Suppose the edge lengths of x, y, and z of a closed rectangular box are changing at the following rates: dx dy dz dt=1 m/sec, t= -2 m/sec, = 1 m/sec. Find the rates at which the box's volume, surface area, and diagonal length s=√x² + y² +2² are changing at the instant x=4, y=3, and z=2. dt dt a) https://mylab.pearson.com/Student/PlayerHomework.aspx?homeworkId=644835719&questionId=4&flushed=false&cid=7318436¢erwin=yes C) dv at 0.26 m S m S G A

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Chapter1: Functions And Models
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℗ Do Homework - Section 3.10 - Profile 1 - Microsoft Edge
Suppose the edge lengths of x, y, and z of a closed rectangular box are changing at the following rates:
dy
dz
https://mylab.pearson.com/Student/PlayerHomework.aspx?homeworkId=644835719&questionid=4&flushed=false&cld=7318436&centerwin=yes
dx
1 m/sec,= - 2 m/sec, = 1 m/sec. Find the rates at which the box's volume, surface area, and diagonal length s = √√x² + y² + z² are changing at the instant x=4, y=3, and z=2.
2
2
2
dt
dt
dt
dV
a)
dt
b)
c)
ds
dt
dl
=
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Transcribed Image Text:℗ Do Homework - Section 3.10 - Profile 1 - Microsoft Edge Suppose the edge lengths of x, y, and z of a closed rectangular box are changing at the following rates: dy dz https://mylab.pearson.com/Student/PlayerHomework.aspx?homeworkId=644835719&questionid=4&flushed=false&cld=7318436&centerwin=yes dx 1 m/sec,= - 2 m/sec, = 1 m/sec. Find the rates at which the box's volume, surface area, and diagonal length s = √√x² + y² + z² are changing at the instant x=4, y=3, and z=2. 2 2 2 dt dt dt dV a) dt b) c) ds dt dl = "E" "E" 52°F Partly cloudy m ES 2 m ▬▬ ▬▬▬ Q Search C... U IN hulu 1:57 AM 4/22/2023 x A
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