Practice question · Multiple choice
A sphere is awkward in Cartesian coordinates and simple in spherical ones. What does that coordinate change actually buy?
Hints
- Write the limits for a sphere in , , , then in , , .
- Compare which set contains square roots.
Show the answer
A. Constant limits: the curved boundary becomes
Why
Substitution is chosen for the LIMITS. The Jacobian is the price, and it is worth paying because a box is easy and a variable-limit region is not.
Practise Polar, Cylindrical, and Spherical Coordinates
The app has 7 more questions on this lesson, and keeps your place in the course. Physics I is free to start.