The two-dimensional velocity field for an incompressible newtonian fluid is described by the relationship v = (12xy2 − 6x 3 )i + (18x 2 y − 4y 3 )j where the velocity has units of m/s when x and y are in meters. determine the stresses σxx, σyy, and τxy at the point x = 0.5 m, y = 1.0 m if pressure at this point is 6 kpa and the fluid is glycerin at 20 °c.

Orly uses 2 cups of raisins for every 12 cups of trail mix she makes. how many cups of trail mix will she make if she uses 8 cups of raisins?

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

When george started his current job, his employer told him that at the end of the first year, he would receive two vacation days. after each year worked, his number of vacation days will double up to five work weeks (25days) of payed vacation. how many vacation days will he have in 4 years