Lemma
MediumPartial derivatives
Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.1 Surfaces and Level Curves, #16 · Multivariable Calculus · Partial derivatives

Find a function … whose level curve … consists of a circle…

Find a function whose level curve consists of a circle and _all points inside it_.

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.1 Surfaces and Level Curves, #16

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.

Sign in to have your work checked. It's free.