Let R be the set of points with 1 x 2 and 0 ...

 

 

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Let R be the set of points with 1 ≤ x ≤ 2 and 0 ≤ y ≤ 1 and 8(x, y) = x. Find the inertia when R is rotated around the line x = y. (The distance between (a, b) and the line x = y is d = |a-bl/√2). The inertia is defined as, I=ffd²8(x, y) dx dy. Let R be the set of points with 1 ≤ x ≤ 2 and 0 ≤ y ≤ 1 and 8(x, y) = x. Find the inertia when R is rotated around the line x = y. (The distance between (a, b) and the line x = y is d = |a-bl/√2). The inertia is defined as, I=ffd²8(x, y) dx dy.

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To find the inertia when R is rotated around the line xy we need to calculate the integra... View the full answer