1. Let R be the region bounded by the graphs of y = 1, x + y = 0 and y = √. (a) Carefully sketch the region R. Label all

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1 Let R Be The Region Bounded By The Graphs Of Y 1 X Y 0 And Y A Carefully Sketch The Region R Label All 1 (46.85 KiB) Viewed 54 times

1. Let R be the region bounded by the graphs of y = 1, x + y = 0 and y = √. (a) Carefully sketch the region R. Label all the curves and find the coordinates of the points of intersection. (b) Set up an integral/integrals for the area of R using a as the integration variable. Then evaluate your integral(s). (c) Set up an integral/integrals for the area of R using y as the integration variable. Then evaluate your integral(s). 2. Let R be the region bounded by the graphs of y = x² + 2, y = 2x, x = 1 and the Y-axis. (a) Carefully sketch the region R. Label all the curves and find the coordinates of the points of intersection. (b) Set up an integral/integrals for the area of R using z as the integration variable. Then evaluate your integral(s). (c) Set up an integral/integrals for the area of R using y as the integration variable. Then evaluate your integral(s).