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Q2: The body shown in figure is a rectangular box whose dimensions are L (length), B (width), H (height). It is hollowed by a cylinder with dimensions R (base radius) and H (height). The dimensions at any instant (t) are: i L = √e² — t², B = t³ + 2/2/2 H = 2cosht 7 R = t + Int The volume of the box is (Vbox = LBH) and the volume of cylinder is (Vcylinder = R²H). dv Find the rate of change of the volume for this body at t = 2. dt

Q2: The body shown in figure is a rectangular box whose dimensions are L (length), B (width), H (height). It is hollowed by a cylinder with dimensions R (base radius) and H (height). The dimensions at any instant (t) are: i L = √e² — t², B = t³ + 2/2/2 H = 2cosht 7 R = t + Int The volume of the box is (Vbox = LBH) and the volume of cylinder is (Vcylinder = R²H). dv Find the rate of change of the volume for this body at t = 2. dt

Advanced Engineering Mathematics
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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Q2: The body shown in figure is a rectangular box whose dimensions are L (length), B (width), H (height). It is hollowed by a cylinder with dimensions R (base radius) and H (height). The dimensions at any instant (t) are: A L = √e² - t², B = t³ + 7/²/2 H = 2cosht " R = t + Int The volume of the box is (Vbox = LBH) and the volume of cylinder is (Vcylinder = πR²H). dv Find the rate of change of the volume for this body at t = 2. dt
Transcribed Image Text:Q2: The body shown in figure is a rectangular box whose dimensions are L (length), B (width), H (height). It is hollowed by a cylinder with dimensions R (base radius) and H (height). The dimensions at any instant (t) are: A L = √e² - t², B = t³ + 7/²/2 H = 2cosht " R = t + Int The volume of the box is (Vbox = LBH) and the volume of cylinder is (Vcylinder = πR²H). dv Find the rate of change of the volume for this body at t = 2. dt
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