Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.1 Surfaces and Level Curves, #11 · Multivariable Calculus · Partial derivatives
Suppose the level curves are parallel straight lines
Suppose the level curves are parallel straight lines. Does the surface have to be a plane?
Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.1 Surfaces and Level Curves, #11
Stuck? A gentle nudge
No hints for this one.
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.