MathCastle
Multivariable CalculusEasyChange of Variables & the Jacobian

Change of Variables & the Jacobian · Easy problem

The linear map x=2ux = 2u, y=u+3vy = u + 3v, z=u+v+5wz = u + v + 5w sends the unit cube 0≤u,v,w≤10 \le u, v, w \le 1 onto a parallelepiped BB. Use the Jacobian to find the volume of BB.