Use cylindrical coordinates to evaluate the triple integral ∫∫∫+y2√∫∫∫ex2+y2dv, where e is the solid bounded by the circular paraboloid z=16−9(x2+y2)z=16−9(x2+y2) and the xyxy -plane.

Reflect the point (7,0) across the y-axis

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.