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The length I, width w, and height h of a rectangular box (with a lid) change with time. At a certain instant the dimensions are l=2 m, w =4 m, h = 2 m, and I and w are increasing at a rate of 2 m/s while h is decreasing at a rate of 4 m/s. Die lengte I, breedte w, en hoogte h van 'n regjoekige boks (met 'n deksel) verander met tyd. Op 'n sekere oomblik is die dimensies I= 2 m, w=4 m. h=2 m, en l en w toeneem teen 'n tempo van 2 m/s terwyl h afneem teen 'n tempo van 4 m/s. Suppose S the surface area of the box. At the given instant, we have: Veronderstel S is die buiteoppervlak van die boks. Op die gegewe oomblik het ons: %3D as %3D The rate at which the surface area of the box is changing at that instant is Die tempo waarteen die buiteoppervlak van die boks verander op daardie combilik is:

The length I, width w, and height h of a rectangular box (with a lid) change with time. At a certain instant the dimensions are l=2 m, w =4 m, h = 2 m, and I and w are increasing at a rate of 2 m/s while h is decreasing at a rate of 4 m/s. Die lengte I, breedte w, en hoogte h van 'n regjoekige boks (met 'n deksel) verander met tyd. Op 'n sekere oomblik is die dimensies I= 2 m, w=4 m. h=2 m, en l en w toeneem teen 'n tempo van 2 m/s terwyl h afneem teen 'n tempo van 4 m/s. Suppose S the surface area of the box. At the given instant, we have: Veronderstel S is die buiteoppervlak van die boks. Op die gegewe oomblik het ons: %3D as %3D The rate at which the surface area of the box is changing at that instant is Die tempo waarteen die buiteoppervlak van die boks verander op daardie combilik is:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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The length I, width w, and height h of a rectangular box (with a lid) change with time. At a certain instant the dimensions are l= 2 m, w =4 m, h = 2 m, and I and w are increasing at a rate of 2 m/s while h is decreasing at a rate of 4 m/s. Die lengte 1, breedte w, en hoogte h van 'n regjoekige boks (met 'n deksel) verander met tyd. Op 'n sekere oomblik is die dimensiesl=2 m, w = 4 m. h=2 m, en l en w toeneem teen 'n tempo van 2 m/s terwyl h afneem teen 'n tempo van 4 m/s. Suppose S the surface area of the box. At the given instant, we have: Veronderstel S is die buiteoppervlak van die boks. Op die gegewe oomblik het ons: as %3D The rate at which the surface area of the box is changing at that instant is Die tempo waarteen die buiteoppervlak van die boks verander op daardie oomblik is:
Transcribed Image Text:The length I, width w, and height h of a rectangular box (with a lid) change with time. At a certain instant the dimensions are l= 2 m, w =4 m, h = 2 m, and I and w are increasing at a rate of 2 m/s while h is decreasing at a rate of 4 m/s. Die lengte 1, breedte w, en hoogte h van 'n regjoekige boks (met 'n deksel) verander met tyd. Op 'n sekere oomblik is die dimensiesl=2 m, w = 4 m. h=2 m, en l en w toeneem teen 'n tempo van 2 m/s terwyl h afneem teen 'n tempo van 4 m/s. Suppose S the surface area of the box. At the given instant, we have: Veronderstel S is die buiteoppervlak van die boks. Op die gegewe oomblik het ons: as %3D The rate at which the surface area of the box is changing at that instant is Die tempo waarteen die buiteoppervlak van die boks verander op daardie oomblik is:
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