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9- Changing dimensions in a box The lengths a, b, and c of the edges of a rectangular box are changing with time. At the instant in ques- tion, a 1 m, b 2 m, c = 3 m, da/dt and de/dt = -3 m/sec. At what rates are the box's volume V and surface area S changing at that instant? Are the box's interior di- agonals increasing in length or decreasing? = db/dt = 1 m/sec, %3D %3D

9- Changing dimensions in a box The lengths a, b, and c of the edges of a rectangular box are changing with time. At the instant in ques- tion, a 1 m, b 2 m, c = 3 m, da/dt and de/dt = -3 m/sec. At what rates are the box's volume V and surface area S changing at that instant? Are the box's interior di- agonals increasing in length or decreasing? = db/dt = 1 m/sec, %3D %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 78E
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9- Changing dimensions in a box The lengths a, b, and c of the edges of a rectangular box are changing with time. At the instant in ques- tion, a = 1 m, b = 2 m, c 3 m, da/dt = and de/dt = -3 m/sec. At what rates are the box's volume V and surface area S changing at that instant? Are the box's interior di- agonals increasing in length or decreasing? db/dt = 1 m/sec, %3D %3D
Transcribed Image Text:9- Changing dimensions in a box The lengths a, b, and c of the edges of a rectangular box are changing with time. At the instant in ques- tion, a = 1 m, b = 2 m, c 3 m, da/dt = and de/dt = -3 m/sec. At what rates are the box's volume V and surface area S changing at that instant? Are the box's interior di- agonals increasing in length or decreasing? db/dt = 1 m/sec, %3D %3D
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