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

Yifei and Santos are making a diorama on the ecological role of organisms. Yifei wants to show the omnivores eating both plants and other animals, and the herbi
PLEASE HELP QUESTION IN PICTURE
Use the position-to-term rule to work out the first four terms of each sequence. A. Term =position number + 5 B. term = 3 * position number -1 C. Term = positio
Answer 1 question. Thanms
An electrician reads a resistance of 65 ohms and when energize the circuit runs 1.77 amps. what voltage to the system run on?
if f(x) = 2x-1 what is f(4)
Express the dollowing fraction in decimal form as a terminating decimal or as a infinite repeating decimal 3/16
Who is the antagonist in "The Ambitious Guest" by Nathaniel Hawthorne and why? Is the antagonist a round, flat, or stock character?
Write as the opposite of a square root. -3√5
Can someone help me with my Spanish homework? I’ve done some and my teacher helped me a bit but I still don’t understand. Also if you can let me know if I got a