The height of a rectangular box is increasing at a rate (2m/s) while the volume is decreasing at a rate of (5m elevation cubed/s). The base of the box is a square and k is the rate at which one of the sides of the base is decreasing at the moment when the area of the square is (64m squared) and the box height is 8m. Find the value of 64 multiplied k.
The height of a rectangular box is increasing at a rate (2m/s) while the volume is decreasing at a rate of (5m elevation cubed/s). The base of the box is a square and k is the rate at which one of the sides of the base is decreasing at the moment when the area of the square is (64m squared) and the box height is 8m. Find the value of 64 multiplied k.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The height of a rectangular box is increasing at a rate (2m/s) while the volume is decreasing at a rate of (5m elevation cubed/s). The base of the box is a square and k is the rate at which one of the sides of the base is decreasing at the moment when the area of the square is (64m squared) and the box height is 8m. Find the value of 64 multiplied k.
(image in portuguese if you have doubts about the measurements)
Transcribed Image Text:► PROBLEMA 5
A altura de uma caixa retangular está crescendo a uma taxa
de 2m/s enquanto que o volume está decrescendo a uma
taxa de 5m³/s. A base da caixa é um quadrado e k é a
taxa em que um dos lados dessa base está decrescendo no
momento em que a área do quadrado é de 64m² e a altura
da caixa é de 8m. Encontre o valor de 64 k. Digite apenas o
valor em unidade de medida, espaços ou pontos. A resposta
é um número inteiro.
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