1. Given Se dA where R is the triangle formed by the y-axis, x = 2y,...

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1. Given Se dA where R is the triangle formed by the y-axis, x = 2y, and y = 1. Set up this integral in two different ways and evaluate one of them. Show your work. 2. Find the area of the region bounded by the curves x+ y = 5 and xy = 6. Use your calculator to evaluate this integral. Show your work. Give an exact answer. 3. Given f(x, y) dydx. Sketch the region of integration and rewrite the integral with the order of integration reversed. 4. Given y cos(xy) dydx. Sketch the region of integration, rewrite the integral with the order of integration reversed, and evaluate the resulting integral. Show your work. 5. Sketch the region bounded by the graphs of the given equations, and find its area by using a double integral. Show your work. x = y, y-x=2, y =-2, y =3 1. Given Se dA where R is the triangle formed by the y-axis, x = 2y, and y = 1. Set up this integral in two different ways and evaluate one of them. Show your work. 2. Find the area of the region bounded by the curves x+ y = 5 and xy = 6. Use your calculator to evaluate this integral. Show your work. Give an exact answer. 3. Given f(x, y) dydx. Sketch the region of integration and rewrite the integral with the order of integration reversed. 4. Given y cos(xy) dydx. Sketch the region of integration, rewrite the integral with the order of integration reversed, and evaluate the resulting integral. Show your work. 5. Sketch the region bounded by the graphs of the given equations, and find its area by using a double integral. Show your work. x = y, y-x=2, y =-2, y =3