choose the correct graph below. OA. C. O D. Ay 10- .y y 10- X X -10 10 -10 10 10 10 L10– L10- B.
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