5. [-/10 Points] DETAILS LARLINALG8 4.5.075. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find a basis for and the dimension of the subspace W of R". W = {(3s - t, s, 4t, s): s and & are real numbers) (a) a basis for the subspace W of 24 1828 313 (b) the dimension of the subspace w of 24 Need Help? Read It 6. [-/10 Points] DETAILS LARLINALG8 4.4.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine whether the set $ spans R . If the set does not span R , then give a geometric description of the subspace that it does span. s = {(4, 7, 2), (-2, 2, 6), (1, -4, 4)} O S spans 83. O S does not span 23. 8 spans a plane in 23. O S does not span R3. S spans a line in R3. O s does not span R. S spans a point in &]. Need Help? Read !The region bounded by the curve x=y2, the y-axis, and the line y=2 is revolved about the x-axis. Find the volume of the solid generated. Take the elements of area parallel to the axis of revolution. (20pts) l