Consider a body defined in y 〉 0, which lies below the surface z-y and above the region r in the ry-plane with edges given by y 0, y 3(4 -2) and -y22 (a) define the region r as the union of two regions, separated by the line x 1. in and x- one region let y be the inner variable and in the second region let z be the inner variable of integration. (b) calculate the volume of the body.

Mr switzer needs to buy new 1-foot tiles to cover his bathroom floor. the floor is 12 feet long and 8 feet wide. each square foot of tile will cost $1.79. in dollars what will be the total cost of the tiles he needs to buy.

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %

Atriangle in the coordinates of (2,3), (-4,5) and (-2,4) it is translated 3 units down. what are it’s new coordinates