An open box of maximum volume is to be made from a square piece of material, s = 30 centimeters on a side, by cutting equal squares from the corners ana turning up the sides (see figure). HER S- 2r (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Height, x Length and Width Volume, V 1 30 - 2(1) 1[30 - 2(1)]2 = 784 2 30 - 2(2) 2[30 – 2(2)]2 = 1352 30 – 2(3) 3[30 – 2(3)]2 =| 30 - 2(4) 4[30 – 2(4)]² = | 4 5 30 - 2(5) 5(30 – 2(5)]² = | 6 30 - 2(6) 6(30 - 2(6)]? =| Use the table to guess the maximum volume. V = (b) Write the volume V as a function of x.
An open box of maximum volume is to be made from a square piece of material, s = 30 centimeters on a side, by cutting equal squares from the corners ana turning up the sides (see figure). HER S- 2r (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Height, x Length and Width Volume, V 1 30 - 2(1) 1[30 - 2(1)]2 = 784 2 30 - 2(2) 2[30 – 2(2)]2 = 1352 30 – 2(3) 3[30 – 2(3)]2 =| 30 - 2(4) 4[30 – 2(4)]² = | 4 5 30 - 2(5) 5(30 – 2(5)]² = | 6 30 - 2(6) 6(30 - 2(6)]? =| Use the table to guess the maximum volume. V = (b) Write the volume V as a function of x.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![HER
An open box of maximum volume is to be made from a square piece of material, s = 30 centimeters on a side, by cutting equal squares from the corners ana turning up the sides (see figure).
21
(a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.)
Height, x
Length and
Width
Volume, V
1
30 - 2(1)
1[30 - 2(1)]2 = 784
30 - 2(2)
2[30 - 2(2)]2 = 1352
2
3
30 - 2(3) 3[30 – 2(3)]? =|
4
30 – 2(4) |4[30 – 2(4)]2 = |
30 - 2(5) 5(30 – 2(5)]² =
6
30 - 2(6)
6[ 30 – 2(6)]2 =
Use the table to guess the maximum volume.
V =
(b) Write the volume V as a function of x.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c5fe566-75b7-43a5-867a-eaca1bab58fe%2F558881e0-bcee-4809-b05f-e2027410c41f%2F2vnp6sp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:HER
An open box of maximum volume is to be made from a square piece of material, s = 30 centimeters on a side, by cutting equal squares from the corners ana turning up the sides (see figure).
21
(a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.)
Height, x
Length and
Width
Volume, V
1
30 - 2(1)
1[30 - 2(1)]2 = 784
30 - 2(2)
2[30 - 2(2)]2 = 1352
2
3
30 - 2(3) 3[30 – 2(3)]? =|
4
30 – 2(4) |4[30 – 2(4)]2 = |
30 - 2(5) 5(30 – 2(5)]² =
6
30 - 2(6)
6[ 30 – 2(6)]2 =
Use the table to guess the maximum volume.
V =
(b) Write the volume V as a function of x.
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