The length f, width w, and heighth of a box change with time. At a certain instant the dimensions are t-9 m and w=h=4 m, and t and w are increasing at a rate of 2 m/s while his decreasing at a rate of 3 m/s. At that instant find the rates at which the following quantities are changing. (a) The volume. x m/s (b) The surface area. m²/s (c) The length of a diagonal. Round your answer to two decimal places.) x m/s Need Help? Read V

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
The length , width w, and heighth of a box change with time. At a certain instant the dimensions are t-9 m and w=h=4 m, and t and w are increasing at a rate of 2 m/s while his decreasing at
a rate of 3 m/s. At that instant find the rates at which the following quantities are changing.
(a) The volume.
x m/s
(b) The surface area.
m²/s
(c) The length of a diagonal. Round your answer to two decimal places)
x m/s
Need Help?
Read
W
Transcribed Image Text:The length , width w, and heighth of a box change with time. At a certain instant the dimensions are t-9 m and w=h=4 m, and t and w are increasing at a rate of 2 m/s while his decreasing at a rate of 3 m/s. At that instant find the rates at which the following quantities are changing. (a) The volume. x m/s (b) The surface area. m²/s (c) The length of a diagonal. Round your answer to two decimal places) x m/s Need Help? Read W
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