A flat rectangular piece of cardboard of dimensions 6 cm by 10 cm is transformed into an open-top box by cutting equal-area squares from each of its four corners and folding along lines where the cuts were made. (A picture is included below.) For example, cutting squares of size 1 cm by 1 cm, would yield a box of height • ! cm with a base of dimension 4 cr: by 8 cm. Use calculu. to determine the maximum volume of such an

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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2. A flat rectangular piece of cardboard of dimensions 6 cm by 10 cm is transformed into an open-top box by cutting equal-area squares from each of its four corners and folding along lines where the cuts were made. (A picture is included below.) For example, cutting squares of size 1 cm by 1 cm, would yield a box of height • ! cm with a base of dimension 4 cr: by 8 cm. Use calculu. to determine the maximum volume of such an
15 PM Thu Dec 1
5
2. A flat rectangular piece of cardboard of dimensions 6 cm by 10 cm is transformed into an open-top box by
cutting equal-area squares from each of its four corners and folding along lines where the cuts were made.
(A picture is included below.) For example, cutting squares of size 1 cm by 1 cm, would yield a box of height
1 cm with a base of dimension 4 cm by 8 cm. Use calculus to determine the maximum volume of such an
- 10
open-top box that can result.
6
X
X
الدم ١٨ )
x
x
тод
Objective Lunction: Volume = l.w.n
6
16--
x
x
O find constrain ezation and objective function.
x
x
;
***2
Transcribed Image Text:15 PM Thu Dec 1 5 2. A flat rectangular piece of cardboard of dimensions 6 cm by 10 cm is transformed into an open-top box by cutting equal-area squares from each of its four corners and folding along lines where the cuts were made. (A picture is included below.) For example, cutting squares of size 1 cm by 1 cm, would yield a box of height 1 cm with a base of dimension 4 cm by 8 cm. Use calculus to determine the maximum volume of such an - 10 open-top box that can result. 6 X X الدم ١٨ ) x x тод Objective Lunction: Volume = l.w.n 6 16-- x x O find constrain ezation and objective function. x x ; ***2
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