5. [/1 Points] DETAILS SCALC8 5.1.046. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Sketch the region in the xy-plane defined by the inequalities x 7y2 2 0, 1 X 6|y| 2 0 and nd its area. Need Help? 6. [/1 Points] DETAILS SCALC8 5.1.048. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The widths (in meters) of a kidneyshaped swimming pool were measured at 1meter intervals as indicated in the figure. Use the Midpoint Rule with n = 4 to estimate the area S of the pool If a1 = 3.1, .32 = 3.6, 63 = 3.4, a4 = 2.8, as = 2.5, as = 2.4, and a7 = 2.4. m Need Help? 9. [1/2 Points] DETAILS PREVIOUS ANSWERS SCALC8 5.1.507.XP. Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximationg rectangle. y = _ sin(1X ), y = =x y 1.0 y 1.0 0.8 0.5 0.6 0.4 -1.5 -1.0 -0.5 0.5 1.0 1.5 0.2 -0.5 - X O 0.2 0.4 0.6 0.8 1.0 1.2 1.4 O -1.0 y y 1.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 -0.2 0.5 -0.4 - 1.5 -1.0 -0.5 1.0 1.5 -0.6 -0.5 -0.8 - 1.0 O-1.0 O Find the area of the region.8. [112 Points] DETAILS PREVIOUS ANSWERS SCALC8 5.1.503.XP. | MY h Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. =22 2:; y x,y 2X Find the area of the region. :1