MathCastle
Multivariable CalculusEasyChange of Variables & the Jacobian

Change of Variables & the Jacobian · Easy problem

The map x=2ux = 2u, y=3vy = 3v, z=4wz = 4w sends the unit cube 0≤u,v,w≤10 \le u, v, w \le 1 to a box BB. Use the Jacobian to find the volume of BB.