cathyanncollins3779 cathyanncollins3779
  • 11-09-2017
  • Mathematics
contestada

Find he change in the volume of a cube when the edge lengths all change by an amount dx

Respuesta :

caylus
caylus caylus
  • 11-09-2017
Hello,

Method 1:

V=x^3
dV=3x²*dx

Method 2:

V+dV=(x+dx)^3=x^3+3x^2dx+3xdx²+dx^3
V=x^3

V+dV-V=dV=3x²dx+3xdx²+dx^3
Since dx^3<<dx^2<dx , we forget dx^3 and dx^2
==>dV=3x²dx

Answer Link

Otras preguntas

In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 229229 accurate orders and 7070 that were not accurate. a. Construct a 9090​% co
Who Proposed the idea of natural rights and popular sovereignty
Accrual accounting is used because Group of answer choices cash flows are considered less important. it provides a better indication of ability to generate ca
The management of Sport Shoes Corporation, a U.S. firm, wants to expand into foreign investment and employment markets. They are considering either opening thei
If anyone can, please help me. I have to determine the value of x.
The side, s, of a square with area A square feet is given by the formula s = square root A. Find the perimeter of a square with an area of 36 square feet. _____
the original price P of a shirt less $5 discount​
Work out the size of angle x
23. What is the purpose of both deregulation and antitrust laws? A to promote government control B to prevent monopolies C to promote competition D to prevent i
Define the limitations in the operation conditions of a P-N junction​