Mass Question 2, 16.6.9 > HW Score: 0%, 0 of Part 1 of 2 O Points: 0 of 1 Find the mass and center of mass of the thin rod with the following density function. p(x) = 3 + sin x, for OSXSI The mass is (Simplify your answer. Type an exact answer.)Question 3, 16.6.16 > HW Score: 0%, 0 of 10 points Part 1 of2 0 Points: 0 of 1 Find the centroid (center of mass} of the following thin plate, assuming constant density. Sketch the region corresponding to the plate and indicate the location of the center of mass. Use symmetry when possible to simplify the work. The region in the rst quadrant bounded by x2 + y2 =1 <:> The centroid is located at E. (Type an ordered pair. Type an exact answer. using it as needed.) Mass Question 5, 16.6.21 HW Score: 0%, 0 of 10 points Part 1 of 2 O Points: 0 of 1 Save Find the center of mass of the following plane region with variable density. Describe the distribution of mass in the region. R = {(x,y): Osxs8, 0sys7}; p(X,y) = 1+ N X The center of mass is (Type an ordered pair, using integers or fractions.)Mass Question 6, 16.6.31 > HW Score: 0%, 0 of 10 points Part 1 of 2 O Points: 0 of 1 Save Find the center of mass of the following solid, assuming a constant density of 1. Sketch the region and indicate the location of the centroid. Use symmetry when possible and choose a convenient coordinate system. The sliced solid cylinder bounded by x + y- = 196, z =0, and y + z = 14 The center of mass, in Cartesian coordinates, is located at (Type exact answers in simplified form.)Question 7, 16.6.33 Find the coordinates of the center of mass of the following solid with variable density. ={(x,y,z): 05x54, 053:51, 05251}; p(x,y,z)=4+ c:) The center of mass is located at ('1' D\" E) (Type exact answers in simplified form.) Mass Question 8, 16.6.43 HW Score: 0%, 0 of 10 points HW Score: 0%, 0 of 10 points Parl1 of2 0 Points: Def 1 Find the center of mass (centroid) of the following thin, constant-density plate. Sketch the region corresponding to the plate and indicate the location of the center of mass. Use symmetry whenever possible to simplify the work. The region bounded by y = 8 sin x and y = 0 between x = O and x = a: (E) The center of mass is (Type an ordered pair. Type an exact answer. using it as needed.)