Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x, y,z) so that ∫uyly∫uzlz∫uxlxdxdzdy represents the volume of the region in the first octant that is inside the paraboloid y=x2+8z2 and between the planes y=8 and y=10.

Three coins are flipped. what is the probability that there will be at least two tails?

Hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to his brother. alex ended up with 16 video games. how many video games did alex have when he started?

Boris needs to buy plastic spoons. brand a has a box 42 spoons for $2.37. brand b has a box of 72 spoons for $3.57. find the unit price for each brand. then state which brand is the better buy based on the unit price. round your answer to the nearest cent.