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. ()

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...

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