Find the Jacobian ∂(x, y, z)/∂(u, v, w) of the transformation x = 2uv + w, y = πu − vw, z = v ln w.

Ricardo ran the 400 meter race 3 times his fastest time was 54.3 seconds his slowest time was 56.1 seconds if his average time was 55.0 seconds what was his time for the third race

An architect is designing a water fountain for a park she uses the given function to model the water jet flowing from the fountain nozzles where h(x) gives the height of the water jugs in feet x feet from the starting point h(x)=-1/20x+x+15

Write an inequality and solve each problem.for exercises 11 and 12, interpret the solution.