1. [-/2 Points] DETAILS LARCALC10 14.3.009. MY NOTES ASK YOUR TEACHER Evaluate the double integral 1 / Fr , 8 ) dA . (7:/2 (3 cos(8) -x/2.Jo op Jp J Sketch the region R. 7/2 N -1 -1 -2 -1 1 2 -2 O -1 O IT /2 T/2 2- 1 -4 - 2 -1 -2 -1 2 -16 O O 2. [-/1 Points] DETAILS LARCALC10 14.4.001. MY NOTES ASK YOUR TEACHER Find the mass of the lamina described by the inequalities, given that its density is p(x, y) = xy. (Hint: Some of the integrals are simpler in polar coordinates.) O sx s 12, 0 sys 12 3. [-/1 Points] DETAILS LARCALC10 14.4.002.MI. MY NOTES ASK YOUR TEACHER Find the mass of the lamina described by the inequalities, given that its density is p(x, y) = xy. (Hint: Some of the integrals are simpler in polar coordinates.) O S x 5 4, 0 sys 16 - x2 4. [-/2 Points] DETAILS LARCALCET7 14.4.013. MY NOTES ASK YOUR TEACHER Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given density. y = Vx y = 0 X = 4 p = ky m = (x, y) = (5. [-16 Points] DETAILS LARCALCET? 14.4.007. MY NOTES ASK YOUR TEACHER Find the mass and center of mass of the lamina corresponding to the region R for each density. R: square with vertices (0, 0), (a, 0), (D, a), (a, a) (a) P=k 3 II n '>