MediumGradient & optimization

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.6 Maxima, Minima, and Saddle Points, #41 · Multivariable Calculus · Gradient & optimization

Suppose the road from corner 1 is wider than the others, and…

These problems minimize the Steiner distance $f = d_{1} + d_{2} + d_{3}$ and related functions. A computer is needed for 33 and.

Suppose the road from corner 1 is wider than the others, and the total cost is $f (x, y) = 2 d_{1} + d_{2} + d_{3}$ . Find the gradient of $f$ and the angles at which the best roads meet.

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.6 Maxima, Minima, and Saddle Points, #41

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.