10. [-/3 Points] DETAILS LARCALC11 14.1.035. Use an iterated integral to find the area of the region. y = 64 - X2 dy dx = y 60 50 40 30 20 10 2 4 611. [-/3 Points] DETAILS LARCALC11 14.1.043. Sketch the region R of integration and switch the order of integration. 1 6 10 Rx , x ) dx dy y 4- y 4- 2- 2 2 6 2 6 X A O O y 4- y 4 . 2- 2 2 6 2 6 X A O O 1 6 / Rx, v ) dx dy = f ( x, y ) dy dx12. [-/3 Points] DETAILS LARCALC11 14.1.047. Sketch the region R of integration and switch the order of integration. 10 In(y) f ( x, y) dx dy 1\f13. [-/4 Points] DETAILS LARCALC11 14.1.051. Sketch the region R whose area is given by the iterated integral. . lo ay ax 27 1.8 1.6 1.4 1.2 y in 0.8 -0.5 2 6 0.6 O -1 0.4 0.2 -0.5 0.5 1.5 2 O CO 6 6- 2- 0 -1 0 0.5 11.52 O O Change the order of integration and show that both orders yield the same area. 1 60 arax = 1 dx dy = Jo14. [-/4 Points] DETAILS LARCALC11 14.1.057. Sketch the region R whose area is given by the iterated integral. dy dx 5- 2 10 3 2 3 4 5 O O y 2- y 21 5 6 2 3 5 Change the order of integration and show that both orders yield the same area. 6 10 ay ax + 6 % - X dy dx = dx dy =15. [-/4 Points] DETAILS LARCALC11 14.1.064. Sketch the region of integration. (Select the correct graph. ) 3 3 e-y dy dxEvaluate the iterated integral. (Hint: Note that it is necessary to switch the order of integration. Round your answer to four decimal places.) 3 3 // e'yzdydx=/ / e'yzdxdyz O X o o