Evaluate the following double integral over the region R. ||(x' -y') dA; R= {(x,y): 0
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- In Exercises 1-12, sketch 1he region bounded by 1he given lines and curves. Then express the region's area as an iterated double integral and evaluate 1he integral. Need Solution through 15min4. Evaluate the double integral over rectangle S, xycosy dA, R:[-1,2] x [0, Pi]Sketch the solid and set-up the iterated double integrals for the area of the region bounded by y2 = x and y = x-2.
- Sketch the solid and set-up the iterated double integrals for the area of the region inside r = 3-3cosθ but outside r = 3.Use Green’s theorem and a line integral to find the region bounded by x2+y2=a2Use symmetry to evaluate the given integral.where D is the region bounded by the square with vertices (±5, 0) and (0, ±5).