What is the equation that represents the Volume of the box as a function of the cutsize of the box? V(x)= ab 19 √a [a] 4x³-124 x² +880 x Number x What is the restricted domain of this problem? (That is, what x values "make sense"?) ≤ ≤ Number k What is the restricted range of this problem? (That is, what V values "make sense"?) Number ≤V(x) ≤ [Number (round to 1 decimal place) Number sin (a) To maximize the volume of the newly created box, how much should be cut from each corner? inches (round to 1 decimal place) What is the maximum volume the box can hold? V Number x = Number 3 in ³ (round to 1 decimal place) What is the largest cutsize you can cut out of the paper and still create a box with volume 1306 in ³ (round to 1 decimal place)
What is the equation that represents the Volume of the box as a function of the cutsize of the box? V(x)= ab 19 √a [a] 4x³-124 x² +880 x Number x What is the restricted domain of this problem? (That is, what x values "make sense"?) ≤ ≤ Number k What is the restricted range of this problem? (That is, what V values "make sense"?) Number ≤V(x) ≤ [Number (round to 1 decimal place) Number sin (a) To maximize the volume of the newly created box, how much should be cut from each corner? inches (round to 1 decimal place) What is the maximum volume the box can hold? V Number x = Number 3 in ³ (round to 1 decimal place) What is the largest cutsize you can cut out of the paper and still create a box with volume 1306 in ³ (round to 1 decimal place)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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only need the unanswered questions
![Remaining "How Did I Do?" Uses: 4/5
We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which measures 22 inches
wide and 40 inches long. We will remove a square of size "x" inches from each corner and turn up the edges.
1 =
TID
7
Once we remove the squares of size "x" inches from each corner and turn up the edges, we create a box: Label the
dimensions of the newly created box using the variable "X".
(40-2x)
a
|a|
I.
k
X
sin (a)
X
x
8
h=
x
29
W=
a
a
b
-2x)
22-22
√a [a] T
√a
al X
sin (a)
B
E
~
~
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e20038b-6107-400d-875f-ddd1164ccce3%2Fa557eafc-833e-4056-95b5-94eff754e63f%2F4pjh9kf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Remaining "How Did I Do?" Uses: 4/5
We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which measures 22 inches
wide and 40 inches long. We will remove a square of size "x" inches from each corner and turn up the edges.
1 =
TID
7
Once we remove the squares of size "x" inches from each corner and turn up the edges, we create a box: Label the
dimensions of the newly created box using the variable "X".
(40-2x)
a
|a|
I.
k
X
sin (a)
X
x
8
h=
x
29
W=
a
a
b
-2x)
22-22
√a [a] T
√a
al X
sin (a)
B
E
~
~
3
Transcribed Image Text:What is the equation that represents the Volume of the box as a function of the cutsize of the
box?
V(x) =
4 x
Σ
=
DE
b
V
Tal
va
124 x² +880 x
Number
What is the restricted domain of this problem? (That is, what x values "make sense"?)
Number
≤x≤ Number
T
What is the restricted range of this problem? (That is, what V values "make sense"?)
<V (x) ≤ Number
sin (a)
= Number
To maximize the volume of the newly created box, how much should be cut from each corner?
x = Number
inches (round to 1 decimal place)
What is the maximum volume the box can hold?
X = Number
E
in³
(round to 1 decimal place)
(round to 1 decimal place)
What is the largest cutsize you can cut out of the paper and still create a box with volume
1306 in ³?
(round to 1 decimal place)
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