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 $\overset{r}{ˉ} = \iint____/ \iint____$ .

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

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