If an open box is made from a tin sheet 9 in. square by cutting out identical squares from each corner and bending up the resulting flaps (see figure), determine the length of the side of the square at each corner that will maximize the volume of the resulting box. 9 − 2x Let x be the length (in in.) of the side of the square at each corner. x = Correct: Your answer is correct. in. (Round your answers to two decimal places, if necessary.) Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f(x) = (9−2x)2 Incorrect: Your answer is incorrect. (b) State the domain of this function. (Enter your answer using interval notation.) [0,∞) Incorrect: Your answer is incorrect.
If an open box is made from a tin sheet 9 in. square by cutting out identical squares from each corner and bending up the resulting flaps (see figure), determine the length of the side of the square at each corner that will maximize the volume of the resulting box. 9 − 2x Let x be the length (in in.) of the side of the square at each corner. x = Correct: Your answer is correct. in. (Round your answers to two decimal places, if necessary.) Complete the following parts. (a) Give a function f in the variable x for the quantity to be optimized. f(x) = (9−2x)2 Incorrect: Your answer is incorrect. (b) State the domain of this function. (Enter your answer using interval notation.) [0,∞) Incorrect: Your answer is incorrect.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
Related questions
Question
If an open box is made from a tin sheet 9 in. square by cutting out identical squares from each corner and bending up the resulting flaps (see figure), determine the length of the side of the square at each corner that will maximize the volume of the resulting box.
9 − 2x
Let x be the length (in in.) of the side of the square at each corner.
x =
Correct: Your answer is correct.
in. (Round your answers to two decimal places, if necessary.)
Complete the following parts.
(a) Give a function f in the variable x for the quantity to be optimized.
f(x) = (9−2x)2
Incorrect: Your answer is incorrect.
(b) State the domain of this function. (Enter your answer using interval notation.)
[0,∞)
Incorrect: Your answer is incorrect.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL