MediumChange of variables

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §14.2 Change to Better Coordinates, #29 · Multivariable Calculus · Change of variables

Find the average distance from a point on a circle to the…

Find the average distance from a point on a circle to the points inside. Suggestion: Let $(0, 0)$ be the point and let $0 \leq r \leq 2 a cos θ$ , $0 \leq θ \leq π$ be the circle (radius $a$ ). The distance is $r$ , so the average distance is $\overset{r}{ˉ} = \iint____/ \iint____$ .

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §14.2 Change to Better Coordinates, #29

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.