Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §14.2 Change to Better Coordinates, #10 · Multivariable Calculus · Change of variables

If the centroid of … is …, the centroid of … is…

R is a pie-shaped wedge: $0 ⩽ r ⩽ 1$ and $π /4 ⩽ θ ⩽ 3 π /4$ .

If the centroid of $R$ is $(0, \overset{y}{ˉ})$ , the centroid of $R^{*}$ is \_\_\_\_\_\_.
The centroid of the circle with radius 3 and center $(1, 2)$ is \_\_\_\_\_\_.
The centroid of the upper half of that circle is \_\_\_\_\_\_.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §14.2 Change to Better Coordinates, #10

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