3. If we have a box with sides of length x, y and z and we know that dx 5m/s, * = -1m/s and = 2m/s, find the requested rates when x = 3m, y = 7m and z = 1m. %3D dt (a) The rate at which the volume is changing. 0r elevtri ngvis ar no anoioml g woliot or 1ol E e tuloadedt bold (b) The rate at which the surface area is changing. (c) The rate at which the diagonal length (the length between opposite corners) is changing. ()
3. If we have a box with sides of length x, y and z and we know that dx 5m/s, * = -1m/s and = 2m/s, find the requested rates when x = 3m, y = 7m and z = 1m. %3D dt (a) The rate at which the volume is changing. 0r elevtri ngvis ar no anoioml g woliot or 1ol E e tuloadedt bold (b) The rate at which the surface area is changing. (c) The rate at which the diagonal length (the length between opposite corners) is changing. ()
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please draw the picture as well and solve 3A, B, and C
Transcribed Image Text:3)
Area-ofle Sides+ add legetor
wante
A) lwant de
V= xyZ
aD
dt
SA= 2xy + dxz + ayz.
De
Transcribed Image Text:3. If we have a box with sides of length x, y and z and we know that dx
5m/s, *
= -1m/s and
= 2m/s, find the requested rates when x = 3m, y = 7m and z = 1m.
%3D
dt
(a) The rate at which the volume is changing. 0r
elevtri ngvis ar no anoioml g woliot or 1ol E e tuloadedt bold
(b) The rate at which the surface area is changing.
(c) The rate at which the diagonal length (the length between opposite corners) is changing. ()
Expert Solution
Step 1
given that a box has a sides of length of x=3m ,y=7m and z=1m.
and also the rate of change of this length is given by
dx/dt=5m/s , dy/dt=-1m/s and dz/dt=2m/s.
we need to find :
(a) the rate at which volume is changing.
(b) the rate at which the surface area is changing.
(c) the rate at which the diagonal is changing.
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