Answer Happy

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).