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Unformatted text preview: Z1 Z √ y +1√ y +1 f ( x, y ) dxdy Defn. Average Value of f The average value of f over a region R is Example Find the average value of x cos xy over the rectangle R : 0 ≤ x ≤ π , 0 ≤ y ≤ 1. 5 DO. 1. Sketch the region of integration for Z 2 1 Z y 2 y f ( x, y ) dxdy . 2. Reverse the order of integration of Z 1 Z y 2 y f ( x, y ) dxdy . 3. SETUP only. Find the area of the region bounded by x = 1 2 y 23 and xy = 1. 6 4. SETUP only. Find the volume of the solid whose base is the region in the xyplane that is bounded by the parabola y = 4x 2 and the line y = 3 x , while the top of the solid is bounded by the plane z = x + 4. 7...
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 Spring '03
 MECothren
 Integrals, Multivariable Calculus

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